diff --git "a/trees/auto_problem_094_tree.json" "b/trees/auto_problem_094_tree.json" new file mode 100644--- /dev/null +++ "b/trees/auto_problem_094_tree.json" @@ -0,0 +1,114023 @@ +{ + "problem_id": "auto_problem_094", + "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", + "correct_answer": "Optimal feasible solution found via LP", + "tree_type": "modification", + "root_id": "node_0", + "total_nodes": 3486, + "max_depth": 8, + "nodes": { + "node_0": { + "node_id": "node_0", + "content": "INITIAL DESIGN (Trace 0)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 227.80 kg\n Factor of Safety: 0.76\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.7982353603523, + "fos_buckling": 0.757288878463094, + "fos_yielding": 1.747379017458573, + "deflection": 0.006926325210734019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1": { + "node_id": "node_1", + "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 228.62 kg\n Factor of Safety: 0.76\n Max Deflection: 6.91e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.6167724095922, + "fos_buckling": 0.7571951861455525, + "fos_yielding": 1.7473531333241976, + "deflection": 0.0069075624745326665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.239)" + }, + "parent_node_id": "node_0", + "improvement_over_parent": null + }, + "node_2": { + "node_id": "node_2", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 245.02 kg\n Factor of Safety: 1.27\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.02132662015816, + "fos_buckling": 1.2698056730380465, + "fos_yielding": 1.7684104817113295, + "deflection": 0.006354941709176645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003551)" + }, + "parent_node_id": "node_1", + "improvement_over_parent": null + }, + "node_3": { + "node_id": "node_3", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2688222213712, + "fos_buckling": 1.5134728444279122, + "fos_yielding": 2.18589985395348, + "deflection": 0.005157191628548139, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_2", + "improvement_over_parent": null + }, + "node_4": { + "node_id": "node_4", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3", + "improvement_over_parent": null + }, + "node_5": { + "node_id": "node_5", + "content": "INITIAL DESIGN (Trace 1)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 157.74 kg\n Factor of Safety: 0.32\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.74168222077924, + "fos_buckling": 0.31774372900907843, + "fos_yielding": 0.7315489606133432, + "deflection": 0.019170966525122984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_6": { + "node_id": "node_6", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 169.79 kg\n Factor of Safety: 0.32\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.79099472005893, + "fos_buckling": 0.3176005270674387, + "fos_yielding": 0.8952331484308429, + "deflection": 0.016577629325051704, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002733)" + }, + "parent_node_id": "node_5", + "improvement_over_parent": null + }, + "node_7": { + "node_id": "node_7", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n\nPerformance:\n Mass: 187.22 kg\n Factor of Safety: 0.75\n Max Deflection: 8.54e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.22337350751607, + "fos_buckling": 0.7530982570575024, + "fos_yielding": 0.9296473233958307, + "deflection": 0.008538711601998537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003530)" + }, + "parent_node_id": "node_6", + "improvement_over_parent": null + }, + "node_8": { + "node_id": "node_8", + "content": "MODIFICATION: Increase 15 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n\nPerformance:\n Mass: 192.73 kg\n Factor of Safety: 0.75\n Max Deflection: 8.29e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.7289207897996, + "fos_buckling": 0.7539599120249535, + "fos_yielding": 0.9307109764141119, + "deflection": 0.008286309058788731, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.342)" + }, + "parent_node_id": "node_7", + "improvement_over_parent": null + }, + "node_9": { + "node_id": "node_9", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0057)]\n\nPerformance:\n Mass: 227.43 kg\n Factor of Safety: 0.88\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.43119842890204, + "fos_buckling": 0.8812941683664373, + "fos_yielding": 1.1019461391538736, + "deflection": 0.007036430376492945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_8", + "improvement_over_parent": null + }, + "node_10": { + "node_id": "node_10", + "content": "MODIFICATION: Increase 10 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0057)]\n\nPerformance:\n Mass: 237.52 kg\n Factor of Safety: 0.88\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.51504591205907, + "fos_buckling": 0.8811039358300236, + "fos_yielding": 1.1017082775900884, + "deflection": 0.006863799546512163, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.590)" + }, + "parent_node_id": "node_9", + "improvement_over_parent": null + }, + "node_11": { + "node_id": "node_11", + "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0057)]\n\nPerformance:\n Mass: 248.17 kg\n Factor of Safety: 0.88\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.16566184066835, + "fos_buckling": 0.8812748939638853, + "fos_yielding": 1.1019220389677622, + "deflection": 0.006371976408905903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.618)" + }, + "parent_node_id": "node_10", + "improvement_over_parent": null + }, + "node_12": { + "node_id": "node_12", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0061)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0078)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0073)]\n\nPerformance:\n Mass: 314.01 kg\n Factor of Safety: 1.10\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 314.0128144814188, + "fos_buckling": 1.0987558065817937, + "fos_yielding": 1.4062127682350976, + "deflection": 0.005054898500005332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_11", + "improvement_over_parent": null + }, + "node_13": { + "node_id": "node_13", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_12", + "improvement_over_parent": null + }, + "node_14": { + "node_id": "node_14", + "content": "INITIAL DESIGN (Trace 2)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 187.62 kg\n Factor of Safety: 0.88\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.6172726042582, + "fos_buckling": 0.8819940549870144, + "fos_yielding": 1.1026766262779208, + "deflection": 0.008264934826920365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_15": { + "node_id": "node_15", + "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 188.93 kg\n Factor of Safety: 1.01\n Max Deflection: 8.21e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.9255769234633, + "fos_buckling": 1.0142721855780517, + "fos_yielding": 1.365307528517464, + "deflection": 0.008206539522402419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.261)" + }, + "parent_node_id": "node_14", + "improvement_over_parent": null + }, + "node_16": { + "node_id": "node_16", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 237.74 kg\n Factor of Safety: 1.24\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.73536368595705, + "fos_buckling": 1.2377876046162, + "fos_yielding": 1.716127372598293, + "deflection": 0.006546032822047587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_15", + "improvement_over_parent": null + }, + "node_17": { + "node_id": "node_17", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 265.60 kg\n Factor of Safety: 1.36\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.60340310586037, + "fos_buckling": 1.3584292761905676, + "fos_yielding": 1.9160783495650997, + "deflection": 0.005871664346624009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_16", + "improvement_over_parent": null + }, + "node_18": { + "node_id": "node_18", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.08 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.0793011079928, + "fos_buckling": 1.5127284282484024, + "fos_yielding": 2.184564578510449, + "deflection": 0.0051603191485478815, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_17", + "improvement_over_parent": null + }, + "node_19": { + "node_id": "node_19", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_18", + "improvement_over_parent": null + }, + "node_20": { + "node_id": "node_20", + "content": "INITIAL DESIGN (Trace 3)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 204.24 kg\n Factor of Safety: 0.97\n Max Deflection: 7.60e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.24143901969165, + "fos_buckling": 0.9722869811993169, + "fos_yielding": 1.227138590667564, + "deflection": 0.007600645663789424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_21": { + "node_id": "node_21", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 251.63 kg\n Factor of Safety: 1.17\n Max Deflection: 6.19e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.62660393399423, + "fos_buckling": 1.1735719626825472, + "fos_yielding": 1.5142966381754355, + "deflection": 0.006191626670990769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_20", + "improvement_over_parent": null + }, + "node_22": { + "node_id": "node_22", + "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 253.19 kg\n Factor of Safety: 1.31\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.1931443919403, + "fos_buckling": 1.3053023417387422, + "fos_yielding": 1.828268264830101, + "deflection": 0.006153664566546303, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.232)" + }, + "parent_node_id": "node_21", + "improvement_over_parent": null + }, + "node_23": { + "node_id": "node_23", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.22 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2245699093615, + "fos_buckling": 1.5132805540545053, + "fos_yielding": 2.1870141985845666, + "deflection": 0.005157922856861696, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_22", + "improvement_over_parent": null + }, + "node_24": { + "node_id": "node_24", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_23", + "improvement_over_parent": null + }, + "node_25": { + "node_id": "node_25", + "content": "INITIAL DESIGN (Trace 4)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 206.15 kg\n Factor of Safety: 0.85\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.153440508678, + "fos_buckling": 0.8528084073033382, + "fos_yielding": 1.7952787530971537, + "deflection": 0.008055996033208166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_26": { + "node_id": "node_26", + "content": "MODIFICATION: Increase 13 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 208.09 kg\n Factor of Safety: 0.85\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.09128185251456, + "fos_buckling": 0.8525650183262131, + "fos_yielding": 1.7950537060736176, + "deflection": 0.008057032154796296, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.179)" + }, + "parent_node_id": "node_25", + "improvement_over_parent": null + }, + "node_27": { + "node_id": "node_27", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 241.84 kg\n Factor of Safety: 0.97\n Max Deflection: 6.95e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.83792804232596, + "fos_buckling": 0.9653558967974061, + "fos_yielding": 2.0847680722676936, + "deflection": 0.006948304105722054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_26", + "improvement_over_parent": null + }, + "node_28": { + "node_id": "node_28", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 278.08 kg\n Factor of Safety: 1.08\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.0779895289252, + "fos_buckling": 1.0788770819737865, + "fos_yielding": 2.395400151560395, + "deflection": 0.0060571476359939785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_27", + "improvement_over_parent": null + }, + "node_29": { + "node_id": "node_29", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 290.77 kg\n Factor of Safety: 1.23\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.76636078741376, + "fos_buckling": 1.233647856544207, + "fos_yielding": 2.1869499991936237, + "deflection": 0.005629455219678054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_28", + "improvement_over_parent": null + }, + "node_30": { + "node_id": "node_30", + "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 297.72 kg\n Factor of Safety: 1.51\n Max Deflection: 5.37e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 297.7217675817836, + "fos_buckling": 1.5108091222289834, + "fos_yielding": 2.190888928127749, + "deflection": 0.005368667331504461, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.399)" + }, + "parent_node_id": "node_29", + "improvement_over_parent": null + }, + "node_31": { + "node_id": "node_31", + "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4464862922319, + "fos_buckling": 1.5142421193308335, + "fos_yielding": 2.187242405001525, + "deflection": 0.005154219136032938, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.292)" + }, + "parent_node_id": "node_30", + "improvement_over_parent": null + }, + "node_32": { + "node_id": "node_32", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_31", + "improvement_over_parent": null + }, + "node_33": { + "node_id": "node_33", + "content": "INITIAL DESIGN (Trace 5)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n\nPerformance:\n Mass: 196.65 kg\n Factor of Safety: 0.55\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.65152501376093, + "fos_buckling": 0.5540268295464911, + "fos_yielding": 1.7015592526301304, + "deflection": 0.008487861249698317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_34": { + "node_id": "node_34", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 235.37 kg\n Factor of Safety: 0.65\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.3744188625685, + "fos_buckling": 0.6523020996634101, + "fos_yielding": 2.035065417305975, + "deflection": 0.007111269339998547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_33", + "improvement_over_parent": null + }, + "node_35": { + "node_id": "node_35", + "content": "MODIFICATION: Increase 14 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 242.90 kg\n Factor of Safety: 0.94\n Max Deflection: 6.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.90430626426013, + "fos_buckling": 0.9444430074388279, + "fos_yielding": 2.035065417305975, + "deflection": 0.0067225249098596595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.565)" + }, + "parent_node_id": "node_34", + "improvement_over_parent": null + }, + "node_36": { + "node_id": "node_36", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n\nPerformance:\n Mass: 253.68 kg\n Factor of Safety: 1.37\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.68410390695917, + "fos_buckling": 1.3730497790909622, + "fos_yielding": 1.8595002115637163, + "deflection": 0.00622394733857256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003183)" + }, + "parent_node_id": "node_35", + "improvement_over_parent": null + }, + "node_37": { + "node_id": "node_37", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n\nPerformance:\n Mass: 257.73 kg\n Factor of Safety: 1.32\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.7253745052666, + "fos_buckling": 1.324978689658934, + "fos_yielding": 1.8596237216939826, + "deflection": 0.006047640993219633, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.247)" + }, + "parent_node_id": "node_36", + "improvement_over_parent": null + }, + "node_38": { + "node_id": "node_38", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.48 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4787209827284, + "fos_buckling": 1.5144815467834205, + "fos_yielding": 2.187474294532011, + "deflection": 0.00515378890408591, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_37", + "improvement_over_parent": null + }, + "node_39": { + "node_id": "node_39", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_38", + "improvement_over_parent": null + }, + "node_40": { + "node_id": "node_40", + "content": "INITIAL DESIGN (Trace 6)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 197.03 kg\n Factor of Safety: 0.95\n Max Deflection: 7.63e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.02799087430105, + "fos_buckling": 0.9488488987433352, + "fos_yielding": 1.7106051075685584, + "deflection": 7630110980361.218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_41": { + "node_id": "node_41", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 242.53 kg\n Factor of Safety: 0.23\n Max Deflection: 1.42e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.5302213849151, + "fos_buckling": 0.2308848338756099, + "fos_yielding": 1.1753575413383959, + "deflection": 14198646675933.844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_40", + "improvement_over_parent": null + }, + "node_42": { + "node_id": "node_42", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 278.91 kg\n Factor of Safety: 1.09\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.91261884039426, + "fos_buckling": 1.0916113606634092, + "fos_yielding": 2.1924590090207268, + "deflection": 0.006082460963172148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_41", + "improvement_over_parent": null + }, + "node_43": { + "node_id": "node_43", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 296.03 kg\n Factor of Safety: 1.29\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.0305740719687, + "fos_buckling": 1.2885493655749662, + "fos_yielding": 2.1900106885938087, + "deflection": 0.005246466135519711, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_42", + "improvement_over_parent": null + }, + "node_44": { + "node_id": "node_44", + "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0076)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 307.10 kg\n Factor of Safety: 1.30\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 307.0992789743348, + "fos_buckling": 1.3028966762435663, + "fos_yielding": 2.2159930016182603, + "deflection": 0.005166343481962695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.497)" + }, + "parent_node_id": "node_43", + "improvement_over_parent": null + }, + "node_45": { + "node_id": "node_45", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_44", + "improvement_over_parent": null + }, + "node_46": { + "node_id": "node_46", + "content": "INITIAL DESIGN (Trace 7)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0009)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0019)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0016)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0020)]\n\nPerformance:\n Mass: 105.09 kg\n Factor of Safety: 0.03\n Max Deflection: 7.30e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.08529253315704, + "fos_buckling": 0.031933896586700386, + "fos_yielding": 0.14860709519394186, + "deflection": 73043596501775.36, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_47": { + "node_id": "node_47", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 129.16 kg\n Factor of Safety: 0.44\n Max Deflection: 6.29e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.1628611995821, + "fos_buckling": 0.438541469820084, + "fos_yielding": 1.2255304416771562, + "deflection": 6285365045843.202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_46", + "improvement_over_parent": null + }, + "node_48": { + "node_id": "node_48", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n\nPerformance:\n Mass: 139.38 kg\n Factor of Safety: 0.25\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.37690166761652, + "fos_buckling": 0.2462067636634366, + "fos_yielding": 0.7233747077423015, + "deflection": 0.02105342746269648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002151)" + }, + "parent_node_id": "node_47", + "improvement_over_parent": null + }, + "node_49": { + "node_id": "node_49", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n\nPerformance:\n Mass: 162.71 kg\n Factor of Safety: 0.28\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.7055676764289, + "fos_buckling": 0.28295013572717453, + "fos_yielding": 0.8426014209426628, + "deflection": 0.018073360009540226, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_48", + "improvement_over_parent": null + }, + "node_50": { + "node_id": "node_50", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n\nPerformance:\n Mass: 193.02 kg\n Factor of Safety: 0.33\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.01668048789077, + "fos_buckling": 0.32880389548209804, + "fos_yielding": 0.9967352827835705, + "deflection": 0.015277380182788446, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_49", + "improvement_over_parent": null + }, + "node_51": { + "node_id": "node_51", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 225.49 kg\n Factor of Safety: 0.38\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.48937583763663, + "fos_buckling": 0.3755755023419786, + "fos_yielding": 1.1608928254991444, + "deflection": 0.01311602161966781, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_50", + "improvement_over_parent": null + }, + "node_52": { + "node_id": "node_52", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 277.44 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.4429505549962, + "fos_buckling": 0.44538623754941825, + "fos_yielding": 1.4214704991336855, + "deflection": 0.01071030168919379, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_51", + "improvement_over_parent": null + }, + "node_53": { + "node_id": "node_53", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5307428377723, + "fos_buckling": 1.5145262167714038, + "fos_yielding": 2.1877532761347354, + "deflection": 0.00515300656055836, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_52", + "improvement_over_parent": null + }, + "node_54": { + "node_id": "node_54", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_53", + "improvement_over_parent": null + }, + "node_55": { + "node_id": "node_55", + "content": "INITIAL DESIGN (Trace 8)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 211.26 kg\n Factor of Safety: 0.88\n Max Deflection: 7.83e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.2615635983333, + "fos_buckling": 0.8764951251355076, + "fos_yielding": 1.694682160117405, + "deflection": 0.007828307803530464, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_56": { + "node_id": "node_56", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 275.42 kg\n Factor of Safety: 1.09\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.4245855170548, + "fos_buckling": 1.0912313761675103, + "fos_yielding": 2.2053368157742743, + "deflection": 0.006036643086023183, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_55", + "improvement_over_parent": null + }, + "node_57": { + "node_id": "node_57", + "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 279.02 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.016213514126, + "fos_buckling": 1.0910860005959473, + "fos_yielding": 2.1892710413991927, + "deflection": 0.006003130502072907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.433)" + }, + "parent_node_id": "node_56", + "improvement_over_parent": null + }, + "node_58": { + "node_id": "node_58", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3573415195029, + "fos_buckling": 1.5138335502893134, + "fos_yielding": 2.1864443016779354, + "deflection": 0.0051557671684015335, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_57", + "improvement_over_parent": null + }, + "node_59": { + "node_id": "node_59", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_58", + "improvement_over_parent": null + }, + "node_60": { + "node_id": "node_60", + "content": "INITIAL DESIGN (Trace 9)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 180.65 kg\n Factor of Safety: 0.79\n Max Deflection: 9.25e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.64984218816022, + "fos_buckling": 0.7858946554564449, + "fos_yielding": 1.1675113691061607, + "deflection": 0.009254105591609692, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_61": { + "node_id": "node_61", + "content": "MODIFICATION: Increase 10 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 185.80 kg\n Factor of Safety: 0.79\n Max Deflection: 9.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.80474026140672, + "fos_buckling": 0.7855957328220928, + "fos_yielding": 1.142216106703365, + "deflection": 0.009084486561963857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.479)" + }, + "parent_node_id": "node_60", + "improvement_over_parent": null + }, + "node_62": { + "node_id": "node_62", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 232.28 kg\n Factor of Safety: 0.95\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.27677365618715, + "fos_buckling": 0.9468345314623221, + "fos_yielding": 1.4326689035833349, + "deflection": 0.007288422276787253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_61", + "improvement_over_parent": null + }, + "node_63": { + "node_id": "node_63", + "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 238.91 kg\n Factor of Safety: 0.95\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.9059791643676, + "fos_buckling": 0.9463745746572994, + "fos_yielding": 1.4789232845344642, + "deflection": 0.006944529845071428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.473)" + }, + "parent_node_id": "node_62", + "improvement_over_parent": null + }, + "node_64": { + "node_id": "node_64", + "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 244.72 kg\n Factor of Safety: 0.95\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.71708078648643, + "fos_buckling": 0.9451671228410929, + "fos_yielding": 1.4812292394216897, + "deflection": 0.006646455273801106, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.383)" + }, + "parent_node_id": "node_63", + "improvement_over_parent": null + }, + "node_65": { + "node_id": "node_65", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n\nPerformance:\n Mass: 255.51 kg\n Factor of Safety: 1.05\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.5094079826567, + "fos_buckling": 1.048553730768541, + "fos_yielding": 1.4794304483874532, + "deflection": 0.00615009935311815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003187)" + }, + "parent_node_id": "node_64", + "improvement_over_parent": null + }, + "node_66": { + "node_id": "node_66", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 300.44 kg\n Factor of Safety: 1.22\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.43822397547933, + "fos_buckling": 1.2150191608674594, + "fos_yielding": 1.7452855633876867, + "deflection": 0.005247357835085297, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_65", + "improvement_over_parent": null + }, + "node_67": { + "node_id": "node_67", + "content": "MODIFICATION: Increase 6 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0050)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 302.83 kg\n Factor of Safety: 1.21\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.83145140339013, + "fos_buckling": 1.2065271501728871, + "fos_yielding": 1.7330874152870515, + "deflection": 0.0051952451590392855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.497)" + }, + "parent_node_id": "node_66", + "improvement_over_parent": null + }, + "node_68": { + "node_id": "node_68", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_67", + "improvement_over_parent": null + }, + "node_69": { + "node_id": "node_69", + "content": "INITIAL DESIGN (Trace 10)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 196.35 kg\n Factor of Safety: 0.33\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.35162043136853, + "fos_buckling": 0.32650492968743067, + "fos_yielding": 1.4375644736924216, + "deflection": 0.01060944858764037, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_70": { + "node_id": "node_70", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 216.36 kg\n Factor of Safety: 0.88\n Max Deflection: 7.77e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.35832891092863, + "fos_buckling": 0.8846983785062901, + "fos_yielding": 1.7225667912374087, + "deflection": 0.00777385615088798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003832)" + }, + "parent_node_id": "node_69", + "improvement_over_parent": null + }, + "node_71": { + "node_id": "node_71", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 242.39 kg\n Factor of Safety: 0.97\n Max Deflection: 6.95e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.38602568223547, + "fos_buckling": 0.9730457174887809, + "fos_yielding": 1.9281865610201656, + "deflection": 0.006954646303417974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_70", + "improvement_over_parent": null + }, + "node_72": { + "node_id": "node_72", + "content": "MODIFICATION: Increase 13 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 245.78 kg\n Factor of Safety: 0.97\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.78094140375768, + "fos_buckling": 0.9729229015568811, + "fos_yielding": 1.9174920052882647, + "deflection": 0.006926180204695786, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.299)" + }, + "parent_node_id": "node_71", + "improvement_over_parent": null + }, + "node_73": { + "node_id": "node_73", + "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 248.78 kg\n Factor of Safety: 0.97\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.77927871385546, + "fos_buckling": 0.9728144581955946, + "fos_yielding": 1.9043249569216583, + "deflection": 0.006889573518714855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.404)" + }, + "parent_node_id": "node_72", + "improvement_over_parent": null + }, + "node_74": { + "node_id": "node_74", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 263.65 kg\n Factor of Safety: 1.35\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.64907186552693, + "fos_buckling": 1.350081882617736, + "fos_yielding": 1.9019993629910026, + "deflection": 0.005914369093864686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003787)" + }, + "parent_node_id": "node_73", + "improvement_over_parent": null + }, + "node_75": { + "node_id": "node_75", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.72 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.72247258071553, + "fos_buckling": 1.515240587786984, + "fos_yielding": 2.1890941910945543, + "deflection": 0.005149695121684202, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_74", + "improvement_over_parent": null + }, + "node_76": { + "node_id": "node_76", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_75", + "improvement_over_parent": null + }, + "node_77": { + "node_id": "node_77", + "content": "INITIAL DESIGN (Trace 11)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n\nPerformance:\n Mass: 202.08 kg\n Factor of Safety: 0.04\n Max Deflection: 1.57e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.08156184020766, + "fos_buckling": 0.0377262576221892, + "fos_yielding": 0.12858354769704936, + "deflection": 157184022845917.34, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_78": { + "node_id": "node_78", + "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n\nPerformance:\n Mass: 204.91 kg\n Factor of Safety: 0.08\n Max Deflection: 7.48e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.9104634519225, + "fos_buckling": 0.07884760454318188, + "fos_yielding": 0.34510927076173314, + "deflection": 74770020094366.5, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.536)" + }, + "parent_node_id": "node_77", + "improvement_over_parent": null + }, + "node_79": { + "node_id": "node_79", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 228.35 kg\n Factor of Safety: 0.06\n Max Deflection: 2.75e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.34620497635728, + "fos_buckling": 0.05877226929114785, + "fos_yielding": 0.2972141903878837, + "deflection": 27546507221808.367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004849)" + }, + "parent_node_id": "node_78", + "improvement_over_parent": null + }, + "node_80": { + "node_id": "node_80", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n\nPerformance:\n Mass: 239.75 kg\n Factor of Safety: 0.49\n Max Deflection: 8.43e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.7462516606671, + "fos_buckling": 0.4893369377963882, + "fos_yielding": 1.6622316922700502, + "deflection": 0.008429163403431528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003382)" + }, + "parent_node_id": "node_79", + "improvement_over_parent": null + }, + "node_81": { + "node_id": "node_81", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 266.84 kg\n Factor of Safety: 0.53\n Max Deflection: 7.59e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.8431360853318, + "fos_buckling": 0.5328440900067624, + "fos_yielding": 1.8478895089408334, + "deflection": 0.007588345917053675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_80", + "improvement_over_parent": null + }, + "node_82": { + "node_id": "node_82", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 292.63 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.6337636277458, + "fos_buckling": 0.8899753454448157, + "fos_yielding": 2.1591679211067074, + "deflection": 0.006517925199228233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_81", + "improvement_over_parent": null + }, + "node_83": { + "node_id": "node_83", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 298.21 kg\n Factor of Safety: 1.48\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.207963292722, + "fos_buckling": 1.4828173745765378, + "fos_yielding": 2.1843451080636087, + "deflection": 0.005194794805261526, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_82", + "improvement_over_parent": null + }, + "node_84": { + "node_id": "node_84", + "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0075)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 306.74 kg\n Factor of Safety: 1.51\n Max Deflection: 5.03e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 306.7440054613611, + "fos_buckling": 1.513000732445897, + "fos_yielding": 2.186691162616025, + "deflection": 0.005028525294822405, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.374)" + }, + "parent_node_id": "node_83", + "improvement_over_parent": null + }, + "node_85": { + "node_id": "node_85", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_84", + "improvement_over_parent": null + }, + "node_86": { + "node_id": "node_86", + "content": "INITIAL DESIGN (Trace 12)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 227.29 kg\n Factor of Safety: 0.58\n Max Deflection: 9.16e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.29397181944572, + "fos_buckling": 0.5780474464080764, + "fos_yielding": 1.5629492908763498, + "deflection": 0.0091637583105589, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_87": { + "node_id": "node_87", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 284.18 kg\n Factor of Safety: 0.69\n Max Deflection: 7.35e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 284.1827119486207, + "fos_buckling": 0.6945090425098822, + "fos_yielding": 1.9507836713944555, + "deflection": 0.007354423624873729, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_86", + "improvement_over_parent": null + }, + "node_88": { + "node_id": "node_88", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 286.99 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.9869679277612, + "fos_buckling": 0.8913029916778143, + "fos_yielding": 2.158789410672263, + "deflection": 0.006517958092549065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_87", + "improvement_over_parent": null + }, + "node_89": { + "node_id": "node_89", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 292.56 kg\n Factor of Safety: 1.43\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.56116759273743, + "fos_buckling": 1.4346796850909684, + "fos_yielding": 2.182563747596952, + "deflection": 0.005265261177701876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_88", + "improvement_over_parent": null + }, + "node_90": { + "node_id": "node_90", + "content": "MODIFICATION: Increase 3 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 295.96 kg\n Factor of Safety: 1.43\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.9599448280768, + "fos_buckling": 1.43020202105003, + "fos_yielding": 2.182387876194332, + "deflection": 0.005218672214409632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.272)" + }, + "parent_node_id": "node_89", + "improvement_over_parent": null + }, + "node_91": { + "node_id": "node_91", + "content": "MODIFICATION: Increase 12 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0068)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 305.46 kg\n Factor of Safety: 1.42\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.4611094185606, + "fos_buckling": 1.4221626178470772, + "fos_yielding": 2.1602088874471037, + "deflection": 0.005172730366813653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.618)" + }, + "parent_node_id": "node_90", + "improvement_over_parent": null + }, + "node_92": { + "node_id": "node_92", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_91", + "improvement_over_parent": null + }, + "node_93": { + "node_id": "node_93", + "content": "INITIAL DESIGN (Trace 13)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 162.07 kg\n Factor of Safety: 0.44\n Max Deflection: 1.13e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.06611735615843, + "fos_buckling": 0.4410928534831954, + "fos_yielding": 1.2320545005999037, + "deflection": 11314523593664.342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_94": { + "node_id": "node_94", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 206.87 kg\n Factor of Safety: 0.16\n Max Deflection: 2.43e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.86780856310943, + "fos_buckling": 0.16403651291561164, + "fos_yielding": 1.0432259266870776, + "deflection": 24327856847048.387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_93", + "improvement_over_parent": null + }, + "node_95": { + "node_id": "node_95", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 218.14 kg\n Factor of Safety: 1.13\n Max Deflection: 5.95e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.14368953641883, + "fos_buckling": 1.132495621025951, + "fos_yielding": 1.5132500626938041, + "deflection": 5947315711638.512, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003342)" + }, + "parent_node_id": "node_94", + "improvement_over_parent": null + }, + "node_96": { + "node_id": "node_96", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 220.64 kg\n Factor of Safety: 1.45\n Max Deflection: 4.41e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.63512394584262, + "fos_buckling": 1.4513878484531473, + "fos_yielding": 1.188856761551535, + "deflection": 4410968043339.139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002073)" + }, + "parent_node_id": "node_95", + "improvement_over_parent": null + }, + "node_97": { + "node_id": "node_97", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 248.42 kg\n Factor of Safety: 0.53\n Max Deflection: 3.36e+12 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.41745212234787, + "fos_buckling": 0.5338178041733878, + "fos_yielding": 2.1943982418026446, + "deflection": 3355262116043.256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_96", + "improvement_over_parent": null + }, + "node_98": { + "node_id": "node_98", + "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 256.99 kg\n Factor of Safety: 0.01\n Max Deflection: 1.62e+14 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.99464581266375, + "fos_buckling": 0.014428582188555234, + "fos_yielding": 0.07430354759697094, + "deflection": 161957587174015.97, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.504)" + }, + "parent_node_id": "node_97", + "improvement_over_parent": null + }, + "node_99": { + "node_id": "node_99", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 283.08 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.0824380954399, + "fos_buckling": 0.9056657102681268, + "fos_yielding": 2.16084032152967, + "deflection": 0.005599525337054977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_98", + "improvement_over_parent": null + }, + "node_100": { + "node_id": "node_100", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3957729774667, + "fos_buckling": 1.513938139160265, + "fos_yielding": 2.1866926081346008, + "deflection": 0.005155017772207656, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_99", + "improvement_over_parent": null + }, + "node_101": { + "node_id": "node_101", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_100", + "improvement_over_parent": null + }, + "node_102": { + "node_id": "node_102", + "content": "INITIAL DESIGN (Trace 14)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 182.56 kg\n Factor of Safety: 0.80\n Max Deflection: 9.29e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.55827527378975, + "fos_buckling": 0.8027873931925575, + "fos_yielding": 1.2344729205936376, + "deflection": 0.009293531356939992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_103": { + "node_id": "node_103", + "content": "MODIFICATION: Increase 11 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 185.78 kg\n Factor of Safety: 0.80\n Max Deflection: 9.21e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.7824491288431, + "fos_buckling": 0.8024973935479915, + "fos_yielding": 1.2362067939073744, + "deflection": 0.009209857437776359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.403)" + }, + "parent_node_id": "node_102", + "improvement_over_parent": null + }, + "node_104": { + "node_id": "node_104", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 207.86 kg\n Factor of Safety: 0.88\n Max Deflection: 8.24e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.8551487713147, + "fos_buckling": 0.883588589126007, + "fos_yielding": 1.3841037449807965, + "deflection": 0.008244114149016811, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_103", + "improvement_over_parent": null + }, + "node_105": { + "node_id": "node_105", + "content": "MODIFICATION: Increase 9 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 209.41 kg\n Factor of Safety: 0.88\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.40584079438383, + "fos_buckling": 0.8835885891260075, + "fos_yielding": 1.6952194066121704, + "deflection": 0.008199946647418384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.250)" + }, + "parent_node_id": "node_104", + "improvement_over_parent": null + }, + "node_106": { + "node_id": "node_106", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 270.44 kg\n Factor of Safety: 1.09\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.4410761892871, + "fos_buckling": 1.0910920077098674, + "fos_yielding": 2.184775596017521, + "deflection": 0.00637495267070456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_105", + "improvement_over_parent": null + }, + "node_107": { + "node_id": "node_107", + "content": "MODIFICATION: Increase 11 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 273.88 kg\n Factor of Safety: 1.09\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.8826716932212, + "fos_buckling": 1.0906739941334957, + "fos_yielding": 2.1863038157751356, + "deflection": 0.006345885010724324, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.224)" + }, + "parent_node_id": "node_106", + "improvement_over_parent": null + }, + "node_108": { + "node_id": "node_108", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 298.22 kg\n Factor of Safety: 1.57\n Max Deflection: 5.32e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 298.2237996985981, + "fos_buckling": 1.5697407611101528, + "fos_yielding": 2.1832588688735455, + "deflection": 0.005315326377512056, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_107", + "improvement_over_parent": null + }, + "node_109": { + "node_id": "node_109", + "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.10 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.0951867089795, + "fos_buckling": 1.5130310418717317, + "fos_yielding": 2.1833967754064934, + "deflection": 0.005160651705259366, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.259)" + }, + "parent_node_id": "node_108", + "improvement_over_parent": null + }, + "node_110": { + "node_id": "node_110", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_109", + "improvement_over_parent": null + }, + "node_111": { + "node_id": "node_111", + "content": "INITIAL DESIGN (Trace 15)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 244.47 kg\n Factor of Safety: 0.99\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.47452945424493, + "fos_buckling": 0.9868126009855523, + "fos_yielding": 2.1430926083979283, + "deflection": 0.006644880445229477, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_112": { + "node_id": "node_112", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 260.60 kg\n Factor of Safety: 1.19\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.6011265247798, + "fos_buckling": 1.1917257279535935, + "fos_yielding": 1.9540683503070087, + "deflection": 0.006156863511669477, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003736)" + }, + "parent_node_id": "node_111", + "improvement_over_parent": null + }, + "node_113": { + "node_id": "node_113", + "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 266.30 kg\n Factor of Safety: 1.24\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.29730613409447, + "fos_buckling": 1.2393978943528754, + "fos_yielding": 1.9571917075573817, + "deflection": 0.0059167134681998275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.350)" + }, + "parent_node_id": "node_112", + "improvement_over_parent": null + }, + "node_114": { + "node_id": "node_114", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 297.86 kg\n Factor of Safety: 1.36\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.8577967173477, + "fos_buckling": 1.3635140612166181, + "fos_yielding": 2.1871429014010757, + "deflection": 0.005301734109836313, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_113", + "improvement_over_parent": null + }, + "node_115": { + "node_id": "node_115", + "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4597465432502, + "fos_buckling": 1.5137048031783205, + "fos_yielding": 2.187254602481444, + "deflection": 0.005153909679866742, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.200)" + }, + "parent_node_id": "node_114", + "improvement_over_parent": null + }, + "node_116": { + "node_id": "node_116", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_115", + "improvement_over_parent": null + }, + "node_117": { + "node_id": "node_117", + "content": "INITIAL DESIGN (Trace 16)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 202.96 kg\n Factor of Safety: 0.71\n Max Deflection: 7.87e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.96486819483926, + "fos_buckling": 0.7093968474225881, + "fos_yielding": 1.313066348084974, + "deflection": 0.007866603311149389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_118": { + "node_id": "node_118", + "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 204.51 kg\n Factor of Safety: 0.71\n Max Deflection: 7.81e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.51164164973176, + "fos_buckling": 0.7093968474225884, + "fos_yielding": 1.6197343406807723, + "deflection": 0.007813171927553323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.259)" + }, + "parent_node_id": "node_117", + "improvement_over_parent": null + }, + "node_119": { + "node_id": "node_119", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n\nPerformance:\n Mass: 219.71 kg\n Factor of Safety: 0.97\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.71129052838475, + "fos_buckling": 0.9651586899550538, + "fos_yielding": 1.6389772504728584, + "deflection": 0.0072347553468629835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003272)" + }, + "parent_node_id": "node_118", + "improvement_over_parent": null + }, + "node_120": { + "node_id": "node_120", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n\nPerformance:\n Mass: 265.33 kg\n Factor of Safety: 1.14\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.32645581282674, + "fos_buckling": 1.142955154683784, + "fos_yielding": 1.976378969474331, + "deflection": 0.00600919678149613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_119", + "improvement_over_parent": null + }, + "node_121": { + "node_id": "node_121", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 293.65 kg\n Factor of Safety: 1.25\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.65169924396764, + "fos_buckling": 1.2494468193346329, + "fos_yielding": 2.185372545205425, + "deflection": 0.0054397315775276105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_120", + "improvement_over_parent": null + }, + "node_122": { + "node_id": "node_122", + "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.28 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.28353149267144, + "fos_buckling": 1.5141376212605866, + "fos_yielding": 2.1856050622256964, + "deflection": 0.005156728290850771, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.395)" + }, + "parent_node_id": "node_121", + "improvement_over_parent": null + }, + "node_123": { + "node_id": "node_123", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_122", + "improvement_over_parent": null + }, + "node_124": { + "node_id": "node_124", + "content": "INITIAL DESIGN (Trace 17)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 157.88 kg\n Factor of Safety: 0.37\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.88170516874882, + "fos_buckling": 0.366197751693698, + "fos_yielding": 0.9497087488320993, + "deflection": 0.015371322106834529, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_125": { + "node_id": "node_125", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n\nPerformance:\n Mass: 172.07 kg\n Factor of Safety: 0.37\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.0729050610525, + "fos_buckling": 0.3656151152951066, + "fos_yielding": 0.9201555402186581, + "deflection": 0.014839952652621372, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003041)" + }, + "parent_node_id": "node_124", + "improvement_over_parent": null + }, + "node_126": { + "node_id": "node_126", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 201.66 kg\n Factor of Safety: 0.42\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.66254858932405, + "fos_buckling": 0.4187080722643963, + "fos_yielding": 1.0811514861867908, + "deflection": 0.012684603517104365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_125", + "improvement_over_parent": null + }, + "node_127": { + "node_id": "node_127", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 246.51 kg\n Factor of Safety: 0.49\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.5055695030008, + "fos_buckling": 0.4938062667827207, + "fos_yielding": 1.3270956125153663, + "deflection": 0.010404081455255018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_126", + "improvement_over_parent": null + }, + "node_128": { + "node_id": "node_128", + "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 248.11 kg\n Factor of Safety: 0.49\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.11019798661226, + "fos_buckling": 0.49368851161026694, + "fos_yielding": 1.67770650652146, + "deflection": 0.010000236547063031, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.443)" + }, + "parent_node_id": "node_127", + "improvement_over_parent": null + }, + "node_129": { + "node_id": "node_129", + "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 249.16 kg\n Factor of Safety: 0.49\n Max Deflection: 9.92e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.1627151867181, + "fos_buckling": 0.49364990451190893, + "fos_yielding": 1.677647204692276, + "deflection": 0.009923695505785438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.658)" + }, + "parent_node_id": "node_128", + "improvement_over_parent": null + }, + "node_130": { + "node_id": "node_130", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 267.19 kg\n Factor of Safety: 0.49\n Max Deflection: 9.48e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.1944818719478, + "fos_buckling": 0.4933194425666584, + "fos_yielding": 1.6771393957512986, + "deflection": 0.009480535161494956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_129", + "improvement_over_parent": null + }, + "node_131": { + "node_id": "node_131", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.58 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5768793274269, + "fos_buckling": 1.5142791817202481, + "fos_yielding": 2.1883779652852695, + "deflection": 0.005152039867838618, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_130", + "improvement_over_parent": null + }, + "node_132": { + "node_id": "node_132", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_131", + "improvement_over_parent": null + }, + "node_133": { + "node_id": "node_133", + "content": "INITIAL DESIGN (Trace 18)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 179.56 kg\n Factor of Safety: 0.82\n Max Deflection: 9.77e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.56416669508982, + "fos_buckling": 0.8237470857636534, + "fos_yielding": 1.7185641093511796, + "deflection": 0.009770925154876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_134": { + "node_id": "node_134", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n\nPerformance:\n Mass: 191.84 kg\n Factor of Safety: 0.82\n Max Deflection: 8.76e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.84285661471117, + "fos_buckling": 0.8230001751737079, + "fos_yielding": 1.7185641093511796, + "deflection": 0.00876091717101602, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003083)" + }, + "parent_node_id": "node_133", + "improvement_over_parent": null + }, + "node_135": { + "node_id": "node_135", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 235.06 kg\n Factor of Safety: 0.97\n Max Deflection: 7.17e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.05618521999656, + "fos_buckling": 0.9749609946391882, + "fos_yielding": 2.1050476244581278, + "deflection": 0.007172070839850874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_134", + "improvement_over_parent": null + }, + "node_136": { + "node_id": "node_136", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 246.20 kg\n Factor of Safety: 1.02\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.20453135757094, + "fos_buckling": 1.018307809742816, + "fos_yielding": 1.9566907634532227, + "deflection": 0.006842527937206334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003301)" + }, + "parent_node_id": "node_135", + "improvement_over_parent": null + }, + "node_137": { + "node_id": "node_137", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n Mass: 266.61 kg\n Factor of Safety: 1.36\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.61020622947586, + "fos_buckling": 1.3627201816916374, + "fos_yielding": 1.9233032582358474, + "deflection": 0.0058498972270600936, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004159)" + }, + "parent_node_id": "node_136", + "improvement_over_parent": null + }, + "node_138": { + "node_id": "node_138", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.493448213369, + "fos_buckling": 1.514411905363146, + "fos_yielding": 2.187535810047202, + "deflection": 0.005153402503117353, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_137", + "improvement_over_parent": null + }, + "node_139": { + "node_id": "node_139", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_138", + "improvement_over_parent": null + }, + "node_140": { + "node_id": "node_140", + "content": "INITIAL DESIGN (Trace 19)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 200.50 kg\n Factor of Safety: 0.63\n Max Deflection: 9.63e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.5048074177151, + "fos_buckling": 0.6336891071916165, + "fos_yielding": 1.4567473770617398, + "deflection": 0.00962991297537621, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_141": { + "node_id": "node_141", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 238.94 kg\n Factor of Safety: 0.74\n Max Deflection: 8.10e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.9441059182803, + "fos_buckling": 0.7387331630099172, + "fos_yielding": 1.7345253482687644, + "deflection": 0.008098298581687171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_140", + "improvement_over_parent": null + }, + "node_142": { + "node_id": "node_142", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.92 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.92135141239123, + "fos_buckling": 0.889600075919937, + "fos_yielding": 2.1597875491336946, + "deflection": 0.00651675329765326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_141", + "improvement_over_parent": null + }, + "node_143": { + "node_id": "node_143", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.49555107736745, + "fos_buckling": 1.5143786137836284, + "fos_yielding": 2.1875221010759245, + "deflection": 0.005153427554225268, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_142", + "improvement_over_parent": null + }, + "node_144": { + "node_id": "node_144", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_143", + "improvement_over_parent": null + }, + "node_145": { + "node_id": "node_145", + "content": "INITIAL DESIGN (Trace 20)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 151.07 kg\n Factor of Safety: 0.35\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.071649094443, + "fos_buckling": 0.34864394809454385, + "fos_yielding": 1.1124936364505853, + "deflection": 0.015477562966779315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_146": { + "node_id": "node_146", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 190.87 kg\n Factor of Safety: 0.43\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.87420581861278, + "fos_buckling": 0.4262273854276434, + "fos_yielding": 1.4031239246298053, + "deflection": 0.012285757661288034, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_145", + "improvement_over_parent": null + }, + "node_147": { + "node_id": "node_147", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n\nPerformance:\n Mass: 221.24 kg\n Factor of Safety: 0.78\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.24331327470443, + "fos_buckling": 0.7779665424695816, + "fos_yielding": 1.8285407158002536, + "deflection": 0.0073347587439785734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004925)" + }, + "parent_node_id": "node_146", + "improvement_over_parent": null + }, + "node_148": { + "node_id": "node_148", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 265.16 kg\n Factor of Safety: 0.90\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.15819666012834, + "fos_buckling": 0.9047459577112643, + "fos_yielding": 2.184306998102726, + "deflection": 0.006140867221630917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_147", + "improvement_over_parent": null + }, + "node_149": { + "node_id": "node_149", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 283.19 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.1899633453581, + "fos_buckling": 0.9059782723194113, + "fos_yielding": 2.1617794089682434, + "deflection": 0.00559741384922407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_148", + "improvement_over_parent": null + }, + "node_150": { + "node_id": "node_150", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5032982273849, + "fos_buckling": 1.5145601497666856, + "fos_yielding": 2.1876392939451197, + "deflection": 0.005153108492041674, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_149", + "improvement_over_parent": null + }, + "node_151": { + "node_id": "node_151", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_150", + "improvement_over_parent": null + }, + "node_152": { + "node_id": "node_152", + "content": "INITIAL DESIGN (Trace 21)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 220.13 kg\n Factor of Safety: 0.94\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.13278279079483, + "fos_buckling": 0.9406423056866543, + "fos_yielding": 2.0209152406039883, + "deflection": 0.007577097637693613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_153": { + "node_id": "node_153", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 261.22 kg\n Factor of Safety: 1.08\n Max Deflection: 6.41e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.21679611747413, + "fos_buckling": 1.0790934045428529, + "fos_yielding": 2.3975160503086443, + "deflection": 0.006408639449722342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_152", + "improvement_over_parent": null + }, + "node_154": { + "node_id": "node_154", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 279.25 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.2485628027039, + "fos_buckling": 1.0918657013872628, + "fos_yielding": 2.191268503833731, + "deflection": 0.005998002193210662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_153", + "improvement_over_parent": null + }, + "node_155": { + "node_id": "node_155", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.59 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5896908080808, + "fos_buckling": 1.5147637028976897, + "fos_yielding": 2.188440493998151, + "deflection": 0.005151601989668819, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_154", + "improvement_over_parent": null + }, + "node_156": { + "node_id": "node_156", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_155", + "improvement_over_parent": null + }, + "node_157": { + "node_id": "node_157", + "content": "INITIAL DESIGN (Trace 22)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_158": { + "node_id": "node_158", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 185.50 kg\n Factor of Safety: 0.47\n Max Deflection: 7.79e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.5016004469034, + "fos_buckling": 0.4700052372183955, + "fos_yielding": 1.1826114687892344, + "deflection": 7787178448469.26, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004313)" + }, + "parent_node_id": "node_157", + "improvement_over_parent": null + }, + "node_159": { + "node_id": "node_159", + "content": "MODIFICATION: Increase 3 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 191.05 kg\n Factor of Safety: 0.64\n Max Deflection: 1.81e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.0545777428271, + "fos_buckling": 0.6419798175958382, + "fos_yielding": 1.0353278122851992, + "deflection": 18083283732982.723, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.647)" + }, + "parent_node_id": "node_158", + "improvement_over_parent": null + }, + "node_160": { + "node_id": "node_160", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n\nPerformance:\n Mass: 193.48 kg\n Factor of Safety: 0.06\n Max Deflection: 3.75e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.48165879330608, + "fos_buckling": 0.05947524590407222, + "fos_yielding": 0.25883195307129986, + "deflection": 37471199972126.92, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002015)" + }, + "parent_node_id": "node_159", + "improvement_over_parent": null + }, + "node_161": { + "node_id": "node_161", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n\nPerformance:\n Mass: 211.07 kg\n Factor of Safety: 0.44\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.06831103461928, + "fos_buckling": 0.4394662527140918, + "fos_yielding": 1.2736944188545603, + "deflection": 0.01228470648157218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003828)" + }, + "parent_node_id": "node_160", + "improvement_over_parent": null + }, + "node_162": { + "node_id": "node_162", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n\nPerformance:\n Mass: 242.56 kg\n Factor of Safety: 1.01\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.55934587611233, + "fos_buckling": 1.0054255063212436, + "fos_yielding": 1.9278375916445725, + "deflection": 0.006943872508266453, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005122)" + }, + "parent_node_id": "node_161", + "improvement_over_parent": null + }, + "node_163": { + "node_id": "node_163", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 262.67 kg\n Factor of Safety: 1.35\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.66605327079253, + "fos_buckling": 1.345874626943973, + "fos_yielding": 1.8949469886352348, + "deflection": 0.005936083117692579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004093)" + }, + "parent_node_id": "node_162", + "improvement_over_parent": null + }, + "node_164": { + "node_id": "node_164", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.55006366828604, + "fos_buckling": 1.514526977423544, + "fos_yielding": 2.187856958554387, + "deflection": 0.005152573548401149, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_163", + "improvement_over_parent": null + }, + "node_165": { + "node_id": "node_165", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_164", + "improvement_over_parent": null + }, + "node_166": { + "node_id": "node_166", + "content": "INITIAL DESIGN (Trace 23)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 175.84 kg\n Factor of Safety: 0.36\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.84249906823067, + "fos_buckling": 0.3577917021091684, + "fos_yielding": 1.1469531015687038, + "deflection": 0.013999495109667595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_167": { + "node_id": "node_167", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n\nPerformance:\n Mass: 200.64 kg\n Factor of Safety: 0.98\n Max Deflection: 7.66e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.64215356125376, + "fos_buckling": 0.9775344576305343, + "fos_yielding": 1.4820430567183556, + "deflection": 0.0076568663891465934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003965)" + }, + "parent_node_id": "node_166", + "improvement_over_parent": null + }, + "node_168": { + "node_id": "node_168", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n\nPerformance:\n Mass: 257.13 kg\n Factor of Safety: 1.22\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.12592902044537, + "fos_buckling": 1.2155886170538226, + "fos_yielding": 1.8960608615063073, + "deflection": 0.006001327691712233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_167", + "improvement_over_parent": null + }, + "node_169": { + "node_id": "node_169", + "content": "MODIFICATION: Increase 15 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0066)]\n\nPerformance:\n Mass: 265.05 kg\n Factor of Safety: 1.21\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.0549169719758, + "fos_buckling": 1.2142690073421565, + "fos_yielding": 1.8961264107775844, + "deflection": 0.005801687362535116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.277)" + }, + "parent_node_id": "node_168", + "improvement_over_parent": null + }, + "node_170": { + "node_id": "node_170", + "content": "MODIFICATION: Increase 13 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0044)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0066)]\n\nPerformance:\n Mass: 267.98 kg\n Factor of Safety: 1.24\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.98146769455263, + "fos_buckling": 1.2431591460677338, + "fos_yielding": 1.8879272988299958, + "deflection": 0.005776228932787791, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.205)" + }, + "parent_node_id": "node_169", + "improvement_over_parent": null + }, + "node_171": { + "node_id": "node_171", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0051)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0077)]\n\nPerformance:\n Mass: 306.88 kg\n Factor of Safety: 1.40\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 306.87662461133283, + "fos_buckling": 1.3953206346661595, + "fos_yielding": 2.1611865540220183, + "deflection": 0.0050586563352469005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_170", + "improvement_over_parent": null + }, + "node_172": { + "node_id": "node_172", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_171", + "improvement_over_parent": null + }, + "node_173": { + "node_id": "node_173", + "content": "INITIAL DESIGN (Trace 24)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 197.82 kg\n Factor of Safety: 0.12\n Max Deflection: 5.95e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.81708886394324, + "fos_buckling": 0.12025527309317142, + "fos_yielding": 0.5944283807757674, + "deflection": 59533074356436.95, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_174": { + "node_id": "node_174", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n\nPerformance:\n Mass: 210.97 kg\n Factor of Safety: 0.59\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.96950074296421, + "fos_buckling": 0.5916775297397493, + "fos_yielding": 1.706506805186284, + "deflection": 0.014943585096158991, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003318)" + }, + "parent_node_id": "node_173", + "improvement_over_parent": null + }, + "node_175": { + "node_id": "node_175", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 215.25 kg\n Factor of Safety: 0.91\n Max Deflection: 7.81e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.25236846072085, + "fos_buckling": 0.9073268803736605, + "fos_yielding": 1.711883574338895, + "deflection": 0.007811242954760502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002499)" + }, + "parent_node_id": "node_174", + "improvement_over_parent": null + }, + "node_176": { + "node_id": "node_176", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n\nPerformance:\n Mass: 224.45 kg\n Factor of Safety: 0.87\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.4547119560178, + "fos_buckling": 0.868387784992777, + "fos_yielding": 1.688675685621247, + "deflection": 0.0068942472594248055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.001796)" + }, + "parent_node_id": "node_175", + "improvement_over_parent": null + }, + "node_177": { + "node_id": "node_177", + "content": "MODIFICATION: Increase 13 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n\nPerformance:\n Mass: 227.90 kg\n Factor of Safety: 0.87\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.90499455750597, + "fos_buckling": 0.8652526382578862, + "fos_yielding": 1.688553514525422, + "deflection": 0.006840740911727581, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.287)" + }, + "parent_node_id": "node_176", + "improvement_over_parent": null + }, + "node_178": { + "node_id": "node_178", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0057)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n\nPerformance:\n Mass: 296.83 kg\n Factor of Safety: 1.11\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.8259885455016, + "fos_buckling": 1.1112082711807072, + "fos_yielding": 2.1957373402433893, + "deflection": 0.005276120705492303, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_177", + "improvement_over_parent": null + }, + "node_179": { + "node_id": "node_179", + "content": "MODIFICATION: Increase 13 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0089)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n\nPerformance:\n Mass: 306.56 kg\n Factor of Safety: 1.11\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 306.5627781649734, + "fos_buckling": 1.1053939508464825, + "fos_yielding": 2.1954332699920354, + "deflection": 0.0052226516283440435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.558)" + }, + "parent_node_id": "node_178", + "improvement_over_parent": null + }, + "node_180": { + "node_id": "node_180", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_179", + "improvement_over_parent": null + }, + "node_181": { + "node_id": "node_181", + "content": "INITIAL DESIGN (Trace 25)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_182": { + "node_id": "node_182", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 209.19 kg\n Factor of Safety: 0.26\n Max Deflection: 2.97e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.191086285011, + "fos_buckling": 0.2607382489614612, + "fos_yielding": 0.6182866131631318, + "deflection": 0.02969274549424172, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003495)" + }, + "parent_node_id": "node_181", + "improvement_over_parent": null + }, + "node_183": { + "node_id": "node_183", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n\nPerformance:\n Mass: 239.78 kg\n Factor of Safety: 0.79\n Max Deflection: 8.39e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.78286813236198, + "fos_buckling": 0.7912211997527931, + "fos_yielding": 1.8549323074632957, + "deflection": 0.008390461810088875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004964)" + }, + "parent_node_id": "node_182", + "improvement_over_parent": null + }, + "node_184": { + "node_id": "node_184", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n\nPerformance:\n Mass: 248.85 kg\n Factor of Safety: 0.77\n Max Deflection: 7.76e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.85095580253804, + "fos_buckling": 0.769950067551568, + "fos_yielding": 1.8246482256941832, + "deflection": 0.007756341621059854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002644)" + }, + "parent_node_id": "node_183", + "improvement_over_parent": null + }, + "node_185": { + "node_id": "node_185", + "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n\nPerformance:\n Mass: 250.24 kg\n Factor of Safety: 0.76\n Max Deflection: 7.75e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.23763424180015, + "fos_buckling": 0.7636446419990118, + "fos_yielding": 1.8242258179316548, + "deflection": 0.007752498393735656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.190)" + }, + "parent_node_id": "node_184", + "improvement_over_parent": null + }, + "node_186": { + "node_id": "node_186", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 254.93 kg\n Factor of Safety: 1.31\n Max Deflection: 6.09e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.9253576374249, + "fos_buckling": 1.3135677430407224, + "fos_yielding": 1.8472841267727833, + "deflection": 0.006089866979580009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002754)" + }, + "parent_node_id": "node_185", + "improvement_over_parent": null + }, + "node_187": { + "node_id": "node_187", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0052)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.20 kg\n Factor of Safety: 1.52\n Max Deflection: 5.14e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.1953833578565, + "fos_buckling": 1.515905818447303, + "fos_yielding": 2.19467413112039, + "deflection": 0.005139447036273074, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_186", + "improvement_over_parent": null + }, + "node_188": { + "node_id": "node_188", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_187", + "improvement_over_parent": null + }, + "node_189": { + "node_id": "node_189", + "content": "INITIAL DESIGN (Trace 26)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 177.68 kg\n Factor of Safety: 0.39\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.67956924555472, + "fos_buckling": 0.38532184982748086, + "fos_yielding": 1.2486586270528097, + "deflection": 0.014408080499460463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_190": { + "node_id": "node_190", + "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 180.56 kg\n Factor of Safety: 0.39\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.5632993111991, + "fos_buckling": 0.3852803545040405, + "fos_yielding": 1.248597967847285, + "deflection": 0.014409971305068032, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.471)" + }, + "parent_node_id": "node_189", + "improvement_over_parent": null + }, + "node_191": { + "node_id": "node_191", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n\nPerformance:\n Mass: 207.57 kg\n Factor of Safety: 0.84\n Max Deflection: 7.56e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.570346427, + "fos_buckling": 0.8449968734207555, + "fos_yielding": 1.7792428568157532, + "deflection": 0.00755910597028744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004342)" + }, + "parent_node_id": "node_190", + "improvement_over_parent": null + }, + "node_192": { + "node_id": "node_192", + "content": "MODIFICATION: Increase 11 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n\nPerformance:\n Mass: 212.15 kg\n Factor of Safety: 0.84\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.1485408591264, + "fos_buckling": 0.8441439483120281, + "fos_yielding": 1.7792428568157532, + "deflection": 0.007505117774474687, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.332)" + }, + "parent_node_id": "node_191", + "improvement_over_parent": null + }, + "node_193": { + "node_id": "node_193", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0053)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 254.72 kg\n Factor of Safety: 0.98\n Max Deflection: 6.27e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.71946176911734, + "fos_buckling": 0.981897142443336, + "fos_yielding": 2.1362966376955357, + "deflection": 0.006272170053260199, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_192", + "improvement_over_parent": null + }, + "node_194": { + "node_id": "node_194", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0053)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 270.79 kg\n Factor of Safety: 1.33\n Max Deflection: 5.81e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.79042150078516, + "fos_buckling": 1.3342128966019304, + "fos_yielding": 1.952967654982626, + "deflection": 0.0058095743783336375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003722)" + }, + "parent_node_id": "node_193", + "improvement_over_parent": null + }, + "node_195": { + "node_id": "node_195", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0060)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.76 kg\n Factor of Safety: 1.47\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.76048639864996, + "fos_buckling": 1.4655211052018555, + "fos_yielding": 2.189428185734604, + "deflection": 0.005191099339608024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_194", + "improvement_over_parent": null + }, + "node_196": { + "node_id": "node_196", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_195", + "improvement_over_parent": null + }, + "node_197": { + "node_id": "node_197", + "content": "INITIAL DESIGN (Trace 27)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 194.50 kg\n Factor of Safety: 0.83\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.49677018182956, + "fos_buckling": 0.8333722459492336, + "fos_yielding": 1.4946766284985304, + "deflection": 0.008140326506333697, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_198": { + "node_id": "node_198", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 217.47 kg\n Factor of Safety: 0.92\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.46684774701322, + "fos_buckling": 0.9236300796851729, + "fos_yielding": 1.6697304764538068, + "deflection": 0.007291311697422253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_197", + "improvement_over_parent": null + }, + "node_199": { + "node_id": "node_199", + "content": "MODIFICATION: Increase 10 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 226.88 kg\n Factor of Safety: 1.16\n Max Deflection: 6.78e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.87912264575087, + "fos_buckling": 1.1610600310222998, + "fos_yielding": 1.6699761524677688, + "deflection": 0.006781532012814079, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.548)" + }, + "parent_node_id": "node_198", + "improvement_over_parent": null + }, + "node_200": { + "node_id": "node_200", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 257.11 kg\n Factor of Safety: 1.29\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.11087800844683, + "fos_buckling": 1.2932373979539071, + "fos_yielding": 1.8909316400324911, + "deflection": 0.005998076321904437, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_199", + "improvement_over_parent": null + }, + "node_201": { + "node_id": "node_201", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.20 kg\n Factor of Safety: 1.46\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.197125647034, + "fos_buckling": 1.4603573660600184, + "fos_yielding": 2.183326081735307, + "deflection": 0.0052050641903592905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_200", + "improvement_over_parent": null + }, + "node_202": { + "node_id": "node_202", + "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.31757916160785, + "fos_buckling": 1.513802508918157, + "fos_yielding": 2.1861389486776885, + "deflection": 0.005156387843706943, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.473)" + }, + "parent_node_id": "node_201", + "improvement_over_parent": null + }, + "node_203": { + "node_id": "node_203", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_202", + "improvement_over_parent": null + }, + "node_204": { + "node_id": "node_204", + "content": "INITIAL DESIGN (Trace 28)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 257.27 kg\n Factor of Safety: 1.26\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.26764082480264, + "fos_buckling": 1.2566860311736696, + "fos_yielding": 1.9227285299815897, + "deflection": 0.006343877356061031, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_205": { + "node_id": "node_205", + "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 262.96 kg\n Factor of Safety: 1.40\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.9593382125035, + "fos_buckling": 1.4042939769486487, + "fos_yielding": 1.9230280435360492, + "deflection": 0.005994809103050484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.462)" + }, + "parent_node_id": "node_204", + "improvement_over_parent": null + }, + "node_206": { + "node_id": "node_206", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.39 kg\n Factor of Safety: 1.56\n Max Deflection: 5.28e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 299.38508985884414, + "fos_buckling": 1.5600322686801502, + "fos_yielding": 2.1872354223104185, + "deflection": 0.005279155184670622, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_205", + "improvement_over_parent": null + }, + "node_207": { + "node_id": "node_207", + "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.47 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4732170827803, + "fos_buckling": 1.5142887718769782, + "fos_yielding": 2.187345182061632, + "deflection": 0.0051537643275284695, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.209)" + }, + "parent_node_id": "node_206", + "improvement_over_parent": null + }, + "node_208": { + "node_id": "node_208", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_207", + "improvement_over_parent": null + }, + "node_209": { + "node_id": "node_209", + "content": "INITIAL DESIGN (Trace 29)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 159.06 kg\n Factor of Safety: 0.31\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.06169383285888, + "fos_buckling": 0.30722116971816665, + "fos_yielding": 1.1319832556778335, + "deflection": 0.012651849879023182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_210": { + "node_id": "node_210", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n\nPerformance:\n Mass: 160.77 kg\n Factor of Safety: 0.59\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.7687380064836, + "fos_buckling": 0.5912932953104536, + "fos_yielding": 1.3239323125965397, + "deflection": 0.01071128518099269, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001384)" + }, + "parent_node_id": "node_209", + "improvement_over_parent": null + }, + "node_211": { + "node_id": "node_211", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 206.39 kg\n Factor of Safety: 0.74\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.38799699736435, + "fos_buckling": 0.7367407604620125, + "fos_yielding": 1.697542624048783, + "deflection": 0.008374072628145981, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_210", + "improvement_over_parent": null + }, + "node_212": { + "node_id": "node_212", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 239.07 kg\n Factor of Safety: 0.83\n Max Deflection: 7.25e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.0726554354269, + "fos_buckling": 0.8348892360503175, + "fos_yielding": 1.9646487767700656, + "deflection": 0.007248017081590814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_211", + "improvement_over_parent": null + }, + "node_213": { + "node_id": "node_213", + "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 240.74 kg\n Factor of Safety: 0.83\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.74447986744917, + "fos_buckling": 0.8349948187266222, + "fos_yielding": 1.9574202841165722, + "deflection": 0.007226162364413098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.185)" + }, + "parent_node_id": "node_212", + "improvement_over_parent": null + }, + "node_214": { + "node_id": "node_214", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 265.94 kg\n Factor of Safety: 0.91\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.93710010613364, + "fos_buckling": 0.9067727772960308, + "fos_yielding": 2.1609620878638123, + "deflection": 0.006554411888580228, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_213", + "improvement_over_parent": null + }, + "node_215": { + "node_id": "node_215", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 283.06 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.0550553377081, + "fos_buckling": 0.9056002900041226, + "fos_yielding": 2.160627744307453, + "deflection": 0.005600199813710729, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_214", + "improvement_over_parent": null + }, + "node_216": { + "node_id": "node_216", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.37 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3683902197349, + "fos_buckling": 1.5138465789657178, + "fos_yielding": 2.186483795227487, + "deflection": 0.005155627377022051, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_215", + "improvement_over_parent": null + }, + "node_217": { + "node_id": "node_217", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_216", + "improvement_over_parent": null + }, + "node_218": { + "node_id": "node_218", + "content": "INITIAL DESIGN (Trace 30)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_219": { + "node_id": "node_219", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 210.79 kg\n Factor of Safety: 0.77\n Max Deflection: 7.97e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.79433280329192, + "fos_buckling": 0.7699792834420526, + "fos_yielding": 1.7879287685111465, + "deflection": 0.007967023859468474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002688)" + }, + "parent_node_id": "node_218", + "improvement_over_parent": null + }, + "node_220": { + "node_id": "node_220", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 256.52 kg\n Factor of Safety: 0.91\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.516793417782, + "fos_buckling": 0.9075369053147532, + "fos_yielding": 2.1729222487071884, + "deflection": 0.006570442046535746, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_219", + "improvement_over_parent": null + }, + "node_221": { + "node_id": "node_221", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 280.86 kg\n Factor of Safety: 0.91\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.8579214231589, + "fos_buckling": 0.9058685618733084, + "fos_yielding": 2.1724652216730127, + "deflection": 0.005623389425170309, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_220", + "improvement_over_parent": null + }, + "node_222": { + "node_id": "node_222", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 301.17 kg\n Factor of Safety: 1.48\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.17125630518575, + "fos_buckling": 1.478254977628129, + "fos_yielding": 2.197438040541361, + "deflection": 0.0051734598893895915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_221", + "improvement_over_parent": null + }, + "node_223": { + "node_id": "node_223", + "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5095552571343, + "fos_buckling": 1.514472706061825, + "fos_yielding": 2.1877762906143383, + "deflection": 0.005152976154999704, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.248)" + }, + "parent_node_id": "node_222", + "improvement_over_parent": null + }, + "node_224": { + "node_id": "node_224", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_223", + "improvement_over_parent": null + }, + "node_225": { + "node_id": "node_225", + "content": "INITIAL DESIGN (Trace 31)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 170.48 kg\n Factor of Safety: 0.30\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.4830582574713, + "fos_buckling": 0.3009575718085455, + "fos_yielding": 0.9178824409552738, + "deflection": 0.016983244569956035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_226": { + "node_id": "node_226", + "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 171.02 kg\n Factor of Safety: 0.30\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.01510889218025, + "fos_buckling": 0.30093361299782084, + "fos_yielding": 0.917814418098825, + "deflection": 0.016932199360997963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.189)" + }, + "parent_node_id": "node_225", + "improvement_over_parent": null + }, + "node_227": { + "node_id": "node_227", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 217.10 kg\n Factor of Safety: 0.37\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.10110369913113, + "fos_buckling": 0.3697940674125482, + "fos_yielding": 1.1594375296643187, + "deflection": 0.013397221282164903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_226", + "improvement_over_parent": null + }, + "node_228": { + "node_id": "node_228", + "content": "MODIFICATION: Increase 14 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 221.32 kg\n Factor of Safety: 0.37\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.31975920739208, + "fos_buckling": 0.36973591142654116, + "fos_yielding": 1.1400222507995628, + "deflection": 0.013357450245947184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.277)" + }, + "parent_node_id": "node_227", + "improvement_over_parent": null + }, + "node_229": { + "node_id": "node_229", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n\nPerformance:\n Mass: 242.14 kg\n Factor of Safety: 1.26\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.13624214925042, + "fos_buckling": 1.2572291895519243, + "fos_yielding": 1.7477694672344095, + "deflection": 0.006429162813538566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004266)" + }, + "parent_node_id": "node_228", + "improvement_over_parent": null + }, + "node_230": { + "node_id": "node_230", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.66 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.66442207624476, + "fos_buckling": 1.5151252563158095, + "fos_yielding": 2.1888126803572545, + "deflection": 0.00515056305025379, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_229", + "improvement_over_parent": null + }, + "node_231": { + "node_id": "node_231", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_230", + "improvement_over_parent": null + }, + "node_232": { + "node_id": "node_232", + "content": "INITIAL DESIGN (Trace 32)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 164.70 kg\n Factor of Safety: 0.26\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.69723713360509, + "fos_buckling": 0.2606396029887886, + "fos_yielding": 0.739518218451364, + "deflection": 0.021427809083464252, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_233": { + "node_id": "node_233", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n\nPerformance:\n Mass: 175.85 kg\n Factor of Safety: 0.72\n Max Deflection: 9.61e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.85348988283906, + "fos_buckling": 0.7202407455172132, + "fos_yielding": 1.6169737752397193, + "deflection": 0.009614437693707213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002212)" + }, + "parent_node_id": "node_232", + "improvement_over_parent": null + }, + "node_234": { + "node_id": "node_234", + "content": "MODIFICATION: Increase 1 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n\nPerformance:\n Mass: 182.84 kg\n Factor of Safety: 0.77\n Max Deflection: 8.89e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.83521001264918, + "fos_buckling": 0.77057881906002, + "fos_yielding": 1.6169737752397193, + "deflection": 0.008893406770847432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.650)" + }, + "parent_node_id": "node_233", + "improvement_over_parent": null + }, + "node_235": { + "node_id": "node_235", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 195.00 kg\n Factor of Safety: 0.79\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.99670445819652, + "fos_buckling": 0.7908547210652423, + "fos_yielding": 1.4762054521635086, + "deflection": 0.008251591045958021, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002760)" + }, + "parent_node_id": "node_234", + "improvement_over_parent": null + }, + "node_236": { + "node_id": "node_236", + "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 199.41 kg\n Factor of Safety: 0.79\n Max Deflection: 8.18e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.41356968481094, + "fos_buckling": 0.7887204569587746, + "fos_yielding": 1.4873830938159123, + "deflection": 0.008176731032111011, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.274)" + }, + "parent_node_id": "node_235", + "improvement_over_parent": null + }, + "node_237": { + "node_id": "node_237", + "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 0.79\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.17301113935227, + "fos_buckling": 0.7902961066871789, + "fos_yielding": 1.4759923103562873, + "deflection": 0.008128824376042012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.613)" + }, + "parent_node_id": "node_236", + "improvement_over_parent": null + }, + "node_238": { + "node_id": "node_238", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0052)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 249.72 kg\n Factor of Safety: 0.95\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.7179840032798, + "fos_buckling": 0.9521146727557294, + "fos_yielding": 1.8043263159637597, + "deflection": 0.0066582525010487345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_237", + "improvement_over_parent": null + }, + "node_239": { + "node_id": "node_239", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0061)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 302.49 kg\n Factor of Safety: 1.13\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.4867490501367, + "fos_buckling": 1.1330728464234583, + "fos_yielding": 2.1844395043383464, + "deflection": 0.0055076345190996434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_238", + "improvement_over_parent": null + }, + "node_240": { + "node_id": "node_240", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_239", + "improvement_over_parent": null + }, + "node_241": { + "node_id": "node_241", + "content": "INITIAL DESIGN (Trace 33)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n\nPerformance:\n Mass: 136.35 kg\n Factor of Safety: 0.31\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.35065672658268, + "fos_buckling": 0.30805529498742573, + "fos_yielding": 0.9719815101717113, + "deflection": 0.013762832384875353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_242": { + "node_id": "node_242", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 161.17 kg\n Factor of Safety: 0.36\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.17128099770667, + "fos_buckling": 0.35711515388096554, + "fos_yielding": 1.1477816764814543, + "deflection": 0.01166946418149963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_241", + "improvement_over_parent": null + }, + "node_243": { + "node_id": "node_243", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 205.49 kg\n Factor of Safety: 0.44\n Max Deflection: 9.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.4943234180026, + "fos_buckling": 0.43950230845909805, + "fos_yielding": 1.4608518746138186, + "deflection": 0.00918907464215201, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_242", + "improvement_over_parent": null + }, + "node_244": { + "node_id": "node_244", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 225.84 kg\n Factor of Safety: 0.90\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.84136846457304, + "fos_buckling": 0.8971080565595978, + "fos_yielding": 1.7297422731597405, + "deflection": 0.007575304387367441, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003902)" + }, + "parent_node_id": "node_243", + "improvement_over_parent": null + }, + "node_245": { + "node_id": "node_245", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n\nPerformance:\n Mass: 235.33 kg\n Factor of Safety: 1.16\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.32661330009077, + "fos_buckling": 1.1614973167394864, + "fos_yielding": 1.7278817423719575, + "deflection": 0.006598751634230587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002347)" + }, + "parent_node_id": "node_244", + "improvement_over_parent": null + }, + "node_246": { + "node_id": "node_246", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n\nPerformance:\n Mass: 298.43 kg\n Factor of Safety: 1.43\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.43078881757503, + "fos_buckling": 1.432678617884462, + "fos_yielding": 2.1874427952592224, + "deflection": 0.005228450384054939, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_245", + "improvement_over_parent": null + }, + "node_247": { + "node_id": "node_247", + "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0079)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n\nPerformance:\n Mass: 308.69 kg\n Factor of Safety: 1.44\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 308.68768002418886, + "fos_buckling": 1.4418002919412198, + "fos_yielding": 2.190567140247089, + "deflection": 0.005024788415703768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.453)" + }, + "parent_node_id": "node_246", + "improvement_over_parent": null + }, + "node_248": { + "node_id": "node_248", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_247", + "improvement_over_parent": null + }, + "node_249": { + "node_id": "node_249", + "content": "INITIAL DESIGN (Trace 34)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 0.53\n Max Deflection: 2.40e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.7066915251368, + "fos_buckling": 0.5251005870299326, + "fos_yielding": 1.0353278122851994, + "deflection": 23990626506927.81, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_250": { + "node_id": "node_250", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 210.28 kg\n Factor of Safety: 0.92\n Max Deflection: 4.60e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.280891190113, + "fos_buckling": 0.9177351866607095, + "fos_yielding": 2.0209105529930356, + "deflection": 4597871623469.173, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_249", + "improvement_over_parent": null + }, + "node_251": { + "node_id": "node_251", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 233.50 kg\n Factor of Safety: 0.53\n Max Deflection: 3.68e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.504411571261, + "fos_buckling": 0.5338368721706739, + "fos_yielding": 2.3777135231030697, + "deflection": 3681613762472.828, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_250", + "improvement_over_parent": null + }, + "node_252": { + "node_id": "node_252", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 251.54 kg\n Factor of Safety: 0.45\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.5361782564907, + "fos_buckling": 0.4456562824913283, + "fos_yielding": 1.8497647122289083, + "deflection": 0.012053292111338244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_251", + "improvement_over_parent": null + }, + "node_253": { + "node_id": "node_253", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 277.62 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.62397053926685, + "fos_buckling": 0.531943272734083, + "fos_yielding": 1.8473580968475656, + "deflection": 0.0067038057537200085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_252", + "improvement_over_parent": null + }, + "node_254": { + "node_id": "node_254", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4145980816808, + "fos_buckling": 1.5140704758672494, + "fos_yielding": 2.186940056955708, + "deflection": 0.005154714405106547, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_253", + "improvement_over_parent": null + }, + "node_255": { + "node_id": "node_255", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_254", + "improvement_over_parent": null + }, + "node_256": { + "node_id": "node_256", + "content": "INITIAL DESIGN (Trace 35)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 249.99 kg\n Factor of Safety: 1.00\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.99061611133885, + "fos_buckling": 0.9988981774694647, + "fos_yielding": 2.1749835775003814, + "deflection": 0.006326176747138019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_257": { + "node_id": "node_257", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n\nPerformance:\n Mass: 266.36 kg\n Factor of Safety: 1.09\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.3592120892799, + "fos_buckling": 1.090007961471656, + "fos_yielding": 1.9896553106551458, + "deflection": 0.005876064159994816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003797)" + }, + "parent_node_id": "node_256", + "improvement_over_parent": null + }, + "node_258": { + "node_id": "node_258", + "content": "MODIFICATION: Increase 13 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n\nPerformance:\n Mass: 273.93 kg\n Factor of Safety: 1.26\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.93093666201435, + "fos_buckling": 1.258245354637453, + "fos_yielding": 1.9849592220698111, + "deflection": 0.005745391824440025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.608)" + }, + "parent_node_id": "node_257", + "improvement_over_parent": null + }, + "node_259": { + "node_id": "node_259", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 301.86 kg\n Factor of Safety: 1.37\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.85853696546747, + "fos_buckling": 1.3745105753043891, + "fos_yielding": 2.1858660542167825, + "deflection": 0.005224203937887174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_258", + "improvement_over_parent": null + }, + "node_260": { + "node_id": "node_260", + "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.47 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.47159205880394, + "fos_buckling": 1.5142275853593816, + "fos_yielding": 2.1872846891489797, + "deflection": 0.005153934627111122, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.447)" + }, + "parent_node_id": "node_259", + "improvement_over_parent": null + }, + "node_261": { + "node_id": "node_261", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_260", + "improvement_over_parent": null + }, + "node_262": { + "node_id": "node_262", + "content": "INITIAL DESIGN (Trace 36)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 230.52 kg\n Factor of Safety: 1.17\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.51957679774623, + "fos_buckling": 1.1748873951207974, + "fos_yielding": 1.711300911760612, + "deflection": 0.0067063428540643675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_263": { + "node_id": "node_263", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 267.70 kg\n Factor of Safety: 1.33\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.6990630002194, + "fos_buckling": 1.3317871225091646, + "fos_yielding": 1.9851087404879202, + "deflection": 0.005791496043633023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_262", + "improvement_over_parent": null + }, + "node_264": { + "node_id": "node_264", + "content": "MODIFICATION: Increase 11 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 275.16 kg\n Factor of Safety: 1.40\n Max Deflection: 5.67e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.1628313190176, + "fos_buckling": 1.3985984626705246, + "fos_yielding": 1.9847085094965444, + "deflection": 0.00567165882331644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.555)" + }, + "parent_node_id": "node_263", + "improvement_over_parent": null + }, + "node_265": { + "node_id": "node_265", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.21 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2070967183799, + "fos_buckling": 1.513180904653421, + "fos_yielding": 2.185588835309302, + "deflection": 0.005158063931815216, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_264", + "improvement_over_parent": null + }, + "node_266": { + "node_id": "node_266", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_265", + "improvement_over_parent": null + }, + "node_267": { + "node_id": "node_267", + "content": "INITIAL DESIGN (Trace 37)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 229.10 kg\n Factor of Safety: 0.83\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.10267170521843, + "fos_buckling": 0.8319639845361848, + "fos_yielding": 1.9769509520320636, + "deflection": 0.007157432243736049, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_268": { + "node_id": "node_268", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 253.99 kg\n Factor of Safety: 0.91\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.99320962827795, + "fos_buckling": 0.9057904792634729, + "fos_yielding": 2.186933234646189, + "deflection": 0.006467243546638129, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_267", + "improvement_over_parent": null + }, + "node_269": { + "node_id": "node_269", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 272.02 kg\n Factor of Safety: 0.91\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.0249763135077, + "fos_buckling": 0.9070252653366458, + "fos_yielding": 2.162822681272024, + "deflection": 0.005924825072848757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_268", + "improvement_over_parent": null + }, + "node_270": { + "node_id": "node_270", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 292.34 kg\n Factor of Safety: 1.20\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.3383111955345, + "fos_buckling": 1.2025345505483436, + "fos_yielding": 2.188172425032797, + "deflection": 0.005497742841569039, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_269", + "improvement_over_parent": null + }, + "node_271": { + "node_id": "node_271", + "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.57 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.57256053790354, + "fos_buckling": 1.5142865769773042, + "fos_yielding": 2.188466643034226, + "deflection": 0.005152004244326884, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.490)" + }, + "parent_node_id": "node_270", + "improvement_over_parent": null + }, + "node_272": { + "node_id": "node_272", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_271", + "improvement_over_parent": null + }, + "node_273": { + "node_id": "node_273", + "content": "INITIAL DESIGN (Trace 38)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 174.45 kg\n Factor of Safety: 0.72\n Max Deflection: 9.77e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.45290482487798, + "fos_buckling": 0.7173042220495249, + "fos_yielding": 1.3377836936799796, + "deflection": 0.009766368821059015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_274": { + "node_id": "node_274", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n\nPerformance:\n Mass: 184.89 kg\n Factor of Safety: 1.00\n Max Deflection: 8.38e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.8852610105564, + "fos_buckling": 0.9950731434258827, + "fos_yielding": 1.336207094853697, + "deflection": 0.008383291693669777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002594)" + }, + "parent_node_id": "node_273", + "improvement_over_parent": null + }, + "node_275": { + "node_id": "node_275", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n\nPerformance:\n Mass: 206.48 kg\n Factor of Safety: 1.10\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.4849487392175, + "fos_buckling": 1.0964837723483385, + "fos_yielding": 1.4915769779217714, + "deflection": 0.00751877061359376, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_274", + "improvement_over_parent": null + }, + "node_276": { + "node_id": "node_276", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n\nPerformance:\n Mass: 239.39 kg\n Factor of Safety: 1.25\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.38691496209822, + "fos_buckling": 1.2450824743634215, + "fos_yielding": 1.7279516361251608, + "deflection": 0.006501698256477738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_275", + "improvement_over_parent": null + }, + "node_277": { + "node_id": "node_277", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.71 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.7092324780814, + "fos_buckling": 1.515250050264683, + "fos_yielding": 2.189033304283402, + "deflection": 0.005149868224689827, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_276", + "improvement_over_parent": null + }, + "node_278": { + "node_id": "node_278", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_277", + "improvement_over_parent": null + }, + "node_279": { + "node_id": "node_279", + "content": "INITIAL DESIGN (Trace 39)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 186.85 kg\n Factor of Safety: 0.35\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.84832558167875, + "fos_buckling": 0.35384522169928057, + "fos_yielding": 0.6517601907461407, + "deflection": 0.01827127113725969, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_280": { + "node_id": "node_280", + "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 187.29 kg\n Factor of Safety: 0.35\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.29499569579542, + "fos_buckling": 0.35383341262232393, + "fos_yielding": 0.825423223031955, + "deflection": 0.017273001360756973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.285)" + }, + "parent_node_id": "node_279", + "improvement_over_parent": null + }, + "node_281": { + "node_id": "node_281", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n\nPerformance:\n Mass: 196.90 kg\n Factor of Safety: 0.35\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.89838450533972, + "fos_buckling": 0.3537065150546067, + "fos_yielding": 1.0831626048205176, + "deflection": 0.01610543740821327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002811)" + }, + "parent_node_id": "node_280", + "improvement_over_parent": null + }, + "node_282": { + "node_id": "node_282", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n\nPerformance:\n Mass: 234.78 kg\n Factor of Safety: 0.41\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.78437732167177, + "fos_buckling": 0.4100696745009414, + "fos_yielding": 1.286932276643041, + "deflection": 0.013554143775808066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_281", + "improvement_over_parent": null + }, + "node_283": { + "node_id": "node_283", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 260.42 kg\n Factor of Safety: 0.45\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.41949022177783, + "fos_buckling": 0.44610504902552467, + "fos_yielding": 1.423980963893336, + "deflection": 0.012248917936431496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_282", + "improvement_over_parent": null + }, + "node_284": { + "node_id": "node_284", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 277.54 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.5374454533523, + "fos_buckling": 0.4455379344900216, + "fos_yielding": 1.4223037373948613, + "deflection": 0.010706406371936285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_283", + "improvement_over_parent": null + }, + "node_285": { + "node_id": "node_285", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.63 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.62523773612844, + "fos_buckling": 1.514933239627978, + "fos_yielding": 2.1886621984045065, + "deflection": 0.005151390397738251, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_284", + "improvement_over_parent": null + }, + "node_286": { + "node_id": "node_286", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_285", + "improvement_over_parent": null + }, + "node_287": { + "node_id": "node_287", + "content": "INITIAL DESIGN (Trace 40)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0009)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0019)]\n\nPerformance:\n Mass: 107.91 kg\n Factor of Safety: 0.51\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.9054096119254, + "fos_buckling": 0.510235389919455, + "fos_yielding": 0.8994143513632102, + "deflection": 0.015340209353099536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_288": { + "node_id": "node_288", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 140.88 kg\n Factor of Safety: 0.65\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.8787388557374, + "fos_buckling": 0.6526104964156378, + "fos_yielding": 1.1729868406928385, + "deflection": 0.011774174977829028, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_287", + "improvement_over_parent": null + }, + "node_289": { + "node_id": "node_289", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 174.23 kg\n Factor of Safety: 0.79\n Max Deflection: 9.54e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.22678683266625, + "fos_buckling": 0.7901620813028073, + "fos_yielding": 1.449048072151209, + "deflection": 0.009540471768971407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_288", + "improvement_over_parent": null + }, + "node_290": { + "node_id": "node_290", + "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 177.53 kg\n Factor of Safety: 0.79\n Max Deflection: 9.41e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.53118521400407, + "fos_buckling": 0.790236840925698, + "fos_yielding": 1.4656694608585468, + "deflection": 0.009407357932711956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.406)" + }, + "parent_node_id": "node_289", + "improvement_over_parent": null + }, + "node_291": { + "node_id": "node_291", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 208.41 kg\n Factor of Safety: 0.91\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.41489062124984, + "fos_buckling": 0.9097891159129844, + "fos_yielding": 1.7189867148957954, + "deflection": 0.008028452138959355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_290", + "improvement_over_parent": null + }, + "node_292": { + "node_id": "node_292", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 270.28 kg\n Factor of Safety: 1.13\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.28166635539003, + "fos_buckling": 1.1333034112230533, + "fos_yielding": 2.2248902908656025, + "deflection": 0.006214058803215659, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_291", + "improvement_over_parent": null + }, + "node_293": { + "node_id": "node_293", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 293.51 kg\n Factor of Safety: 1.48\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.505186736538, + "fos_buckling": 1.4800108099223013, + "fos_yielding": 2.193522442163268, + "deflection": 0.005595623543078907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_292", + "improvement_over_parent": null + }, + "node_294": { + "node_id": "node_294", + "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.33 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3259176652008, + "fos_buckling": 1.5136563742730589, + "fos_yielding": 2.1861710988201724, + "deflection": 0.005156114164671722, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.618)" + }, + "parent_node_id": "node_293", + "improvement_over_parent": null + }, + "node_295": { + "node_id": "node_295", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_294", + "improvement_over_parent": null + }, + "node_296": { + "node_id": "node_296", + "content": "INITIAL DESIGN (Trace 41)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 177.54 kg\n Factor of Safety: 0.75\n Max Deflection: 9.43e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.53521047280523, + "fos_buckling": 0.7538920887705899, + "fos_yielding": 1.388556704492628, + "deflection": 0.009426742939977677, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_297": { + "node_id": "node_297", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n\nPerformance:\n Mass: 179.34 kg\n Factor of Safety: 0.75\n Max Deflection: 9.36e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.34253678307812, + "fos_buckling": 0.7537902613474018, + "fos_yielding": 1.42356623561146, + "deflection": 0.00935883713200826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001470)" + }, + "parent_node_id": "node_296", + "improvement_over_parent": null + }, + "node_298": { + "node_id": "node_298", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 225.96 kg\n Factor of Safety: 0.92\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.95955975161223, + "fos_buckling": 0.9193212012835594, + "fos_yielding": 1.7908844702997235, + "deflection": 0.007456898613522899, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_297", + "improvement_over_parent": null + }, + "node_299": { + "node_id": "node_299", + "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 228.30 kg\n Factor of Safety: 0.92\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.29914815486833, + "fos_buckling": 0.9192411125543118, + "fos_yielding": 1.781205678966731, + "deflection": 0.007426354887000231, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.316)" + }, + "parent_node_id": "node_298", + "improvement_over_parent": null + }, + "node_300": { + "node_id": "node_300", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 281.40 kg\n Factor of Safety: 1.09\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.39963120959595, + "fos_buckling": 1.0912662323763196, + "fos_yielding": 2.192084200649013, + "deflection": 0.006050889074862061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_299", + "improvement_over_parent": null + }, + "node_301": { + "node_id": "node_301", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 298.52 kg\n Factor of Safety: 1.39\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.5175864411704, + "fos_buckling": 1.3902109546824415, + "fos_yielding": 2.1895304523557204, + "deflection": 0.005209604141840451, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_300", + "improvement_over_parent": null + }, + "node_302": { + "node_id": "node_302", + "content": "MODIFICATION: Increase 13 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0065)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 305.21 kg\n Factor of Safety: 1.40\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.2079979852857, + "fos_buckling": 1.400489237021029, + "fos_yielding": 2.20687954577422, + "deflection": 0.005156061429835392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.294)" + }, + "parent_node_id": "node_301", + "improvement_over_parent": null + }, + "node_303": { + "node_id": "node_303", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_302", + "improvement_over_parent": null + }, + "node_304": { + "node_id": "node_304", + "content": "INITIAL DESIGN (Trace 42)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.77 kg\n Factor of Safety: 1.29\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.7719837093636, + "fos_buckling": 1.2868528046674703, + "fos_yielding": 1.8643618649459637, + "deflection": 0.005236416310700565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_305": { + "node_id": "node_305", + "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 302.26345744828393, + "fos_buckling": 1.5126852460823184, + "fos_yielding": 2.1782560892778, + "deflection": 0.005163667039283817, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.389)" + }, + "parent_node_id": "node_304", + "improvement_over_parent": null + }, + "node_306": { + "node_id": "node_306", + "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 302.5526010960291, + "fos_buckling": 1.5131558152833275, + "fos_yielding": 2.1811256013616265, + "deflection": 0.005160660217923972, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.186)" + }, + "parent_node_id": "node_305", + "improvement_over_parent": null + }, + "node_307": { + "node_id": "node_307", + "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4160863381836, + "fos_buckling": 1.5140828080679012, + "fos_yielding": 2.186938612530346, + "deflection": 0.0051547182589118485, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.488)" + }, + "parent_node_id": "node_306", + "improvement_over_parent": null + }, + "node_308": { + "node_id": "node_308", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_307", + "improvement_over_parent": null + }, + "node_309": { + "node_id": "node_309", + "content": "INITIAL DESIGN (Trace 43)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 274.62 kg\n Factor of Safety: 0.74\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.6158047419836, + "fos_buckling": 0.7382562286917049, + "fos_yielding": 2.218257651224553, + "deflection": 0.011498739154758866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_310": { + "node_id": "node_310", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n\nPerformance:\n Mass: 278.75 kg\n Factor of Safety: 0.91\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.7527521482948, + "fos_buckling": 0.9050931890313364, + "fos_yielding": 2.225099452453385, + "deflection": 0.006168951325081405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002408)" + }, + "parent_node_id": "node_309", + "improvement_over_parent": null + }, + "node_311": { + "node_id": "node_311", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n\nPerformance:\n Mass: 279.69 kg\n Factor of Safety: 0.91\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.6870518292639, + "fos_buckling": 0.9051417074381238, + "fos_yielding": 2.220837352267877, + "deflection": 0.006161400161101532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.381)" + }, + "parent_node_id": "node_310", + "improvement_over_parent": null + }, + "node_312": { + "node_id": "node_312", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 302.91 kg\n Factor of Safety: 1.43\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.9105722104119, + "fos_buckling": 1.4290599552219407, + "fos_yielding": 2.189765076109908, + "deflection": 0.005210620291037296, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_311", + "improvement_over_parent": null + }, + "node_313": { + "node_id": "node_313", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_312", + "improvement_over_parent": null + }, + "node_314": { + "node_id": "node_314", + "content": "INITIAL DESIGN (Trace 44)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 204.57 kg\n Factor of Safety: 1.12\n Max Deflection: 7.91e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.56700089763416, + "fos_buckling": 1.1248442589158667, + "fos_yielding": 1.5403094391129746, + "deflection": 0.007905052557920634, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_315": { + "node_id": "node_315", + "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 210.11 kg\n Factor of Safety: 1.12\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.11184666058486, + "fos_buckling": 1.1248522078838152, + "fos_yielding": 1.5405224743041996, + "deflection": 0.007500681863169497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.475)" + }, + "parent_node_id": "node_314", + "improvement_over_parent": null + }, + "node_316": { + "node_id": "node_316", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 250.29 kg\n Factor of Safety: 1.31\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.28833411518113, + "fos_buckling": 1.3056683055509257, + "fos_yielding": 1.8330923298853206, + "deflection": 0.006314600855497786, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_315", + "improvement_over_parent": null + }, + "node_317": { + "node_id": "node_317", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.13 kg\n Factor of Safety: 1.51\n Max Deflection: 5.30e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 299.12515189367497, + "fos_buckling": 1.510941478947745, + "fos_yielding": 2.1878398500297007, + "deflection": 0.0053018018120849315, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_316", + "improvement_over_parent": null + }, + "node_318": { + "node_id": "node_318", + "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.19 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.19295323614836, + "fos_buckling": 1.5132033995028094, + "fos_yielding": 2.1853918397499768, + "deflection": 0.0051585112214018085, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.193)" + }, + "parent_node_id": "node_317", + "improvement_over_parent": null + }, + "node_319": { + "node_id": "node_319", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_318", + "improvement_over_parent": null + }, + "node_320": { + "node_id": "node_320", + "content": "INITIAL DESIGN (Trace 45)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 197.07 kg\n Factor of Safety: 0.80\n Max Deflection: 8.07e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.07348170589486, + "fos_buckling": 0.8006878884898044, + "fos_yielding": 1.552311712732265, + "deflection": 0.008074672893858128, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_321": { + "node_id": "node_321", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 234.15 kg\n Factor of Safety: 0.94\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.1548442425553, + "fos_buckling": 0.9400424669887972, + "fos_yielding": 1.8413294029454907, + "deflection": 0.0068108615390809575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_320", + "improvement_over_parent": null + }, + "node_322": { + "node_id": "node_322", + "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 240.38 kg\n Factor of Safety: 1.01\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.37890152811298, + "fos_buckling": 1.0066335899537087, + "fos_yielding": 1.8374045723494747, + "deflection": 0.0066620053341437955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.504)" + }, + "parent_node_id": "node_321", + "improvement_over_parent": null + }, + "node_323": { + "node_id": "node_323", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 286.10 kg\n Factor of Safety: 1.18\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.09669774225654, + "fos_buckling": 1.1762638440528665, + "fos_yielding": 2.1831028015256635, + "deflection": 0.005613589453744639, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_322", + "improvement_over_parent": null + }, + "node_324": { + "node_id": "node_324", + "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 295.15 kg\n Factor of Safety: 1.44\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.1457467860796, + "fos_buckling": 1.4401777611642328, + "fos_yielding": 2.1887484268618684, + "deflection": 0.005264060857845837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.582)" + }, + "parent_node_id": "node_323", + "improvement_over_parent": null + }, + "node_325": { + "node_id": "node_325", + "content": "MODIFICATION: Increase 11 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.59 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5898416706979, + "fos_buckling": 1.5147908329073028, + "fos_yielding": 2.188279546980382, + "deflection": 0.005151830767849837, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.582)" + }, + "parent_node_id": "node_324", + "improvement_over_parent": null + }, + "node_326": { + "node_id": "node_326", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_325", + "improvement_over_parent": null + }, + "node_327": { + "node_id": "node_327", + "content": "INITIAL DESIGN (Trace 46)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 164.97 kg\n Factor of Safety: 0.30\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.97363210069955, + "fos_buckling": 0.298844056909953, + "fos_yielding": 0.7435259269342133, + "deflection": 0.017734979934849737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_328": { + "node_id": "node_328", + "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 165.34 kg\n Factor of Safety: 0.30\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.33962252624443, + "fos_buckling": 0.298835870839799, + "fos_yielding": 0.9148691057475918, + "deflection": 0.01733674341734331, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.279)" + }, + "parent_node_id": "node_327", + "improvement_over_parent": null + }, + "node_329": { + "node_id": "node_329", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n\nPerformance:\n Mass: 181.61 kg\n Factor of Safety: 0.98\n Max Deflection: 8.46e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.6075377332382, + "fos_buckling": 0.9760528485661596, + "fos_yielding": 1.3528615385809202, + "deflection": 0.008455768892991994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003281)" + }, + "parent_node_id": "node_328", + "improvement_over_parent": null + }, + "node_330": { + "node_id": "node_330", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n\nPerformance:\n Mass: 225.11 kg\n Factor of Safety: 1.18\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.11487118926274, + "fos_buckling": 1.1761516680123791, + "fos_yielding": 1.6747039858065254, + "deflection": 0.006844916978081287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_329", + "improvement_over_parent": null + }, + "node_331": { + "node_id": "node_331", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 291.57 kg\n Factor of Safety: 1.46\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.5703598338536, + "fos_buckling": 1.4571849832728805, + "fos_yielding": 2.1645617109013493, + "deflection": 0.005312382877040197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_330", + "improvement_over_parent": null + }, + "node_332": { + "node_id": "node_332", + "content": "MODIFICATION: Increase 11 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0064)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 299.15 kg\n Factor of Safety: 1.45\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.15353843469273, + "fos_buckling": 1.453654649759007, + "fos_yielding": 2.166390822671469, + "deflection": 0.0052766846921157105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.429)" + }, + "parent_node_id": "node_331", + "improvement_over_parent": null + }, + "node_333": { + "node_id": "node_333", + "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0064)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 304.17 kg\n Factor of Safety: 1.45\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 304.17156824275116, + "fos_buckling": 1.4530227525204908, + "fos_yielding": 2.1895385264144647, + "deflection": 0.005203303694079985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.420)" + }, + "parent_node_id": "node_332", + "improvement_over_parent": null + }, + "node_334": { + "node_id": "node_334", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_333", + "improvement_over_parent": null + }, + "node_335": { + "node_id": "node_335", + "content": "INITIAL DESIGN (Trace 47)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 212.31 kg\n Factor of Safety: 0.43\n Max Deflection: 8.70e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.31435814346548, + "fos_buckling": 0.42783449410985874, + "fos_yielding": 1.416307776865513, + "deflection": 0.008702498965584142, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_336": { + "node_id": "node_336", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 248.11 kg\n Factor of Safety: 0.49\n Max Deflection: 7.48e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.1140961580588, + "fos_buckling": 0.48644997279427055, + "fos_yielding": 1.6528545489620547, + "deflection": 0.007476623569639282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_335", + "improvement_over_parent": null + }, + "node_337": { + "node_id": "node_337", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.47 kg\n Factor of Safety: 0.53\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.46895166952953, + "fos_buckling": 0.5317100488683263, + "fos_yielding": 1.8463339389757736, + "deflection": 0.00670747294162729, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_336", + "improvement_over_parent": null + }, + "node_338": { + "node_id": "node_338", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2595792119435, + "fos_buckling": 1.5133913469656524, + "fos_yielding": 2.185765810144479, + "deflection": 0.005157421195995131, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_337", + "improvement_over_parent": null + }, + "node_339": { + "node_id": "node_339", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_338", + "improvement_over_parent": null + }, + "node_340": { + "node_id": "node_340", + "content": "INITIAL DESIGN (Trace 48)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_341": { + "node_id": "node_341", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 286.29 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.2947197179306, + "fos_buckling": 1.090693797349381, + "fos_yielding": 2.1896601129467936, + "deflection": 0.0060045721029973135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_340", + "improvement_over_parent": null + }, + "node_342": { + "node_id": "node_342", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41267494950506, + "fos_buckling": 1.5140513260232196, + "fos_yielding": 2.1869390657938568, + "deflection": 0.005154763213045904, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_341", + "improvement_over_parent": null + }, + "node_343": { + "node_id": "node_343", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_342", + "improvement_over_parent": null + }, + "node_344": { + "node_id": "node_344", + "content": "INITIAL DESIGN (Trace 49)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 226.03 kg\n Factor of Safety: 0.79\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.0309923392886, + "fos_buckling": 0.792245180991901, + "fos_yielding": 1.8674781253509394, + "deflection": 0.007182061838850897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_345": { + "node_id": "node_345", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 264.93 kg\n Factor of Safety: 0.90\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.92501483250754, + "fos_buckling": 0.9041117607086938, + "fos_yielding": 2.1824671193760907, + "deflection": 0.006146156895371851, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_344", + "improvement_over_parent": null + }, + "node_346": { + "node_id": "node_346", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 285.24 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.23834971453437, + "fos_buckling": 1.0761528404989813, + "fos_yielding": 2.394602137837984, + "deflection": 0.005580751608160014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_345", + "improvement_over_parent": null + }, + "node_347": { + "node_id": "node_347", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2701163997641, + "fos_buckling": 1.513405035519081, + "fos_yielding": 2.1857289711220442, + "deflection": 0.005157352381842669, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_346", + "improvement_over_parent": null + }, + "node_348": { + "node_id": "node_348", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_347", + "improvement_over_parent": null + }, + "node_349": { + "node_id": "node_349", + "content": "INITIAL DESIGN (Trace 50)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 170.98 kg\n Factor of Safety: 0.30\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.97948463313733, + "fos_buckling": 0.30104742782634175, + "fos_yielding": 0.9188199023901766, + "deflection": 0.01692709727009515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_350": { + "node_id": "node_350", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n\nPerformance:\n Mass: 187.39 kg\n Factor of Safety: 0.91\n Max Deflection: 8.23e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.39291243715564, + "fos_buckling": 0.9071851380573666, + "fos_yielding": 1.366500545398643, + "deflection": 0.008225501022138532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003312)" + }, + "parent_node_id": "node_349", + "improvement_over_parent": null + }, + "node_351": { + "node_id": "node_351", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n\nPerformance:\n Mass: 236.68 kg\n Factor of Safety: 1.12\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.68287810257183, + "fos_buckling": 1.1169734163028548, + "fos_yielding": 1.7237359030800383, + "deflection": 0.0065377270513701825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_350", + "improvement_over_parent": null + }, + "node_352": { + "node_id": "node_352", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 267.67 kg\n Factor of Safety: 1.24\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.6711734508375, + "fos_buckling": 1.24283314284127, + "fos_yielding": 1.9478572025727163, + "deflection": 0.005794878490526963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_351", + "improvement_over_parent": null + }, + "node_353": { + "node_id": "node_353", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 298.17 kg\n Factor of Safety: 1.36\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.1662408394816, + "fos_buckling": 1.36217310325971, + "fos_yielding": 2.168055580897075, + "deflection": 0.005214600701868061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_352", + "improvement_over_parent": null + }, + "node_354": { + "node_id": "node_354", + "content": "MODIFICATION: Increase 15 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0070)]\n\nPerformance:\n Mass: 304.82 kg\n Factor of Safety: 1.35\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 304.82493074103536, + "fos_buckling": 1.3518061592700539, + "fos_yielding": 2.1701044396219684, + "deflection": 0.0050708691638707065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.289)" + }, + "parent_node_id": "node_353", + "improvement_over_parent": null + }, + "node_355": { + "node_id": "node_355", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_354", + "improvement_over_parent": null + }, + "node_356": { + "node_id": "node_356", + "content": "INITIAL DESIGN (Trace 51)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 152.03 kg\n Factor of Safety: 0.28\n Max Deflection: 2.27e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.02675893180043, + "fos_buckling": 0.27853058336359826, + "fos_yielding": 0.8365489501590346, + "deflection": 0.02266301321740202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_357": { + "node_id": "node_357", + "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 153.24 kg\n Factor of Safety: 0.28\n Max Deflection: 2.26e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.2399314581616, + "fos_buckling": 0.27851792440333156, + "fos_yielding": 0.8480702309720327, + "deflection": 0.022592580857955492, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.209)" + }, + "parent_node_id": "node_356", + "improvement_over_parent": null + }, + "node_358": { + "node_id": "node_358", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n\nPerformance:\n Mass: 156.45 kg\n Factor of Safety: 0.28\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.45059166196287, + "fos_buckling": 0.2783839872178852, + "fos_yielding": 0.8476899288596352, + "deflection": 0.018483635553162518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001841)" + }, + "parent_node_id": "node_357", + "improvement_over_parent": null + }, + "node_359": { + "node_id": "node_359", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n\nPerformance:\n Mass: 200.77 kg\n Factor of Safety: 0.35\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.76960992917247, + "fos_buckling": 0.3463194748331702, + "fos_yielding": 1.0827510880476319, + "deflection": 0.014464470502775308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_358", + "improvement_over_parent": null + }, + "node_360": { + "node_id": "node_360", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n\nPerformance:\n Mass: 220.06 kg\n Factor of Safety: 1.14\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.0610849104997, + "fos_buckling": 1.1428611292399937, + "fos_yielding": 1.599354731015475, + "deflection": 0.007046546115158529, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003932)" + }, + "parent_node_id": "node_359", + "improvement_over_parent": null + }, + "node_361": { + "node_id": "node_361", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 265.15 kg\n Factor of Safety: 1.33\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.1542327702949, + "fos_buckling": 1.3333870512242696, + "fos_yielding": 1.924943743249124, + "deflection": 0.005868441823908386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_360", + "improvement_over_parent": null + }, + "node_362": { + "node_id": "node_362", + "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 270.12 kg\n Factor of Safety: 1.38\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.1154349313147, + "fos_buckling": 1.3774237872732698, + "fos_yielding": 1.948285292910686, + "deflection": 0.005775320646184217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.481)" + }, + "parent_node_id": "node_361", + "improvement_over_parent": null + }, + "node_363": { + "node_id": "node_363", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 303.06 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.0599125145128, + "fos_buckling": 1.512583114905393, + "fos_yielding": 2.1842677418823238, + "deflection": 0.005160423673706366, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_362", + "improvement_over_parent": null + }, + "node_364": { + "node_id": "node_364", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_363", + "improvement_over_parent": null + }, + "node_365": { + "node_id": "node_365", + "content": "INITIAL DESIGN (Trace 52)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 239.31 kg\n Factor of Safety: 0.49\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.3108717201976, + "fos_buckling": 0.49453996884660384, + "fos_yielding": 1.6783330760342485, + "deflection": 0.010984658952944797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_366": { + "node_id": "node_366", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 242.12 kg\n Factor of Safety: 0.49\n Max Deflection: 9.91e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.11512769933813, + "fos_buckling": 0.4944367104283511, + "fos_yielding": 1.6781748653921067, + "deflection": 0.009907227007700381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_365", + "improvement_over_parent": null + }, + "node_367": { + "node_id": "node_367", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 278.50 kg\n Factor of Safety: 0.75\n Max Deflection: 5.77e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.49752515481725, + "fos_buckling": 0.7520936087945784, + "fos_yielding": 2.1613521357858487, + "deflection": 0.005765507263778117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_366", + "improvement_over_parent": null + }, + "node_368": { + "node_id": "node_368", + "content": "MODIFICATION: Increase 12 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 284.70 kg\n Factor of Safety: 0.75\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 284.7014499830415, + "fos_buckling": 0.7524462225952329, + "fos_yielding": 2.1757900403120947, + "deflection": 0.005722870924748823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.272)" + }, + "parent_node_id": "node_367", + "improvement_over_parent": null + }, + "node_369": { + "node_id": "node_369", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 305.01 kg\n Factor of Safety: 1.41\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.01478486506835, + "fos_buckling": 1.4119784389564929, + "fos_yielding": 2.2056864163581875, + "deflection": 0.005155405037274639, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_368", + "improvement_over_parent": null + }, + "node_370": { + "node_id": "node_370", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_369", + "improvement_over_parent": null + }, + "node_371": { + "node_id": "node_371", + "content": "INITIAL DESIGN (Trace 53)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n\nPerformance:\n Mass: 178.95 kg\n Factor of Safety: 0.90\n Max Deflection: 5.03e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.95102471356932, + "fos_buckling": 0.9031590227991997, + "fos_yielding": 1.9396357346331312, + "deflection": 5029972859681.253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_372": { + "node_id": "node_372", + "content": "MODIFICATION: Increase 12 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n\nPerformance:\n Mass: 184.19 kg\n Factor of Safety: 1.23\n Max Deflection: 4.37e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.18858063089297, + "fos_buckling": 1.2336630495024152, + "fos_yielding": 1.9396357346331312, + "deflection": 4368790204332.273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.560)" + }, + "parent_node_id": "node_371", + "improvement_over_parent": null + }, + "node_373": { + "node_id": "node_373", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 205.06 kg\n Factor of Safety: 0.91\n Max Deflection: 7.98e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.06378320795054, + "fos_buckling": 0.910618550860082, + "fos_yielding": 1.9396357346331312, + "deflection": 0.007977265614834021, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004011)" + }, + "parent_node_id": "node_372", + "improvement_over_parent": null + }, + "node_374": { + "node_id": "node_374", + "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 208.74 kg\n Factor of Safety: 0.91\n Max Deflection: 7.93e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.73618997207134, + "fos_buckling": 0.9098811742705126, + "fos_yielding": 1.9396357346331312, + "deflection": 0.007929157507661272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.261)" + }, + "parent_node_id": "node_373", + "improvement_over_parent": null + }, + "node_375": { + "node_id": "node_375", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 223.33 kg\n Factor of Safety: 0.92\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.3317487127339, + "fos_buckling": 0.9174071084851455, + "fos_yielding": 1.7733706579453206, + "deflection": 0.007417081112084165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003354)" + }, + "parent_node_id": "node_374", + "improvement_over_parent": null + }, + "node_376": { + "node_id": "node_376", + "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 225.87 kg\n Factor of Safety: 0.92\n Max Deflection: 7.38e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.86589681478674, + "fos_buckling": 0.9171473957623949, + "fos_yielding": 1.7745083593494697, + "deflection": 0.007384182127877354, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.196)" + }, + "parent_node_id": "node_375", + "improvement_over_parent": null + }, + "node_377": { + "node_id": "node_377", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 279.14 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.1431419137755, + "fos_buckling": 1.0914832147935534, + "fos_yielding": 2.1902751247766035, + "deflection": 0.006000454316741503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_376", + "improvement_over_parent": null + }, + "node_378": { + "node_id": "node_378", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.48 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4842699191524, + "fos_buckling": 1.5143114126459165, + "fos_yielding": 2.187447489575822, + "deflection": 0.005153570842508681, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_377", + "improvement_over_parent": null + }, + "node_379": { + "node_id": "node_379", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_378", + "improvement_over_parent": null + }, + "node_380": { + "node_id": "node_380", + "content": "INITIAL DESIGN (Trace 54)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 183.10 kg\n Factor of Safety: 0.36\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.09776081247264, + "fos_buckling": 0.3594538012252681, + "fos_yielding": 1.153368165743282, + "deflection": 0.013753580972194627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_381": { + "node_id": "node_381", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 237.31 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.31399690056298, + "fos_buckling": 0.44795666579560717, + "fos_yielding": 1.491417004099496, + "deflection": 0.010652306592856466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_380", + "improvement_over_parent": null + }, + "node_382": { + "node_id": "node_382", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 269.66 kg\n Factor of Safety: 1.38\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.6601515181744, + "fos_buckling": 1.3758891643085782, + "fos_yielding": 1.9450284242612683, + "deflection": 0.005784995707241299, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005273)" + }, + "parent_node_id": "node_381", + "improvement_over_parent": null + }, + "node_383": { + "node_id": "node_383", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5256789232137, + "fos_buckling": 1.5148424638765863, + "fos_yielding": 2.187609373351231, + "deflection": 0.005152797017095892, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_382", + "improvement_over_parent": null + }, + "node_384": { + "node_id": "node_384", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_383", + "improvement_over_parent": null + }, + "node_385": { + "node_id": "node_385", + "content": "INITIAL DESIGN (Trace 55)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 182.29 kg\n Factor of Safety: 0.24\n Max Deflection: 4.28e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.29246102453598, + "fos_buckling": 0.23721541376343588, + "fos_yielding": 0.5944283807757675, + "deflection": 42849476486147.47, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_386": { + "node_id": "node_386", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n Mass: 201.15 kg\n Factor of Safety: 0.06\n Max Deflection: 3.60e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.154015363392, + "fos_buckling": 0.05967004398417996, + "fos_yielding": 0.29721419038788377, + "deflection": 36042136603476.98, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003820)" + }, + "parent_node_id": "node_385", + "improvement_over_parent": null + }, + "node_387": { + "node_id": "node_387", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 222.10 kg\n Factor of Safety: 0.91\n Max Deflection: 7.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.1017290387522, + "fos_buckling": 0.9113129388133143, + "fos_yielding": 1.9413111344854281, + "deflection": 0.0072991668474591855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004026)" + }, + "parent_node_id": "node_386", + "improvement_over_parent": null + }, + "node_388": { + "node_id": "node_388", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 273.44 kg\n Factor of Safety: 1.08\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.44223385457036, + "fos_buckling": 1.0770328555868347, + "fos_yielding": 2.386216298569707, + "deflection": 0.005950889576567748, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_387", + "improvement_over_parent": null + }, + "node_389": { + "node_id": "node_389", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 291.47 kg\n Factor of Safety: 1.19\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.4740005398001, + "fos_buckling": 1.185928288722985, + "fos_yielding": 2.185189715850165, + "deflection": 0.005526066139171473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_388", + "improvement_over_parent": null + }, + "node_390": { + "node_id": "node_390", + "content": "MODIFICATION: Increase 10 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2296874484687, + "fos_buckling": 1.5133017657088137, + "fos_yielding": 2.185505726724234, + "deflection": 0.005157915935459602, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.524)" + }, + "parent_node_id": "node_389", + "improvement_over_parent": null + }, + "node_391": { + "node_id": "node_391", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_390", + "improvement_over_parent": null + }, + "node_392": { + "node_id": "node_392", + "content": "INITIAL DESIGN (Trace 56)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 271.96 kg\n Factor of Safety: 1.08\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 271.9626174386603, + "fos_buckling": 1.0794620642764907, + "fos_yielding": 2.396528688840159, + "deflection": 0.0059685184865594905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_393": { + "node_id": "node_393", + "content": "MODIFICATION: Increase 5 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 275.98 kg\n Factor of Safety: 1.08\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.97834174021824, + "fos_buckling": 1.0788295074469008, + "fos_yielding": 2.3959062192813874, + "deflection": 0.005969919539317007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.508)" + }, + "parent_node_id": "node_392", + "improvement_over_parent": null + }, + "node_394": { + "node_id": "node_394", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 294.01 kg\n Factor of Safety: 1.16\n Max Deflection: 5.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.010108425448, + "fos_buckling": 1.1619372711344456, + "fos_yielding": 2.18100278579732, + "deflection": 0.005522024309775038, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_393", + "improvement_over_parent": null + }, + "node_395": { + "node_id": "node_395", + "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41578260607344, + "fos_buckling": 1.5140679270331407, + "fos_yielding": 2.1869585023781957, + "deflection": 0.005154629861030673, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.618)" + }, + "parent_node_id": "node_394", + "improvement_over_parent": null + }, + "node_396": { + "node_id": "node_396", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_395", + "improvement_over_parent": null + }, + "node_397": { + "node_id": "node_397", + "content": "INITIAL DESIGN (Trace 57)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 157.57 kg\n Factor of Safety: 0.69\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.56999513054026, + "fos_buckling": 0.6899823738146362, + "fos_yielding": 1.2894603429754024, + "deflection": 0.010531671478351764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_398": { + "node_id": "node_398", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n\nPerformance:\n Mass: 171.75 kg\n Factor of Safety: 0.81\n Max Deflection: 9.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.75486788058785, + "fos_buckling": 0.8133786560264185, + "fos_yielding": 1.2880819998499424, + "deflection": 0.009077517531407987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.002748)" + }, + "parent_node_id": "node_397", + "improvement_over_parent": null + }, + "node_399": { + "node_id": "node_399", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n\nPerformance:\n Mass: 216.90 kg\n Factor of Safety: 1.01\n Max Deflection: 7.21e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.90286228900504, + "fos_buckling": 1.005006786297341, + "fos_yielding": 1.6244255342500227, + "deflection": 0.007212041526596072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_398", + "improvement_over_parent": null + }, + "node_400": { + "node_id": "node_400", + "content": "MODIFICATION: Increase 5 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n\nPerformance:\n Mass: 219.93 kg\n Factor of Safety: 1.07\n Max Deflection: 7.15e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.92623567133603, + "fos_buckling": 1.0714287835487664, + "fos_yielding": 1.610269619649839, + "deflection": 0.007154991649865626, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.511)" + }, + "parent_node_id": "node_399", + "improvement_over_parent": null + }, + "node_401": { + "node_id": "node_401", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n\nPerformance:\n Mass: 263.61 kg\n Factor of Safety: 1.25\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.6084274852967, + "fos_buckling": 1.2547393702349081, + "fos_yielding": 1.9278364838284208, + "deflection": 0.005988017738001466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_400", + "improvement_over_parent": null + }, + "node_402": { + "node_id": "node_402", + "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n\nPerformance:\n Mass: 267.50 kg\n Factor of Safety: 1.37\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.5026299665771, + "fos_buckling": 1.3665384927835, + "fos_yielding": 1.929812022927223, + "deflection": 0.005830896132708231, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.221)" + }, + "parent_node_id": "node_401", + "improvement_over_parent": null + }, + "node_403": { + "node_id": "node_403", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.29356454572485, + "fos_buckling": 1.5136596183111155, + "fos_yielding": 2.186228162120736, + "deflection": 0.005156824315673396, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_402", + "improvement_over_parent": null + }, + "node_404": { + "node_id": "node_404", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_403", + "improvement_over_parent": null + }, + "node_405": { + "node_id": "node_405", + "content": "INITIAL DESIGN (Trace 58)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n\nPerformance:\n Mass: 117.16 kg\n Factor of Safety: 0.99\n Max Deflection: 9.68e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.16138408186441, + "fos_buckling": 0.9888649916628197, + "fos_yielding": 1.2399755419515022, + "deflection": 9679201952681.516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_406": { + "node_id": "node_406", + "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n\nPerformance:\n Mass: 120.76 kg\n Factor of Safety: 0.54\n Max Deflection: 8.97e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.76394074508855, + "fos_buckling": 0.540242612992558, + "fos_yielding": 1.2399755419515022, + "deflection": 8967744334641.79, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.391)" + }, + "parent_node_id": "node_405", + "improvement_over_parent": null + }, + "node_407": { + "node_id": "node_407", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 134.10 kg\n Factor of Safety: 0.25\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.10225770465576, + "fos_buckling": 0.2527695526439509, + "fos_yielding": 0.568059323218354, + "deflection": 0.023630667224356538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002496)" + }, + "parent_node_id": "node_406", + "improvement_over_parent": null + }, + "node_408": { + "node_id": "node_408", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 154.62 kg\n Factor of Safety: 0.29\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.61548844751587, + "fos_buckling": 0.28718145166739995, + "fos_yielding": 0.6535677579398506, + "deflection": 0.020539648394607292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_407", + "improvement_over_parent": null + }, + "node_409": { + "node_id": "node_409", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 202.23 kg\n Factor of Safety: 0.36\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.22917203993717, + "fos_buckling": 0.3627691470640816, + "fos_yielding": 0.8506551447107127, + "deflection": 0.0157820072753821, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_408", + "improvement_over_parent": null + }, + "node_410": { + "node_id": "node_410", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 259.52 kg\n Factor of Safety: 0.45\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.51993953225616, + "fos_buckling": 0.44584932418732676, + "fos_yielding": 1.0852601431651883, + "deflection": 0.012371438102760585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_409", + "improvement_over_parent": null + }, + "node_411": { + "node_id": "node_411", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 285.61 kg\n Factor of Safety: 1.08\n Max Deflection: 5.57e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.6077318150323, + "fos_buckling": 1.0773580433284766, + "fos_yielding": 2.39790401311189, + "deflection": 0.005573736044336851, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_410", + "improvement_over_parent": null + }, + "node_412": { + "node_id": "node_412", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.64 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.63949850026205, + "fos_buckling": 1.515045630303816, + "fos_yielding": 2.188793880236585, + "deflection": 0.005151015426372621, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_411", + "improvement_over_parent": null + }, + "node_413": { + "node_id": "node_413", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_412", + "improvement_over_parent": null + }, + "node_414": { + "node_id": "node_414", + "content": "INITIAL DESIGN (Trace 59)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 282.66 kg\n Factor of Safety: 0.92\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.66101816840575, + "fos_buckling": 0.9205034569455681, + "fos_yielding": 1.7076675115365503, + "deflection": 0.006701376937891742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_415": { + "node_id": "node_415", + "content": "MODIFICATION: Increase 13 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 287.76 kg\n Factor of Safety: 0.92\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.76374245705586, + "fos_buckling": 0.9169400396187408, + "fos_yielding": 1.682818111032061, + "deflection": 0.006622960658616234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.653)" + }, + "parent_node_id": "node_414", + "improvement_over_parent": null + }, + "node_416": { + "node_id": "node_416", + "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 292.35 kg\n Factor of Safety: 0.92\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.3452221203604, + "fos_buckling": 0.9150716772078398, + "fos_yielding": 1.6691978765056381, + "deflection": 0.006580228660013444, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.374)" + }, + "parent_node_id": "node_415", + "improvement_over_parent": null + }, + "node_417": { + "node_id": "node_417", + "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.35 kg\n Factor of Safety: 0.89\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.3515228906814, + "fos_buckling": 0.8917215176806087, + "fos_yielding": 1.6679640893836787, + "deflection": 0.006570136964350414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.506)" + }, + "parent_node_id": "node_416", + "improvement_over_parent": null + }, + "node_418": { + "node_id": "node_418", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 300.93 kg\n Factor of Safety: 1.29\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.9257225556576, + "fos_buckling": 1.291850688437559, + "fos_yielding": 1.6894791623954062, + "deflection": 0.005199764797844495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_417", + "improvement_over_parent": null + }, + "node_419": { + "node_id": "node_419", + "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0080)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 311.70 kg\n Factor of Safety: 1.29\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 311.69572288663636, + "fos_buckling": 1.2919069320892815, + "fos_yielding": 1.6895527177052059, + "deflection": 0.004999649155196869, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.337)" + }, + "parent_node_id": "node_418", + "improvement_over_parent": null + }, + "node_420": { + "node_id": "node_420", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_419", + "improvement_over_parent": null + }, + "node_421": { + "node_id": "node_421", + "content": "INITIAL DESIGN (Trace 60)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 171.32 kg\n Factor of Safety: 0.70\n Max Deflection: 9.17e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.31599773477478, + "fos_buckling": 0.7009001054539475, + "fos_yielding": 0.8600907681591816, + "deflection": 0.009171157999716023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_422": { + "node_id": "node_422", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 213.63 kg\n Factor of Safety: 0.86\n Max Deflection: 7.37e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.62818706282437, + "fos_buckling": 0.8630431932263771, + "fos_yielding": 1.0760676545115653, + "deflection": 0.007374743544487741, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_421", + "improvement_over_parent": null + }, + "node_423": { + "node_id": "node_423", + "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 217.72 kg\n Factor of Safety: 0.86\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.71950167501623, + "fos_buckling": 0.8641128035693936, + "fos_yielding": 1.0774012761681457, + "deflection": 0.007108057085166237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.284)" + }, + "parent_node_id": "node_422", + "improvement_over_parent": null + }, + "node_424": { + "node_id": "node_424", + "content": "MODIFICATION: Increase 9 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 220.51 kg\n Factor of Safety: 0.96\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.50850995813084, + "fos_buckling": 0.9621431887974653, + "fos_yielding": 1.6380510454065618, + "deflection": 0.007003762965032674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.582)" + }, + "parent_node_id": "node_423", + "improvement_over_parent": null + }, + "node_425": { + "node_id": "node_425", + "content": "MODIFICATION: Increase 13 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 226.52 kg\n Factor of Safety: 1.19\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.51895216595358, + "fos_buckling": 1.1878900021923386, + "fos_yielding": 1.6344770917340317, + "deflection": 0.006864031725925047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.567)" + }, + "parent_node_id": "node_424", + "improvement_over_parent": null + }, + "node_426": { + "node_id": "node_426", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 272.63 kg\n Factor of Safety: 1.39\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.6285648623816, + "fos_buckling": 1.388140757908223, + "fos_yielding": 1.9651407004846015, + "deflection": 0.0057232123238304435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_425", + "improvement_over_parent": null + }, + "node_427": { + "node_id": "node_427", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.64 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.63739768584173, + "fos_buckling": 1.515057563857488, + "fos_yielding": 2.1871270780569794, + "deflection": 0.00515086452754935, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_426", + "improvement_over_parent": null + }, + "node_428": { + "node_id": "node_428", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_427", + "improvement_over_parent": null + }, + "node_429": { + "node_id": "node_429", + "content": "INITIAL DESIGN (Trace 61)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 257.76 kg\n Factor of Safety: 0.92\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.7578475892577, + "fos_buckling": 0.9217363496450984, + "fos_yielding": 1.531317639615265, + "deflection": 0.006687435267106423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_430": { + "node_id": "node_430", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 282.10 kg\n Factor of Safety: 0.89\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.0989755946346, + "fos_buckling": 0.8894460026763082, + "fos_yielding": 1.5296121827385631, + "deflection": 0.006676781949059603, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_429", + "improvement_over_parent": null + }, + "node_431": { + "node_id": "node_431", + "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 288.49 kg\n Factor of Safety: 0.89\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.4871863332165, + "fos_buckling": 0.8932011880954193, + "fos_yielding": 1.5515558926823025, + "deflection": 0.006585320797900371, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.597)" + }, + "parent_node_id": "node_430", + "improvement_over_parent": null + }, + "node_432": { + "node_id": "node_432", + "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 289.73 kg\n Factor of Safety: 0.89\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 289.7294083567039, + "fos_buckling": 0.8917944982711399, + "fos_yielding": 1.797196333781199, + "deflection": 0.006552039004140463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.178)" + }, + "parent_node_id": "node_431", + "improvement_over_parent": null + }, + "node_433": { + "node_id": "node_433", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 295.30 kg\n Factor of Safety: 1.38\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.30360802168013, + "fos_buckling": 1.375028291308839, + "fos_yielding": 1.8176293399935126, + "deflection": 0.005236327625977926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_432", + "improvement_over_parent": null + }, + "node_434": { + "node_id": "node_434", + "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0074)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 302.74 kg\n Factor of Safety: 1.38\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.7354460504123, + "fos_buckling": 1.3750602691846463, + "fos_yielding": 1.8176716110694355, + "deflection": 0.005090291500286751, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.230)" + }, + "parent_node_id": "node_433", + "improvement_over_parent": null + }, + "node_435": { + "node_id": "node_435", + "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0074)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 310.34 kg\n Factor of Safety: 1.36\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 310.34467787682445, + "fos_buckling": 1.364062362261413, + "fos_yielding": 1.8031336423392368, + "deflection": 0.0050546991943362105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.488)" + }, + "parent_node_id": "node_434", + "improvement_over_parent": null + }, + "node_436": { + "node_id": "node_436", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_435", + "improvement_over_parent": null + }, + "node_437": { + "node_id": "node_437", + "content": "INITIAL DESIGN (Trace 62)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 169.90 kg\n Factor of Safety: 0.55\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.90022079714095, + "fos_buckling": 0.5484846197367148, + "fos_yielding": 1.45502564893866, + "deflection": 0.010930899932854482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_438": { + "node_id": "node_438", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 185.94 kg\n Factor of Safety: 0.80\n Max Deflection: 9.23e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.93940432477382, + "fos_buckling": 0.8012833846646016, + "fos_yielding": 1.5106746722982265, + "deflection": 0.009226440160153724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003212)" + }, + "parent_node_id": "node_437", + "improvement_over_parent": null + }, + "node_439": { + "node_id": "node_439", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n\nPerformance:\n Mass: 202.75 kg\n Factor of Safety: 0.82\n Max Deflection: 7.97e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.7483394650746, + "fos_buckling": 0.8219415749426081, + "fos_yielding": 1.5089220969318604, + "deflection": 0.00797496787910591, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003288)" + }, + "parent_node_id": "node_438", + "improvement_over_parent": null + }, + "node_440": { + "node_id": "node_440", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n\nPerformance:\n Mass: 243.28 kg\n Factor of Safety: 0.97\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.27523052453105, + "fos_buckling": 0.971782708141727, + "fos_yielding": 1.8083925725511112, + "deflection": 0.0066629952975665535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_439", + "improvement_over_parent": null + }, + "node_441": { + "node_id": "node_441", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 293.68 kg\n Factor of Safety: 1.15\n Max Deflection: 5.54e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.6759298458535, + "fos_buckling": 1.151483898620163, + "fos_yielding": 2.1797929822138276, + "deflection": 0.00553631589034913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_440", + "improvement_over_parent": null + }, + "node_442": { + "node_id": "node_442", + "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.28 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.27817917023657, + "fos_buckling": 1.513513728540537, + "fos_yielding": 2.185939852810923, + "deflection": 0.005157021214616648, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.639)" + }, + "parent_node_id": "node_441", + "improvement_over_parent": null + }, + "node_443": { + "node_id": "node_443", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_442", + "improvement_over_parent": null + }, + "node_444": { + "node_id": "node_444", + "content": "INITIAL DESIGN (Trace 63)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 188.11 kg\n Factor of Safety: 0.36\n Max Deflection: 4.91e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.10973973557424, + "fos_buckling": 0.35840510695130434, + "fos_yielding": 1.229434717617972, + "deflection": 4905692643623.595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_445": { + "node_id": "node_445", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 190.28 kg\n Factor of Safety: 0.36\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.27972514068034, + "fos_buckling": 0.3606395561703958, + "fos_yielding": 1.4348644295088169, + "deflection": 0.015560622500282126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001786)" + }, + "parent_node_id": "node_444", + "improvement_over_parent": null + }, + "node_446": { + "node_id": "node_446", + "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 194.69 kg\n Factor of Safety: 0.36\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.68708503706375, + "fos_buckling": 0.36052090580321083, + "fos_yielding": 1.4347589417943782, + "deflection": 0.015483194541070456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.307)" + }, + "parent_node_id": "node_445", + "improvement_over_parent": null + }, + "node_447": { + "node_id": "node_447", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n\nPerformance:\n Mass: 214.88 kg\n Factor of Safety: 0.43\n Max Deflection: 8.60e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.88019420876526, + "fos_buckling": 0.4321686485393459, + "fos_yielding": 1.433310579360393, + "deflection": 0.008601013139323429, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004129)" + }, + "parent_node_id": "node_446", + "improvement_over_parent": null + }, + "node_448": { + "node_id": "node_448", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 277.72 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.71923108918736, + "fos_buckling": 0.5320930530908123, + "fos_yielding": 1.848015998385193, + "deflection": 0.006701587449893575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_447", + "improvement_over_parent": null + }, + "node_449": { + "node_id": "node_449", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.50985863160133, + "fos_buckling": 1.5145732790084623, + "fos_yielding": 2.1876883603619843, + "deflection": 0.005153135545824686, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_448", + "improvement_over_parent": null + }, + "node_450": { + "node_id": "node_450", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_449", + "improvement_over_parent": null + }, + "node_451": { + "node_id": "node_451", + "content": "INITIAL DESIGN (Trace 64)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 219.58 kg\n Factor of Safety: 0.43\n Max Deflection: 8.86e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.57546071975213, + "fos_buckling": 0.42618157140228313, + "fos_yielding": 1.8509496923001638, + "deflection": 0.00886390789278284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_452": { + "node_id": "node_452", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 242.80 kg\n Factor of Safety: 0.53\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.7989811009001, + "fos_buckling": 0.5337741187558187, + "fos_yielding": 1.8488042571933903, + "deflection": 0.007532484617241274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_451", + "improvement_over_parent": null + }, + "node_453": { + "node_id": "node_453", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 262.34 kg\n Factor of Safety: 1.09\n Max Deflection: 6.36e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.342362049652, + "fos_buckling": 1.0924516518956782, + "fos_yielding": 2.128802904157829, + "deflection": 0.006361045569233595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003737)" + }, + "parent_node_id": "node_452", + "improvement_over_parent": null + }, + "node_454": { + "node_id": "node_454", + "content": "MODIFICATION: Increase 14 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 268.59 kg\n Factor of Safety: 1.09\n Max Deflection: 6.29e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 268.59279946304684, + "fos_buckling": 1.0921981623860835, + "fos_yielding": 2.128802904157829, + "deflection": 0.006287933436021351, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.351)" + }, + "parent_node_id": "node_453", + "improvement_over_parent": null + }, + "node_455": { + "node_id": "node_455", + "content": "MODIFICATION: Increase 4 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 276.17 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.1715524179209, + "fos_buckling": 1.0912770738198492, + "fos_yielding": 2.128802904157829, + "deflection": 0.0060015895974806395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.449)" + }, + "parent_node_id": "node_454", + "improvement_over_parent": null + }, + "node_456": { + "node_id": "node_456", + "content": "MODIFICATION: Increase 6 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 279.09 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.08673992873946, + "fos_buckling": 1.0912770738198492, + "fos_yielding": 2.189780040273676, + "deflection": 0.0060015895974806395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.484)" + }, + "parent_node_id": "node_455", + "improvement_over_parent": null + }, + "node_457": { + "node_id": "node_457", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.42786793411636, + "fos_buckling": 1.5141025029679072, + "fos_yielding": 2.1869527226216654, + "deflection": 0.0051544109796413514, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_456", + "improvement_over_parent": null + }, + "node_458": { + "node_id": "node_458", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_457", + "improvement_over_parent": null + }, + "node_459": { + "node_id": "node_459", + "content": "INITIAL DESIGN (Trace 65)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 198.71 kg\n Factor of Safety: 1.09\n Max Deflection: 8.08e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.71239416245308, + "fos_buckling": 1.0909832661098322, + "fos_yielding": 1.485566125539239, + "deflection": 0.008084649372405635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_460": { + "node_id": "node_460", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 257.39 kg\n Factor of Safety: 1.36\n Max Deflection: 6.26e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.38852712517297, + "fos_buckling": 1.358694548916746, + "fos_yielding": 1.9206454829053539, + "deflection": 0.006264885132808887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_459", + "improvement_over_parent": null + }, + "node_461": { + "node_id": "node_461", + "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 259.76 kg\n Factor of Safety: 1.36\n Max Deflection: 6.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.7568301899425, + "fos_buckling": 1.35628283565174, + "fos_yielding": 1.9302985931353507, + "deflection": 0.006225390456108898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.189)" + }, + "parent_node_id": "node_460", + "improvement_over_parent": null + }, + "node_462": { + "node_id": "node_462", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.06 kg\n Factor of Safety: 1.50\n Max Deflection: 5.49e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 295.06190567478893, + "fos_buckling": 1.5035702643001356, + "fos_yielding": 2.1902943768979863, + "deflection": 0.005492386614037682, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_461", + "improvement_over_parent": null + }, + "node_463": { + "node_id": "node_463", + "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.10 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.10440819787743, + "fos_buckling": 1.5128460086453208, + "fos_yielding": 2.1847019993506134, + "deflection": 0.005159774220654436, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.460)" + }, + "parent_node_id": "node_462", + "improvement_over_parent": null + }, + "node_464": { + "node_id": "node_464", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_463", + "improvement_over_parent": null + }, + "node_465": { + "node_id": "node_465", + "content": "INITIAL DESIGN (Trace 66)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 214.43 kg\n Factor of Safety: 0.95\n Max Deflection: 7.86e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.43400629809244, + "fos_buckling": 0.9463142964426157, + "fos_yielding": 2.033766916660883, + "deflection": 0.007860693741975502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_466": { + "node_id": "node_466", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 252.79 kg\n Factor of Safety: 1.08\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.7914085269219, + "fos_buckling": 1.0796120277710881, + "fos_yielding": 2.396128623650443, + "deflection": 0.0066893745138855865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_465", + "improvement_over_parent": null + }, + "node_467": { + "node_id": "node_467", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 270.82 kg\n Factor of Safety: 1.09\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.8231752121516, + "fos_buckling": 1.0916187373966078, + "fos_yielding": 2.1580485943745424, + "deflection": 0.006102983734421634, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_466", + "improvement_over_parent": null + }, + "node_468": { + "node_id": "node_468", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 295.16 kg\n Factor of Safety: 1.38\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.1643032175285, + "fos_buckling": 1.376718426137979, + "fos_yielding": 2.0171409988405067, + "deflection": 0.005305546093260203, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_467", + "improvement_over_parent": null + }, + "node_469": { + "node_id": "node_469", + "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 297.04 kg\n Factor of Safety: 1.42\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.0377881800301, + "fos_buckling": 1.4239438408576286, + "fos_yielding": 2.1554401309457316, + "deflection": 0.005254884509897181, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.269)" + }, + "parent_node_id": "node_468", + "improvement_over_parent": null + }, + "node_470": { + "node_id": "node_470", + "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.42871548121417, + "fos_buckling": 1.5141718612673056, + "fos_yielding": 2.1871110385263144, + "deflection": 0.005154409297896632, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.597)" + }, + "parent_node_id": "node_469", + "improvement_over_parent": null + }, + "node_471": { + "node_id": "node_471", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_470", + "improvement_over_parent": null + }, + "node_472": { + "node_id": "node_472", + "content": "INITIAL DESIGN (Trace 67)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 205.39 kg\n Factor of Safety: 0.62\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.38828860254083, + "fos_buckling": 0.615905019728546, + "fos_yielding": 1.787634119703551, + "deflection": 0.015152906636301682, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_473": { + "node_id": "node_473", + "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 210.95 kg\n Factor of Safety: 0.62\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.94668083897986, + "fos_buckling": 0.6156470040906594, + "fos_yielding": 1.7868852419660293, + "deflection": 0.014535436396254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.387)" + }, + "parent_node_id": "node_472", + "improvement_over_parent": null + }, + "node_474": { + "node_id": "node_474", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 262.42 kg\n Factor of Safety: 0.74\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.4177924246954, + "fos_buckling": 0.7384066933369617, + "fos_yielding": 2.2188098825496283, + "deflection": 0.011704683030081738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_473", + "improvement_over_parent": null + }, + "node_475": { + "node_id": "node_475", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 267.99 kg\n Factor of Safety: 1.13\n Max Deflection: 6.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.9919920896716, + "fos_buckling": 1.1335132296405008, + "fos_yielding": 2.234110737314421, + "deflection": 0.006227953794570392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_474", + "improvement_over_parent": null + }, + "node_476": { + "node_id": "node_476", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 291.22 kg\n Factor of Safety: 1.48\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.2155124708196, + "fos_buckling": 1.4771701672560347, + "fos_yielding": 2.2042363150471327, + "deflection": 0.005619679292684008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_475", + "improvement_over_parent": null + }, + "node_477": { + "node_id": "node_477", + "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 293.53 kg\n Factor of Safety: 1.48\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.5295181530565, + "fos_buckling": 1.4786983052147957, + "fos_yielding": 2.194996736517982, + "deflection": 0.005600900202014607, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.245)" + }, + "parent_node_id": "node_476", + "improvement_over_parent": null + }, + "node_478": { + "node_id": "node_478", + "content": "MODIFICATION: Increase 1 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 299.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.30e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 299.4287015592022, + "fos_buckling": 1.5121132619862492, + "fos_yielding": 2.1899426442412366, + "deflection": 0.005295635349023654, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.368)" + }, + "parent_node_id": "node_477", + "improvement_over_parent": null + }, + "node_479": { + "node_id": "node_479", + "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.48 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.48465354843654, + "fos_buckling": 1.5143625914105252, + "fos_yielding": 2.187506325997237, + "deflection": 0.0051533165381828245, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.192)" + }, + "parent_node_id": "node_478", + "improvement_over_parent": null + }, + "node_480": { + "node_id": "node_480", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_479", + "improvement_over_parent": null + }, + "node_481": { + "node_id": "node_481", + "content": "INITIAL DESIGN (Trace 68)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 156.39 kg\n Factor of Safety: 0.28\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.3894235734237, + "fos_buckling": 0.2798427902433559, + "fos_yielding": 0.8372099476347229, + "deflection": 0.01846607863442121, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_482": { + "node_id": "node_482", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 184.71 kg\n Factor of Safety: 0.32\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.71165729857657, + "fos_buckling": 0.32399502837665256, + "fos_yielding": 0.9860067326471119, + "deflection": 0.015678616697101293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_481", + "improvement_over_parent": null + }, + "node_483": { + "node_id": "node_483", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n\nPerformance:\n Mass: 202.55 kg\n Factor of Safety: 0.96\n Max Deflection: 7.65e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.55320716906488, + "fos_buckling": 0.9626961115244531, + "fos_yielding": 1.2152449081873105, + "deflection": 0.007648796053128841, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003618)" + }, + "parent_node_id": "node_482", + "improvement_over_parent": null + }, + "node_484": { + "node_id": "node_484", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n\nPerformance:\n Mass: 227.18 kg\n Factor of Safety: 1.07\n Max Deflection: 6.83e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.17715191998596, + "fos_buckling": 1.0682761579396973, + "fos_yielding": 1.3641559785746542, + "deflection": 0.0068325729697521756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_483", + "improvement_over_parent": null + }, + "node_485": { + "node_id": "node_485", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 296.24 kg\n Factor of Safety: 1.35\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.23706988065345, + "fos_buckling": 1.3510398407305615, + "fos_yielding": 1.7835970222591977, + "deflection": 0.005267323888296107, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_484", + "improvement_over_parent": null + }, + "node_486": { + "node_id": "node_486", + "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 298.80 kg\n Factor of Safety: 1.36\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.8016944356366, + "fos_buckling": 1.3597591471662962, + "fos_yielding": 1.7951079551910736, + "deflection": 0.005222722730234379, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.215)" + }, + "parent_node_id": "node_485", + "improvement_over_parent": null + }, + "node_487": { + "node_id": "node_487", + "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0074)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 306.61 kg\n Factor of Safety: 1.36\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 306.6114643847166, + "fos_buckling": 1.359802073062941, + "fos_yielding": 1.7951646245054238, + "deflection": 0.0050694531955972795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.242)" + }, + "parent_node_id": "node_486", + "improvement_over_parent": null + }, + "node_488": { + "node_id": "node_488", + "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0074)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 309.28 kg\n Factor of Safety: 1.37\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 309.2841136904953, + "fos_buckling": 1.3667545553826235, + "fos_yielding": 1.8043430561022225, + "deflection": 0.0050343546694438975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.190)" + }, + "parent_node_id": "node_487", + "improvement_over_parent": null + }, + "node_489": { + "node_id": "node_489", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_488", + "improvement_over_parent": null + }, + "node_490": { + "node_id": "node_490", + "content": "INITIAL DESIGN (Trace 69)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 212.90 kg\n Factor of Safety: 1.14\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.90378152078262, + "fos_buckling": 1.1411370070863514, + "fos_yielding": 1.5741750028768777, + "deflection": 0.007237574640032846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_491": { + "node_id": "node_491", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 251.42 kg\n Factor of Safety: 1.31\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.41628548373066, + "fos_buckling": 1.314352950655545, + "fos_yielding": 1.8569782379754085, + "deflection": 0.006147596597303595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_490", + "improvement_over_parent": null + }, + "node_492": { + "node_id": "node_492", + "content": "MODIFICATION: Increase 14 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 255.31 kg\n Factor of Safety: 1.31\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.30719815338483, + "fos_buckling": 1.3144572607280511, + "fos_yielding": 1.8422350181203169, + "deflection": 0.0061036298178812655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.372)" + }, + "parent_node_id": "node_491", + "improvement_over_parent": null + }, + "node_493": { + "node_id": "node_493", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.20 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.1963980919985, + "fos_buckling": 1.513209945183587, + "fos_yielding": 2.18540466206328, + "deflection": 0.005158338801996505, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_492", + "improvement_over_parent": null + }, + "node_494": { + "node_id": "node_494", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_493", + "improvement_over_parent": null + }, + "node_495": { + "node_id": "node_495", + "content": "INITIAL DESIGN (Trace 70)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 240.84 kg\n Factor of Safety: 0.91\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.83547812975021, + "fos_buckling": 0.9066349219118197, + "fos_yielding": 2.159488377329746, + "deflection": 0.007092873926337135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_496": { + "node_id": "node_496", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 261.15 kg\n Factor of Safety: 1.09\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.148813011777, + "fos_buckling": 1.0925365475863102, + "fos_yielding": 2.186561090412544, + "deflection": 0.006369357929484403, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_495", + "improvement_over_parent": null + }, + "node_497": { + "node_id": "node_497", + "content": "MODIFICATION: Increase 14 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0062)]\n\nPerformance:\n Mass: 267.88 kg\n Factor of Safety: 1.09\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.882462313356, + "fos_buckling": 1.0917175852266192, + "fos_yielding": 2.1884266090323097, + "deflection": 0.006318387746947845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.379)" + }, + "parent_node_id": "node_496", + "improvement_over_parent": null + }, + "node_498": { + "node_id": "node_498", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0062)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 292.22 kg\n Factor of Safety: 1.23\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.2235903187329, + "fos_buckling": 1.2318922696781909, + "fos_yielding": 2.185918704599285, + "deflection": 0.005493412748903884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_497", + "improvement_over_parent": null + }, + "node_499": { + "node_id": "node_499", + "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0062)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 298.78 kg\n Factor of Safety: 1.24\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.7804297705317, + "fos_buckling": 1.2413600577751596, + "fos_yielding": 2.1820194891358815, + "deflection": 0.005250501068693877, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.348)" + }, + "parent_node_id": "node_498", + "improvement_over_parent": null + }, + "node_500": { + "node_id": "node_500", + "content": "MODIFICATION: Increase 14 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0086)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 307.45 kg\n Factor of Safety: 1.23\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 307.4459326501428, + "fos_buckling": 1.234313638699236, + "fos_yielding": 2.183171412538113, + "deflection": 0.005224897615587748, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.391)" + }, + "parent_node_id": "node_499", + "improvement_over_parent": null + }, + "node_501": { + "node_id": "node_501", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_500", + "improvement_over_parent": null + }, + "node_502": { + "node_id": "node_502", + "content": "INITIAL DESIGN (Trace 71)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 212.94 kg\n Factor of Safety: 0.72\n Max Deflection: 1.28e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.94457819095368, + "fos_buckling": 0.7240524228838728, + "fos_yielding": 2.646014189389167, + "deflection": 12771331395967.781, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_503": { + "node_id": "node_503", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 249.33 kg\n Factor of Safety: 0.45\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.3269756464328, + "fos_buckling": 0.4461809990961305, + "fos_yielding": 1.1061480678521567, + "deflection": 0.01249447379508839, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_502", + "improvement_over_parent": null + }, + "node_504": { + "node_id": "node_504", + "content": "MODIFICATION: Increase 7 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 250.03 kg\n Factor of Safety: 0.45\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.03140765441594, + "fos_buckling": 0.4461576096731238, + "fos_yielding": 1.4240014777284944, + "deflection": 0.012245348066090784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.368)" + }, + "parent_node_id": "node_503", + "improvement_over_parent": null + }, + "node_505": { + "node_id": "node_505", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 276.12 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.1191999371921, + "fos_buckling": 1.091544192407202, + "fos_yielding": 2.189823245920662, + "deflection": 0.00600044245167662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_504", + "improvement_over_parent": null + }, + "node_506": { + "node_id": "node_506", + "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 279.08 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.0849735222361, + "fos_buckling": 1.0913040381644241, + "fos_yielding": 2.189770182204964, + "deflection": 0.00600173028984498, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.230)" + }, + "parent_node_id": "node_505", + "improvement_over_parent": null + }, + "node_507": { + "node_id": "node_507", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.426101527613, + "fos_buckling": 1.5141431468109559, + "fos_yielding": 2.1869435133362236, + "deflection": 0.005154568100248527, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_506", + "improvement_over_parent": null + }, + "node_508": { + "node_id": "node_508", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_507", + "improvement_over_parent": null + }, + "node_509": { + "node_id": "node_509", + "content": "INITIAL DESIGN (Trace 72)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 194.91 kg\n Factor of Safety: 0.81\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.91346943480477, + "fos_buckling": 0.8075168258720391, + "fos_yielding": 1.449011753231294, + "deflection": 0.008264499911799887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_510": { + "node_id": "node_510", + "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 201.11 kg\n Factor of Safety: 1.07\n Max Deflection: 7.72e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.1123276939, + "fos_buckling": 1.0715871320291765, + "fos_yielding": 1.4530069792147056, + "deflection": 0.007716636491670623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.592)" + }, + "parent_node_id": "node_509", + "improvement_over_parent": null + }, + "node_511": { + "node_id": "node_511", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 261.76 kg\n Factor of Safety: 1.34\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.76151783321484, + "fos_buckling": 1.3421508842441023, + "fos_yielding": 1.8885715166090238, + "deflection": 0.005956241501288234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_510", + "improvement_over_parent": null + }, + "node_512": { + "node_id": "node_512", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.22550564466314, + "fos_buckling": 1.513370241213658, + "fos_yielding": 2.1856604109026434, + "deflection": 0.005158009334506601, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_511", + "improvement_over_parent": null + }, + "node_513": { + "node_id": "node_513", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_512", + "improvement_over_parent": null + }, + "node_514": { + "node_id": "node_514", + "content": "INITIAL DESIGN (Trace 73)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 231.71 kg\n Factor of Safety: 1.03\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.71036226196767, + "fos_buckling": 1.028207383591075, + "fos_yielding": 1.6992968051406767, + "deflection": 0.006848540838256718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_515": { + "node_id": "node_515", + "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 236.00 kg\n Factor of Safety: 1.02\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.99907487554717, + "fos_buckling": 1.0232927759672992, + "fos_yielding": 1.698379575183437, + "deflection": 0.006730052780105663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.490)" + }, + "parent_node_id": "node_514", + "improvement_over_parent": null + }, + "node_516": { + "node_id": "node_516", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 238.24 kg\n Factor of Safety: 1.31\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.24139610214638, + "fos_buckling": 1.3055836470674294, + "fos_yielding": 1.750988334447622, + "deflection": 0.006637773257740863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001850)" + }, + "parent_node_id": "node_515", + "improvement_over_parent": null + }, + "node_517": { + "node_id": "node_517", + "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 242.61 kg\n Factor of Safety: 1.26\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.6122266130223, + "fos_buckling": 1.2591969278079507, + "fos_yielding": 1.7511309540663558, + "deflection": 0.006416737815258209, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.292)" + }, + "parent_node_id": "node_516", + "improvement_over_parent": null + }, + "node_518": { + "node_id": "node_518", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5989796424498, + "fos_buckling": 1.5147241848992226, + "fos_yielding": 2.188277258408469, + "deflection": 0.005151612665819464, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_517", + "improvement_over_parent": null + }, + "node_519": { + "node_id": "node_519", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_518", + "improvement_over_parent": null + }, + "node_520": { + "node_id": "node_520", + "content": "INITIAL DESIGN (Trace 74)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 238.66 kg\n Factor of Safety: 1.31\n Max Deflection: 6.75e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.66325038513997, + "fos_buckling": 1.305772195232967, + "fos_yielding": 1.7888279052085378, + "deflection": 0.006753202984605093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_521": { + "node_id": "node_521", + "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 243.04 kg\n Factor of Safety: 1.33\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.04052418472946, + "fos_buckling": 1.3282890552972633, + "fos_yielding": 1.7861207586179821, + "deflection": 0.006509468710098901, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.264)" + }, + "parent_node_id": "node_520", + "improvement_over_parent": null + }, + "node_522": { + "node_id": "node_522", + "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 247.49 kg\n Factor of Safety: 1.28\n Max Deflection: 6.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.49054479081917, + "fos_buckling": 1.280791862071652, + "fos_yielding": 1.7862649528534957, + "deflection": 0.00629302493016501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.292)" + }, + "parent_node_id": "node_521", + "improvement_over_parent": null + }, + "node_523": { + "node_id": "node_523", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.38800811756613, + "fos_buckling": 1.5141879659305257, + "fos_yielding": 2.1869133302173625, + "deflection": 0.005155454258939161, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_522", + "improvement_over_parent": null + }, + "node_524": { + "node_id": "node_524", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_523", + "improvement_over_parent": null + }, + "node_525": { + "node_id": "node_525", + "content": "INITIAL DESIGN (Trace 75)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 193.34 kg\n Factor of Safety: 0.40\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.34262546993554, + "fos_buckling": 0.4038903926037305, + "fos_yielding": 1.3177608177582705, + "deflection": 0.012389407649561746, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_526": { + "node_id": "node_526", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n Mass: 221.85 kg\n Factor of Safety: 0.74\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.85100162036676, + "fos_buckling": 0.7378919809491814, + "fos_yielding": 1.6959021504552299, + "deflection": 0.007114906151977048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004601)" + }, + "parent_node_id": "node_525", + "improvement_over_parent": null + }, + "node_527": { + "node_id": "node_527", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n\nPerformance:\n Mass: 231.72 kg\n Factor of Safety: 1.16\n Max Deflection: 6.63e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.72322928940406, + "fos_buckling": 1.1571797180409658, + "fos_yielding": 1.71328462176173, + "deflection": 0.0066308108812061055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002076)" + }, + "parent_node_id": "node_526", + "improvement_over_parent": null + }, + "node_528": { + "node_id": "node_528", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n\nPerformance:\n Mass: 296.00 kg\n Factor of Safety: 1.42\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.0013922284419, + "fos_buckling": 1.4243806621911916, + "fos_yielding": 2.184594180421377, + "deflection": 0.005216404229684983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_527", + "improvement_over_parent": null + }, + "node_529": { + "node_id": "node_529", + "content": "MODIFICATION: Increase 12 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0070)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n\nPerformance:\n Mass: 306.05 kg\n Factor of Safety: 1.42\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 306.0547081028125, + "fos_buckling": 1.4161837243254518, + "fos_yielding": 2.1614524395444468, + "deflection": 0.005168589455067105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.656)" + }, + "parent_node_id": "node_528", + "improvement_over_parent": null + }, + "node_530": { + "node_id": "node_530", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_529", + "improvement_over_parent": null + }, + "node_531": { + "node_id": "node_531", + "content": "INITIAL DESIGN (Trace 76)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_532": { + "node_id": "node_532", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n\nPerformance:\n Mass: 188.64 kg\n Factor of Safety: 0.77\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.64364530478264, + "fos_buckling": 0.765163746178501, + "fos_yielding": 1.5845417683033458, + "deflection": 0.008369306261269747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002434)" + }, + "parent_node_id": "node_531", + "improvement_over_parent": null + }, + "node_533": { + "node_id": "node_533", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 236.28 kg\n Factor of Safety: 0.93\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.2772059575748, + "fos_buckling": 0.9251543838055278, + "fos_yielding": 1.9841484172249264, + "deflection": 0.006709179509866095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_532", + "improvement_over_parent": null + }, + "node_534": { + "node_id": "node_534", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 285.12 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.12205363355196, + "fos_buckling": 1.0758408400453086, + "fos_yielding": 2.393708213135334, + "deflection": 0.005582868468195632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_533", + "improvement_over_parent": null + }, + "node_535": { + "node_id": "node_535", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.15 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.1538203187817, + "fos_buckling": 1.5129587623048735, + "fos_yielding": 2.184890405552999, + "deflection": 0.005159251431795446, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_534", + "improvement_over_parent": null + }, + "node_536": { + "node_id": "node_536", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_535", + "improvement_over_parent": null + }, + "node_537": { + "node_id": "node_537", + "content": "INITIAL DESIGN (Trace 77)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 149.76 kg\n Factor of Safety: 0.19\n Max Deflection: 2.30e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.75756269792836, + "fos_buckling": 0.1852020897548744, + "fos_yielding": 0.5944283807757675, + "deflection": 22992627450345.85, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_538": { + "node_id": "node_538", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n\nPerformance:\n Mass: 161.56 kg\n Factor of Safety: 0.72\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.5575298160293, + "fos_buckling": 0.7210540351846999, + "fos_yielding": 1.1718530544950276, + "deflection": 0.010385740161900884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002502)" + }, + "parent_node_id": "node_537", + "improvement_over_parent": null + }, + "node_539": { + "node_id": "node_539", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n\nPerformance:\n Mass: 175.05 kg\n Factor of Safety: 0.84\n Max Deflection: 8.89e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.04735749251367, + "fos_buckling": 0.8352585511264398, + "fos_yielding": 1.154247889549622, + "deflection": 0.00888521477173761, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002675)" + }, + "parent_node_id": "node_538", + "improvement_over_parent": null + }, + "node_540": { + "node_id": "node_540", + "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n\nPerformance:\n Mass: 176.22 kg\n Factor of Safety: 0.95\n Max Deflection: 8.79e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.22392364764457, + "fos_buckling": 0.9535449823382718, + "fos_yielding": 1.273839378265035, + "deflection": 0.008789527373857494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.284)" + }, + "parent_node_id": "node_539", + "improvement_over_parent": null + }, + "node_541": { + "node_id": "node_541", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n\nPerformance:\n Mass: 199.85 kg\n Factor of Safety: 1.07\n Max Deflection: 7.76e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.8530744995806, + "fos_buckling": 1.0656725518969268, + "fos_yielding": 1.4438641011476452, + "deflection": 0.007764363779287124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_540", + "improvement_over_parent": null + }, + "node_542": { + "node_id": "node_542", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n Mass: 244.66 kg\n Factor of Safety: 1.27\n Max Deflection: 6.36e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.66314329949466, + "fos_buckling": 1.2682542992204782, + "fos_yielding": 1.7657939699273986, + "deflection": 0.006364076976216678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_541", + "improvement_over_parent": null + }, + "node_543": { + "node_id": "node_543", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4900481286735, + "fos_buckling": 1.5143755151910199, + "fos_yielding": 2.1874278632879673, + "deflection": 0.005153524050020746, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_542", + "improvement_over_parent": null + }, + "node_544": { + "node_id": "node_544", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_543", + "improvement_over_parent": null + }, + "node_545": { + "node_id": "node_545", + "content": "INITIAL DESIGN (Trace 78)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 233.02 kg\n Factor of Safety: 0.40\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.01691847293864, + "fos_buckling": 0.4035399886537404, + "fos_yielding": 0.9614456508731826, + "deflection": 0.013948095045464959, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_546": { + "node_id": "node_546", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 256.12 kg\n Factor of Safety: 0.98\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.12320372209473, + "fos_buckling": 0.9768165854412932, + "fos_yielding": 1.8128960023793181, + "deflection": 0.0062829148975966816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004775)" + }, + "parent_node_id": "node_545", + "improvement_over_parent": null + }, + "node_547": { + "node_id": "node_547", + "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0062)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 261.53 kg\n Factor of Safety: 0.98\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.5279830130644, + "fos_buckling": 0.9764308913219633, + "fos_yielding": 1.812896002379318, + "deflection": 0.006142648287514481, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.185)" + }, + "parent_node_id": "node_546", + "improvement_over_parent": null + }, + "node_548": { + "node_id": "node_548", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0062)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 272.77 kg\n Factor of Safety: 1.27\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.7665644842321, + "fos_buckling": 1.2748734706112035, + "fos_yielding": 1.6647621964469428, + "deflection": 0.0056933294204093154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003330)" + }, + "parent_node_id": "node_547", + "improvement_over_parent": null + }, + "node_549": { + "node_id": "node_549", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0071)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 307.94 kg\n Factor of Safety: 1.42\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 307.9367821200324, + "fos_buckling": 1.4163600131869605, + "fos_yielding": 1.8818311036119735, + "deflection": 0.005056763289404455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_548", + "improvement_over_parent": null + }, + "node_550": { + "node_id": "node_550", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_549", + "improvement_over_parent": null + }, + "node_551": { + "node_id": "node_551", + "content": "INITIAL DESIGN (Trace 79)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 187.60 kg\n Factor of Safety: 0.77\n Max Deflection: 8.35e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.59555499121717, + "fos_buckling": 0.7724294110915364, + "fos_yielding": 1.6007856681733916, + "deflection": 0.008348055445763478, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_552": { + "node_id": "node_552", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 232.62 kg\n Factor of Safety: 0.93\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.62408839300724, + "fos_buckling": 0.9257171015984205, + "fos_yielding": 1.9836929862679356, + "deflection": 0.006759702033959785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_551", + "improvement_over_parent": null + }, + "node_553": { + "node_id": "node_553", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 243.13 kg\n Factor of Safety: 1.21\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.13388306294368, + "fos_buckling": 1.2054527165689992, + "fos_yielding": 1.8312060133438135, + "deflection": 0.0063133535024632965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003097)" + }, + "parent_node_id": "node_552", + "improvement_over_parent": null + }, + "node_554": { + "node_id": "node_554", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 293.97 kg\n Factor of Safety: 1.42\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.9699768598754, + "fos_buckling": 1.424440354127404, + "fos_yielding": 2.2103741277723254, + "deflection": 0.005242629797834296, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_553", + "improvement_over_parent": null + }, + "node_555": { + "node_id": "node_555", + "content": "MODIFICATION: Increase 13 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 296.95 kg\n Factor of Safety: 1.42\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.95250280552864, + "fos_buckling": 1.417867844050743, + "fos_yielding": 2.1975832688918944, + "deflection": 0.005216077458470268, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.252)" + }, + "parent_node_id": "node_554", + "improvement_over_parent": null + }, + "node_556": { + "node_id": "node_556", + "content": "MODIFICATION: Increase 14 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0073)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 306.97 kg\n Factor of Safety: 1.43\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 306.96729343182517, + "fos_buckling": 1.4321229318292177, + "fos_yielding": 2.2211322679475654, + "deflection": 0.005139331026805973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.447)" + }, + "parent_node_id": "node_555", + "improvement_over_parent": null + }, + "node_557": { + "node_id": "node_557", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_556", + "improvement_over_parent": null + }, + "node_558": { + "node_id": "node_558", + "content": "INITIAL DESIGN (Trace 80)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 266.40 kg\n Factor of Safety: 1.08\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.39630749618874, + "fos_buckling": 1.0779571700767305, + "fos_yielding": 1.9737317648839845, + "deflection": 0.006415792436009934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_559": { + "node_id": "node_559", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 284.43 kg\n Factor of Safety: 1.09\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 284.4280741814185, + "fos_buckling": 1.090693696461299, + "fos_yielding": 1.81529976933658, + "deflection": 0.006035727094698045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_558", + "improvement_over_parent": null + }, + "node_560": { + "node_id": "node_560", + "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 286.30 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.2955237249725, + "fos_buckling": 1.0906936964612988, + "fos_yielding": 2.1895864630793134, + "deflection": 0.006004578693200838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.235)" + }, + "parent_node_id": "node_559", + "improvement_over_parent": null + }, + "node_561": { + "node_id": "node_561", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41347895654695, + "fos_buckling": 1.5140605263312532, + "fos_yielding": 2.1868654748018073, + "deflection": 0.005154756182058764, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_560", + "improvement_over_parent": null + }, + "node_562": { + "node_id": "node_562", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_561", + "improvement_over_parent": null + }, + "node_563": { + "node_id": "node_563", + "content": "INITIAL DESIGN (Trace 81)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 193.41 kg\n Factor of Safety: 0.79\n Max Deflection: 8.18e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.41015540817276, + "fos_buckling": 0.7858453595164046, + "fos_yielding": 1.40575389838525, + "deflection": 0.00818431393090893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_564": { + "node_id": "node_564", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 240.73 kg\n Factor of Safety: 0.94\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.72576200858285, + "fos_buckling": 0.9440543058674034, + "fos_yielding": 1.7519954063138898, + "deflection": 0.006601825145468402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_563", + "improvement_over_parent": null + }, + "node_565": { + "node_id": "node_565", + "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 242.18 kg\n Factor of Safety: 0.94\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.17514682483056, + "fos_buckling": 0.944054305867404, + "fos_yielding": 2.033590084993164, + "deflection": 0.006549033275114514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.236)" + }, + "parent_node_id": "node_564", + "improvement_over_parent": null + }, + "node_566": { + "node_id": "node_566", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 285.17 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.1726462364402, + "fos_buckling": 1.0759805783185399, + "fos_yielding": 2.394105364454937, + "deflection": 0.00558187865148244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_565", + "improvement_over_parent": null + }, + "node_567": { + "node_id": "node_567", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.20 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2044129216699, + "fos_buckling": 1.5132186416225966, + "fos_yielding": 2.185262339900134, + "deflection": 0.005158353311970589, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_566", + "improvement_over_parent": null + }, + "node_568": { + "node_id": "node_568", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_567", + "improvement_over_parent": null + }, + "node_569": { + "node_id": "node_569", + "content": "INITIAL DESIGN (Trace 82)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n Mass: 131.87 kg\n Factor of Safety: 0.33\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.86521002802394, + "fos_buckling": 0.332944085939511, + "fos_yielding": 0.8379780563273118, + "deflection": 0.018239736492965973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_570": { + "node_id": "node_570", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n\nPerformance:\n Mass: 154.65 kg\n Factor of Safety: 0.36\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.65168339595218, + "fos_buckling": 0.362106396173223, + "fos_yielding": 0.8376590608288252, + "deflection": 0.011664131345922714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003625)" + }, + "parent_node_id": "node_569", + "improvement_over_parent": null + }, + "node_571": { + "node_id": "node_571", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 170.81 kg\n Factor of Safety: 0.61\n Max Deflection: 9.77e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.80507032781355, + "fos_buckling": 0.6061718543030437, + "fos_yielding": 0.9888126090663732, + "deflection": 0.009772460735727889, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003052)" + }, + "parent_node_id": "node_570", + "improvement_over_parent": null + }, + "node_572": { + "node_id": "node_572", + "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 172.66 kg\n Factor of Safety: 0.61\n Max Deflection: 9.67e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.66249154052775, + "fos_buckling": 0.6061718543030435, + "fos_yielding": 1.3574166871325997, + "deflection": 0.009670694447296112, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.410)" + }, + "parent_node_id": "node_571", + "improvement_over_parent": null + }, + "node_573": { + "node_id": "node_573", + "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 177.33 kg\n Factor of Safety: 0.61\n Max Deflection: 8.87e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.3258629560926, + "fos_buckling": 0.6061718543030449, + "fos_yielding": 1.3572446456153051, + "deflection": 0.008874409659928969, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.397)" + }, + "parent_node_id": "node_572", + "improvement_over_parent": null + }, + "node_574": { + "node_id": "node_574", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 219.04 kg\n Factor of Safety: 0.73\n Max Deflection: 7.21e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.04343431495104, + "fos_buckling": 0.7298575836197941, + "fos_yielding": 1.674943338399029, + "deflection": 0.007205062860938559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_573", + "improvement_over_parent": null + }, + "node_575": { + "node_id": "node_575", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.10 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.1024118700211, + "fos_buckling": 0.9057874758804806, + "fos_yielding": 2.161598252993227, + "deflection": 0.005599467109093031, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_574", + "improvement_over_parent": null + }, + "node_576": { + "node_id": "node_576", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41574675204794, + "fos_buckling": 1.5140129665752786, + "fos_yielding": 2.1874632988562936, + "deflection": 0.005154855407775458, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_575", + "improvement_over_parent": null + }, + "node_577": { + "node_id": "node_577", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_576", + "improvement_over_parent": null + }, + "node_578": { + "node_id": "node_578", + "content": "INITIAL DESIGN (Trace 83)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_579": { + "node_id": "node_579", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 221.73 kg\n Factor of Safety: 0.94\n Max Deflection: 7.73e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.7329681451197, + "fos_buckling": 0.9370166979012974, + "fos_yielding": 1.446767280420404, + "deflection": 0.007728680073107919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003603)" + }, + "parent_node_id": "node_578", + "improvement_over_parent": null + }, + "node_580": { + "node_id": "node_580", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 267.31 kg\n Factor of Safety: 1.09\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.31151352111675, + "fos_buckling": 1.091815992157391, + "fos_yielding": 1.747923418598703, + "deflection": 0.006430299638326587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_579", + "improvement_over_parent": null + }, + "node_581": { + "node_id": "node_581", + "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 276.64 kg\n Factor of Safety: 1.09\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.6373134640211, + "fos_buckling": 1.0906829520116381, + "fos_yielding": 1.7426197544366977, + "deflection": 0.006045219636637573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.572)" + }, + "parent_node_id": "node_580", + "improvement_over_parent": null + }, + "node_582": { + "node_id": "node_582", + "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0077)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 286.01 kg\n Factor of Safety: 1.31\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.00724141859126, + "fos_buckling": 1.3071738396385555, + "fos_yielding": 1.7424863404680264, + "deflection": 0.005684184334256023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.292)" + }, + "parent_node_id": "node_581", + "improvement_over_parent": null + }, + "node_583": { + "node_id": "node_583", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0077)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 310.35 kg\n Factor of Safety: 1.33\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 310.34836942396817, + "fos_buckling": 1.3252895440124723, + "fos_yielding": 1.7404417832214698, + "deflection": 0.005019055970366456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_582", + "improvement_over_parent": null + }, + "node_584": { + "node_id": "node_584", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_583", + "improvement_over_parent": null + }, + "node_585": { + "node_id": "node_585", + "content": "INITIAL DESIGN (Trace 84)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 227.22 kg\n Factor of Safety: 0.47\n Max Deflection: 8.23e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.22419635526666, + "fos_buckling": 0.47016435560037934, + "fos_yielding": 1.5831792794909605, + "deflection": 0.008230803534565151, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_586": { + "node_id": "node_586", + "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 232.88 kg\n Factor of Safety: 0.47\n Max Deflection: 7.87e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.87791124934364, + "fos_buckling": 0.4695796900205269, + "fos_yielding": 1.5827321670185222, + "deflection": 0.007872917198328631, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.346)" + }, + "parent_node_id": "node_585", + "improvement_over_parent": null + }, + "node_587": { + "node_id": "node_587", + "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 237.49 kg\n Factor of Safety: 0.47\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.49146648688097, + "fos_buckling": 0.4694209081838455, + "fos_yielding": 1.5826105928461145, + "deflection": 0.007802113149889523, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.188)" + }, + "parent_node_id": "node_586", + "improvement_over_parent": null + }, + "node_588": { + "node_id": "node_588", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 259.55 kg\n Factor of Safety: 1.33\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.5506227583156, + "fos_buckling": 1.3330723322363844, + "fos_yielding": 1.8725186064112158, + "deflection": 0.0060056321423394374, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004257)" + }, + "parent_node_id": "node_587", + "improvement_over_parent": null + }, + "node_589": { + "node_id": "node_589", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.49857057550065, + "fos_buckling": 1.5148467483428902, + "fos_yielding": 2.1873898440376935, + "deflection": 0.005153194088638858, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_588", + "improvement_over_parent": null + }, + "node_590": { + "node_id": "node_590", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_589", + "improvement_over_parent": null + }, + "node_591": { + "node_id": "node_591", + "content": "INITIAL DESIGN (Trace 85)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0012)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0017)]\n\nPerformance:\n Mass: 155.44 kg\n Factor of Safety: 0.52\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.44333182309103, + "fos_buckling": 0.5213525453144299, + "fos_yielding": 1.2169753589355148, + "deflection": 0.010879621078749594, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_592": { + "node_id": "node_592", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n\nPerformance:\n Mass: 202.49 kg\n Factor of Safety: 0.67\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.49429942290558, + "fos_buckling": 0.6690074952241987, + "fos_yielding": 1.592933181310405, + "deflection": 0.008373021839385798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_591", + "improvement_over_parent": null + }, + "node_593": { + "node_id": "node_593", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 220.41 kg\n Factor of Safety: 0.84\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.41183307806077, + "fos_buckling": 0.8419846936399806, + "fos_yielding": 1.6034827814742916, + "deflection": 0.007071058912808188, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003615)" + }, + "parent_node_id": "node_592", + "improvement_over_parent": null + }, + "node_594": { + "node_id": "node_594", + "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 223.62 kg\n Factor of Safety: 0.94\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.62040191431856, + "fos_buckling": 0.9352115275828687, + "fos_yielding": 1.6031457828381122, + "deflection": 0.006991901948720668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.522)" + }, + "parent_node_id": "node_593", + "improvement_over_parent": null + }, + "node_595": { + "node_id": "node_595", + "content": "MODIFICATION: Increase 15 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n\nPerformance:\n Mass: 234.14 kg\n Factor of Safety: 0.94\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.14380456653066, + "fos_buckling": 0.9429086801304285, + "fos_yielding": 1.5989129565012596, + "deflection": 0.006861926547378243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.661)" + }, + "parent_node_id": "node_594", + "improvement_over_parent": null + }, + "node_596": { + "node_id": "node_596", + "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n\nPerformance:\n Mass: 235.59 kg\n Factor of Safety: 0.94\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.59095356887963, + "fos_buckling": 0.9384319375797464, + "fos_yielding": 1.582771843309081, + "deflection": 0.0067675592996975275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.543)" + }, + "parent_node_id": "node_595", + "improvement_over_parent": null + }, + "node_597": { + "node_id": "node_597", + "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n\nPerformance:\n Mass: 236.93 kg\n Factor of Safety: 0.94\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.92554649777304, + "fos_buckling": 0.9387703175575419, + "fos_yielding": 1.6529807746944556, + "deflection": 0.00670742887096478, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.238)" + }, + "parent_node_id": "node_596", + "improvement_over_parent": null + }, + "node_598": { + "node_id": "node_598", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0080)]\n\nPerformance:\n Mass: 306.62 kg\n Factor of Safety: 1.18\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 306.6227024934993, + "fos_buckling": 1.1846462737354122, + "fos_yielding": 2.1397070748049476, + "deflection": 0.005204490640170116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_597", + "improvement_over_parent": null + }, + "node_599": { + "node_id": "node_599", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_598", + "improvement_over_parent": null + }, + "node_600": { + "node_id": "node_600", + "content": "INITIAL DESIGN (Trace 86)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 241.28 kg\n Factor of Safety: 0.49\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.27890504116652, + "fos_buckling": 0.4936884687030533, + "fos_yielding": 1.677027339348673, + "deflection": 0.009997728196733169, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_601": { + "node_id": "node_601", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 259.31 kg\n Factor of Safety: 0.49\n Max Deflection: 9.61e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.31067172639627, + "fos_buckling": 0.4933577803063048, + "fos_yielding": 1.676519577895061, + "deflection": 0.009610358935222114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_600", + "improvement_over_parent": null + }, + "node_602": { + "node_id": "node_602", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 295.69 kg\n Factor of Safety: 1.31\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.6930691818754, + "fos_buckling": 1.3067237300518384, + "fos_yielding": 1.7117194627208423, + "deflection": 0.00525772677556108, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_601", + "improvement_over_parent": null + }, + "node_603": { + "node_id": "node_603", + "content": "MODIFICATION: Increase 13 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0067)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.13 kg\n Factor of Safety: 1.32\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.1312065128121, + "fos_buckling": 1.3185577392934498, + "fos_yielding": 1.7272212122299608, + "deflection": 0.005196140525927081, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.328)" + }, + "parent_node_id": "node_602", + "improvement_over_parent": null + }, + "node_604": { + "node_id": "node_604", + "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0067)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 305.52 kg\n Factor of Safety: 1.38\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.5168940595952, + "fos_buckling": 1.3825599535286401, + "fos_yielding": 2.2088993652943514, + "deflection": 0.0051570496547127575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.319)" + }, + "parent_node_id": "node_603", + "improvement_over_parent": null + }, + "node_605": { + "node_id": "node_605", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_604", + "improvement_over_parent": null + }, + "node_606": { + "node_id": "node_606", + "content": "INITIAL DESIGN (Trace 87)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 141.57 kg\n Factor of Safety: 0.54\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.57439851508315, + "fos_buckling": 0.5372002373534972, + "fos_yielding": 1.1860056460690909, + "deflection": 0.01185932844385549, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_607": { + "node_id": "node_607", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 181.39 kg\n Factor of Safety: 0.67\n Max Deflection: 9.28e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.39209669506346, + "fos_buckling": 0.6705524918546144, + "fos_yielding": 1.5181054751267218, + "deflection": 0.00928432823483532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_606", + "improvement_over_parent": null + }, + "node_608": { + "node_id": "node_608", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n\nPerformance:\n Mass: 191.43 kg\n Factor of Safety: 0.81\n Max Deflection: 8.59e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.42852368366857, + "fos_buckling": 0.8115823630140215, + "fos_yielding": 1.535961850335084, + "deflection": 0.008587588617485329, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002112)" + }, + "parent_node_id": "node_607", + "improvement_over_parent": null + }, + "node_609": { + "node_id": "node_609", + "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0047)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n\nPerformance:\n Mass: 198.04 kg\n Factor of Safety: 0.81\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.04353081578017, + "fos_buckling": 0.8109814498765388, + "fos_yielding": 1.5338273079606364, + "deflection": 0.008488976540905184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.445)" + }, + "parent_node_id": "node_608", + "improvement_over_parent": null + }, + "node_610": { + "node_id": "node_610", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0055)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n\nPerformance:\n Mass: 226.88 kg\n Factor of Safety: 0.91\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.88491658138065, + "fos_buckling": 0.9112089201197643, + "fos_yielding": 1.7566937479751834, + "deflection": 0.007425039810937599, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_609", + "improvement_over_parent": null + }, + "node_611": { + "node_id": "node_611", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0055)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n\nPerformance:\n Mass: 246.45 kg\n Factor of Safety: 1.27\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.45252217961598, + "fos_buckling": 1.2701758593059314, + "fos_yielding": 1.7545636506527793, + "deflection": 0.006349158872291575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003868)" + }, + "parent_node_id": "node_610", + "improvement_over_parent": null + }, + "node_612": { + "node_id": "node_612", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 306.18 kg\n Factor of Safety: 1.52\n Max Deflection: 5.13e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 306.17682605019627, + "fos_buckling": 1.5193598809283564, + "fos_yielding": 2.178444921954078, + "deflection": 0.005132008184312315, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_611", + "improvement_over_parent": null + }, + "node_613": { + "node_id": "node_613", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_612", + "improvement_over_parent": null + }, + "node_614": { + "node_id": "node_614", + "content": "INITIAL DESIGN (Trace 88)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 234.17 kg\n Factor of Safety: 1.18\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.1710041834829, + "fos_buckling": 1.1779789886648087, + "fos_yielding": 1.7550069346215809, + "deflection": 0.00653676926877616, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_615": { + "node_id": "node_615", + "content": "MODIFICATION: Increase 12 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 240.18 kg\n Factor of Safety: 1.20\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.17773201838466, + "fos_buckling": 1.2020141873558454, + "fos_yielding": 1.757901768808633, + "deflection": 0.006454476803685043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.631)" + }, + "parent_node_id": "node_614", + "improvement_over_parent": null + }, + "node_616": { + "node_id": "node_616", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.82 kg\n Factor of Safety: 1.45\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.8213872465476, + "fos_buckling": 1.4535422844542496, + "fos_yielding": 2.198305796687223, + "deflection": 0.005177641700961567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_615", + "improvement_over_parent": null + }, + "node_617": { + "node_id": "node_617", + "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.45181842920147, + "fos_buckling": 1.5142311370421249, + "fos_yielding": 2.187214793854107, + "deflection": 0.005154098807279167, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.287)" + }, + "parent_node_id": "node_616", + "improvement_over_parent": null + }, + "node_618": { + "node_id": "node_618", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_617", + "improvement_over_parent": null + }, + "node_619": { + "node_id": "node_619", + "content": "INITIAL DESIGN (Trace 89)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 146.21 kg\n Factor of Safety: 0.32\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.20912277884585, + "fos_buckling": 0.3232866163554815, + "fos_yielding": 1.021948771422586, + "deflection": 0.018009032084993982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_620": { + "node_id": "node_620", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 184.36 kg\n Factor of Safety: 0.40\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.35927880329004, + "fos_buckling": 0.3956497261797133, + "fos_yielding": 1.2863039069157594, + "deflection": 0.014315939361169613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_619", + "improvement_over_parent": null + }, + "node_621": { + "node_id": "node_621", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 208.24 kg\n Factor of Safety: 0.44\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.23643855191048, + "fos_buckling": 0.43845417312041823, + "fos_yielding": 1.4512696694824994, + "deflection": 0.012692998307393828, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_620", + "improvement_over_parent": null + }, + "node_622": { + "node_id": "node_622", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 240.88 kg\n Factor of Safety: 0.49\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.87991639491938, + "fos_buckling": 0.4938994947333321, + "fos_yielding": 1.6761921810474287, + "deflection": 0.010994792510977312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_621", + "improvement_over_parent": null + }, + "node_623": { + "node_id": "node_623", + "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 243.64 kg\n Factor of Safety: 0.49\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.6422347299178, + "fos_buckling": 0.4938487180512493, + "fos_yielding": 1.676114367989387, + "deflection": 0.010833658542137742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.199)" + }, + "parent_node_id": "node_622", + "improvement_over_parent": null + }, + "node_624": { + "node_id": "node_624", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 263.96 kg\n Factor of Safety: 0.49\n Max Deflection: 9.64e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.9555696119446, + "fos_buckling": 0.49273117430005375, + "fos_yielding": 1.6743995559262728, + "deflection": 0.009636064994452154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_623", + "improvement_over_parent": null + }, + "node_625": { + "node_id": "node_625", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 300.34 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.33796706742373, + "fos_buckling": 1.2295048927009111, + "fos_yielding": 2.1197887973010254, + "deflection": 0.005230570712407555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_624", + "improvement_over_parent": null + }, + "node_626": { + "node_id": "node_626", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.14 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.14222304656425, + "fos_buckling": 1.5137823242158182, + "fos_yielding": 2.1845888594746645, + "deflection": 0.005159202444308522, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_625", + "improvement_over_parent": null + }, + "node_627": { + "node_id": "node_627", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_626", + "improvement_over_parent": null + }, + "node_628": { + "node_id": "node_628", + "content": "INITIAL DESIGN (Trace 90)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 230.65 kg\n Factor of Safety: 0.49\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.65259628424195, + "fos_buckling": 0.4945694615248184, + "fos_yielding": 1.4705955997564486, + "deflection": 0.011225052057755154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_629": { + "node_id": "node_629", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 233.46 kg\n Factor of Safety: 0.49\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.45685226338247, + "fos_buckling": 0.4944661907915236, + "fos_yielding": 1.4513981947183612, + "deflection": 0.010861074174482458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_628", + "improvement_over_parent": null + }, + "node_630": { + "node_id": "node_630", + "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 240.13 kg\n Factor of Safety: 0.49\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.13199687444592, + "fos_buckling": 0.49434333611937936, + "fos_yielding": 1.470595599756447, + "deflection": 0.010720666926425418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.639)" + }, + "parent_node_id": "node_629", + "improvement_over_parent": null + }, + "node_631": { + "node_id": "node_631", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 263.36 kg\n Factor of Safety: 0.49\n Max Deflection: 9.57e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.3555172555939, + "fos_buckling": 0.49306469809765874, + "fos_yielding": 1.4489690970479419, + "deflection": 0.009566118037141044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_630", + "improvement_over_parent": null + }, + "node_632": { + "node_id": "node_632", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 299.74 kg\n Factor of Safety: 1.13\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.737914711073, + "fos_buckling": 1.132194437419738, + "fos_yielding": 1.4526243879777434, + "deflection": 0.005232193612035184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_631", + "improvement_over_parent": null + }, + "node_633": { + "node_id": "node_633", + "content": "MODIFICATION: Increase 9 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0077)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 311.83 kg\n Factor of Safety: 1.13\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 311.8285880421038, + "fos_buckling": 1.1319529798785328, + "fos_yielding": 1.4523145939163846, + "deflection": 0.0051440705646232585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.580)" + }, + "parent_node_id": "node_632", + "improvement_over_parent": null + }, + "node_634": { + "node_id": "node_634", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_633", + "improvement_over_parent": null + }, + "node_635": { + "node_id": "node_635", + "content": "INITIAL DESIGN (Trace 91)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 171.84 kg\n Factor of Safety: 0.64\n Max Deflection: 4.98e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.84122259321452, + "fos_buckling": 0.64429205587487, + "fos_yielding": 1.2790864380623748, + "deflection": 4976049420568.079, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_636": { + "node_id": "node_636", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 185.86 kg\n Factor of Safety: 0.40\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.8608059397691, + "fos_buckling": 0.40078363300301195, + "fos_yielding": 1.005597387586508, + "deflection": 0.014062529749391572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003212)" + }, + "parent_node_id": "node_635", + "improvement_over_parent": null + }, + "node_637": { + "node_id": "node_637", + "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 187.57 kg\n Factor of Safety: 0.40\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.56685052692623, + "fos_buckling": 0.40078363300301156, + "fos_yielding": 1.3067818904323218, + "deflection": 0.013707737854253145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.321)" + }, + "parent_node_id": "node_636", + "improvement_over_parent": null + }, + "node_638": { + "node_id": "node_638", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n Mass: 215.85 kg\n Factor of Safety: 0.43\n Max Deflection: 8.56e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.8499472357726, + "fos_buckling": 0.43379818270014325, + "fos_yielding": 1.4397222591407024, + "deflection": 0.008563296948292934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004562)" + }, + "parent_node_id": "node_637", + "improvement_over_parent": null + }, + "node_639": { + "node_id": "node_639", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 235.90 kg\n Factor of Safety: 1.23\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.90046378509575, + "fos_buckling": 1.229577622061143, + "fos_yielding": 1.7029630106869789, + "deflection": 0.006596032518399026, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003841)" + }, + "parent_node_id": "node_638", + "improvement_over_parent": null + }, + "node_640": { + "node_id": "node_640", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.38 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.38331097935855, + "fos_buckling": 1.5138380872152677, + "fos_yielding": 2.186753039254811, + "deflection": 0.005155272715363326, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_639", + "improvement_over_parent": null + }, + "node_641": { + "node_id": "node_641", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_640", + "improvement_over_parent": null + }, + "node_642": { + "node_id": "node_642", + "content": "INITIAL DESIGN (Trace 92)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 198.28 kg\n Factor of Safety: 0.80\n Max Deflection: 8.23e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.28126333409256, + "fos_buckling": 0.798287297486276, + "fos_yielding": 1.6638118436475722, + "deflection": 0.0082298975487683, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_643": { + "node_id": "node_643", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 230.04 kg\n Factor of Safety: 0.90\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.0440288590274, + "fos_buckling": 0.9045366804293553, + "fos_yielding": 1.9296211937138716, + "deflection": 0.0071113463767478935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_642", + "improvement_over_parent": null + }, + "node_644": { + "node_id": "node_644", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n\nPerformance:\n Mass: 240.27 kg\n Factor of Safety: 1.26\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.26999840780522, + "fos_buckling": 1.264348412239348, + "fos_yielding": 1.766149843163787, + "deflection": 0.006602107475222801, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003007)" + }, + "parent_node_id": "node_643", + "improvement_over_parent": null + }, + "node_645": { + "node_id": "node_645", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 298.14 kg\n Factor of Safety: 1.51\n Max Deflection: 5.34e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 298.1361974096429, + "fos_buckling": 1.5100125133464606, + "fos_yielding": 2.1879340379127905, + "deflection": 0.005341830725320166, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_644", + "improvement_over_parent": null + }, + "node_646": { + "node_id": "node_646", + "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.13 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.1348579222236, + "fos_buckling": 1.5129115993474325, + "fos_yielding": 2.184829967870541, + "deflection": 0.0051594183398176756, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.247)" + }, + "parent_node_id": "node_645", + "improvement_over_parent": null + }, + "node_647": { + "node_id": "node_647", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_646", + "improvement_over_parent": null + }, + "node_648": { + "node_id": "node_648", + "content": "INITIAL DESIGN (Trace 93)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 183.49 kg\n Factor of Safety: 0.95\n Max Deflection: 6.12e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.4869419124475, + "fos_buckling": 0.9510207248188339, + "fos_yielding": 1.7712349982970945, + "deflection": 6115059119299.021, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_649": { + "node_id": "node_649", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 199.72 kg\n Factor of Safety: 0.24\n Max Deflection: 2.05e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.7196294136762, + "fos_buckling": 0.2398343603648458, + "fos_yielding": 1.1888567615515349, + "deflection": 20532720690020.66, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003511)" + }, + "parent_node_id": "node_648", + "improvement_over_parent": null + }, + "node_650": { + "node_id": "node_650", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 249.93 kg\n Factor of Safety: 0.92\n Max Deflection: 3.89e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.9274645338103, + "fos_buckling": 0.917771448990394, + "fos_yielding": 2.1354135857170626, + "deflection": 3894523189997.462, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_649", + "improvement_over_parent": null + }, + "node_651": { + "node_id": "node_651", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 267.05 kg\n Factor of Safety: 0.49\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.0454197653848, + "fos_buckling": 0.4930420237966039, + "fos_yielding": 1.6761583195828642, + "deflection": 0.009486392699958284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_650", + "improvement_over_parent": null + }, + "node_652": { + "node_id": "node_652", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4278172208639, + "fos_buckling": 1.5140891093030497, + "fos_yielding": 2.1870551669759224, + "deflection": 0.005154497485515063, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_651", + "improvement_over_parent": null + }, + "node_653": { + "node_id": "node_653", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_652", + "improvement_over_parent": null + }, + "node_654": { + "node_id": "node_654", + "content": "INITIAL DESIGN (Trace 94)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0008)]\n\nPerformance:\n Mass: 148.49 kg\n Factor of Safety: 0.33\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.48653855583166, + "fos_buckling": 0.3259147791943048, + "fos_yielding": 0.7271969046585248, + "deflection": 0.017220482427261378, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_655": { + "node_id": "node_655", + "content": "MODIFICATION: Increase 14 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0014)]\n\nPerformance:\n Mass: 150.91 kg\n Factor of Safety: 0.33\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.90959309024225, + "fos_buckling": 0.3257976393824139, + "fos_yielding": 1.0350543219247117, + "deflection": 0.013864289614161435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.661)" + }, + "parent_node_id": "node_654", + "improvement_over_parent": null + }, + "node_656": { + "node_id": "node_656", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0014)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 165.29 kg\n Factor of Safety: 0.90\n Max Deflection: 9.26e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.2873841973948, + "fos_buckling": 0.9006977679655465, + "fos_yielding": 1.239033217106975, + "deflection": 0.009263690505701186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002700)" + }, + "parent_node_id": "node_655", + "improvement_over_parent": null + }, + "node_657": { + "node_id": "node_657", + "content": "MODIFICATION: Increase 14 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 169.15 kg\n Factor of Safety: 0.92\n Max Deflection: 9.15e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.14563533144369, + "fos_buckling": 0.9192490161814459, + "fos_yielding": 1.2229198243372512, + "deflection": 0.009152251517871017, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.653)" + }, + "parent_node_id": "node_656", + "improvement_over_parent": null + }, + "node_658": { + "node_id": "node_658", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 189.02 kg\n Factor of Safety: 1.01\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.01991673872766, + "fos_buckling": 1.0147312973219518, + "fos_yielding": 1.3659900417400757, + "deflection": 0.008202439445520238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_657", + "improvement_over_parent": null + }, + "node_659": { + "node_id": "node_659", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 239.93 kg\n Factor of Safety: 1.25\n Max Deflection: 6.49e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.93302954889901, + "fos_buckling": 1.2474988563862635, + "fos_yielding": 1.731909382500524, + "deflection": 0.006487113529278662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_658", + "improvement_over_parent": null + }, + "node_660": { + "node_id": "node_660", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 267.38 kg\n Factor of Safety: 1.37\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.37615420293537, + "fos_buckling": 1.3659476680973297, + "fos_yielding": 1.928794331242735, + "deflection": 0.005833478320637875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_659", + "improvement_over_parent": null + }, + "node_661": { + "node_id": "node_661", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 304.11 kg\n Factor of Safety: 1.52\n Max Deflection: 5.14e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 304.11298000428957, + "fos_buckling": 1.5168715429464805, + "fos_yielding": 2.1919695423669197, + "deflection": 0.005143145415585861, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_660", + "improvement_over_parent": null + }, + "node_662": { + "node_id": "node_662", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_661", + "improvement_over_parent": null + }, + "node_663": { + "node_id": "node_663", + "content": "INITIAL DESIGN (Trace 95)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 142.61 kg\n Factor of Safety: 0.63\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.61206338984172, + "fos_buckling": 0.6270044454132055, + "fos_yielding": 1.1484839691786801, + "deflection": 0.011808370466400046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_664": { + "node_id": "node_664", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 180.63 kg\n Factor of Safety: 0.77\n Max Deflection: 9.35e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.62634330617726, + "fos_buckling": 0.7734075142460641, + "fos_yielding": 1.452958071360595, + "deflection": 0.009349398782409847, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_663", + "improvement_over_parent": null + }, + "node_665": { + "node_id": "node_665", + "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 185.09 kg\n Factor of Safety: 0.77\n Max Deflection: 8.98e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.08953244474725, + "fos_buckling": 0.7730207402554002, + "fos_yielding": 1.455553486379323, + "deflection": 0.008981199146086928, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.368)" + }, + "parent_node_id": "node_664", + "improvement_over_parent": null + }, + "node_666": { + "node_id": "node_666", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n\nPerformance:\n Mass: 201.23 kg\n Factor of Safety: 1.07\n Max Deflection: 7.71e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.2329779731411, + "fos_buckling": 1.0720670123287908, + "fos_yielding": 1.453778424390174, + "deflection": 0.0077117323356372764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003150)" + }, + "parent_node_id": "node_665", + "improvement_over_parent": null + }, + "node_667": { + "node_id": "node_667", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n\nPerformance:\n Mass: 251.48 kg\n Factor of Safety: 1.30\n Max Deflection: 6.19e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.4796646545718, + "fos_buckling": 1.2978752742681645, + "fos_yielding": 1.814697153765196, + "deflection": 0.00619463326581575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_666", + "improvement_over_parent": null + }, + "node_668": { + "node_id": "node_668", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.46086244134176, + "fos_buckling": 1.5142050709679136, + "fos_yielding": 2.1872056803856506, + "deflection": 0.005153876600859151, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_667", + "improvement_over_parent": null + }, + "node_669": { + "node_id": "node_669", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_668", + "improvement_over_parent": null + }, + "node_670": { + "node_id": "node_670", + "content": "INITIAL DESIGN (Trace 96)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 144.03 kg\n Factor of Safety: 0.29\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.03467892201022, + "fos_buckling": 0.29346760792876003, + "fos_yielding": 0.9184581157054478, + "deflection": 0.017509484721308876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_671": { + "node_id": "node_671", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n\nPerformance:\n Mass: 145.56 kg\n Factor of Safety: 0.29\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.56282299334174, + "fos_buckling": 0.2934340103549086, + "fos_yielding": 0.9184107482930253, + "deflection": 0.017253953429669077, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001232)" + }, + "parent_node_id": "node_670", + "improvement_over_parent": null + }, + "node_672": { + "node_id": "node_672", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n\nPerformance:\n Mass: 162.83 kg\n Factor of Safety: 0.32\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.82645102526772, + "fos_buckling": 0.3242845016603883, + "fos_yielding": 1.02657176353003, + "deflection": 0.015443560841157961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_671", + "improvement_over_parent": null + }, + "node_673": { + "node_id": "node_673", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n\nPerformance:\n Mass: 185.00 kg\n Factor of Safety: 1.00\n Max Deflection: 8.38e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.99885080511797, + "fos_buckling": 0.9953046506485187, + "fos_yielding": 1.3371088613811037, + "deflection": 0.008378377135666202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003522)" + }, + "parent_node_id": "node_672", + "improvement_over_parent": null + }, + "node_674": { + "node_id": "node_674", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n\nPerformance:\n Mass: 234.57 kg\n Factor of Safety: 1.22\n Max Deflection: 6.63e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.57461372877543, + "fos_buckling": 1.223429714252613, + "fos_yielding": 1.6935062145194895, + "deflection": 0.006632767920638315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_673", + "improvement_over_parent": null + }, + "node_675": { + "node_id": "node_675", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n\nPerformance:\n Mass: 267.25 kg\n Factor of Safety: 1.37\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.25281658469225, + "fos_buckling": 1.3650304451678819, + "fos_yielding": 1.9279869610496423, + "deflection": 0.00583627382234004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_674", + "improvement_over_parent": null + }, + "node_676": { + "node_id": "node_676", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.49448858738333, + "fos_buckling": 1.5139843357819571, + "fos_yielding": 2.1876284614539934, + "deflection": 0.005153522004791449, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_675", + "improvement_over_parent": null + }, + "node_677": { + "node_id": "node_677", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_676", + "improvement_over_parent": null + }, + "node_678": { + "node_id": "node_678", + "content": "INITIAL DESIGN (Trace 97)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_679": { + "node_id": "node_679", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 232.66 kg\n Factor of Safety: 0.87\n Max Deflection: 7.63e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.65803497442593, + "fos_buckling": 0.8732414564722748, + "fos_yielding": 2.3963084714071377, + "deflection": 0.007629226719346095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_678", + "improvement_over_parent": null + }, + "node_680": { + "node_id": "node_680", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 233.88 kg\n Factor of Safety: 0.87\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.8820264334342, + "fos_buckling": 0.8730823255868652, + "fos_yielding": 2.3963084714071377, + "deflection": 0.0075823717357578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.309)" + }, + "parent_node_id": "node_679", + "improvement_over_parent": null + }, + "node_681": { + "node_id": "node_681", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 251.91 kg\n Factor of Safety: 0.87\n Max Deflection: 7.31e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.9137931186639, + "fos_buckling": 0.8724967488005416, + "fos_yielding": 2.23447173288184, + "deflection": 0.00731088761802673, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_680", + "improvement_over_parent": null + }, + "node_682": { + "node_id": "node_682", + "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0066)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 259.12 kg\n Factor of Safety: 0.87\n Max Deflection: 7.31e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.1201119278816, + "fos_buckling": 0.872029266789148, + "fos_yielding": 2.234363458828838, + "deflection": 0.007314464703427901, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.337)" + }, + "parent_node_id": "node_681", + "improvement_over_parent": null + }, + "node_683": { + "node_id": "node_683", + "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0066)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 261.73 kg\n Factor of Safety: 0.87\n Max Deflection: 7.30e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.7300118781109, + "fos_buckling": 0.8719446667811163, + "fos_yielding": 2.2253170824650637, + "deflection": 0.007299020184833587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.284)" + }, + "parent_node_id": "node_682", + "improvement_over_parent": null + }, + "node_684": { + "node_id": "node_684", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0066)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 278.85 kg\n Factor of Safety: 1.05\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.8479671096853, + "fos_buckling": 1.0475801196232006, + "fos_yielding": 2.225047143255168, + "deflection": 0.006219337683749644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_683", + "improvement_over_parent": null + }, + "node_685": { + "node_id": "node_685", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0066)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 302.07 kg\n Factor of Safety: 1.32\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.0714874908333, + "fos_buckling": 1.3219873363504244, + "fos_yielding": 2.186397807492005, + "deflection": 0.005323356580749724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_684", + "improvement_over_parent": null + }, + "node_686": { + "node_id": "node_686", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_685", + "improvement_over_parent": null + }, + "node_687": { + "node_id": "node_687", + "content": "INITIAL DESIGN (Trace 98)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 170.62 kg\n Factor of Safety: 0.64\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.62306198597244, + "fos_buckling": 0.6391939341320235, + "fos_yielding": 1.489702078860631, + "deflection": 0.010212931614190686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_688": { + "node_id": "node_688", + "content": "MODIFICATION: Increase 13 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 172.94 kg\n Factor of Safety: 0.74\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.9446905139547, + "fos_buckling": 0.7355691878060159, + "fos_yielding": 1.4897020788606306, + "deflection": 0.010045461808488029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.178)" + }, + "parent_node_id": "node_687", + "improvement_over_parent": null + }, + "node_689": { + "node_id": "node_689", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n\nPerformance:\n Mass: 187.42 kg\n Factor of Safety: 0.83\n Max Deflection: 8.31e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.4235156927299, + "fos_buckling": 0.8320607860079275, + "fos_yielding": 1.3265352531501142, + "deflection": 0.0083108330214307, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002882)" + }, + "parent_node_id": "node_688", + "improvement_over_parent": null + }, + "node_690": { + "node_id": "node_690", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n\nPerformance:\n Mass: 212.78 kg\n Factor of Safety: 0.93\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.78267022624138, + "fos_buckling": 0.9279018744137995, + "fos_yielding": 1.5051242125993929, + "deflection": 0.007334464924599859, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_689", + "improvement_over_parent": null + }, + "node_691": { + "node_id": "node_691", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n Mass: 266.57 kg\n Factor of Safety: 1.12\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.5652482586348, + "fos_buckling": 1.1184459270553118, + "fos_yielding": 1.8831790977420024, + "deflection": 0.005878533248933122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_690", + "improvement_over_parent": null + }, + "node_692": { + "node_id": "node_692", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 301.01 kg\n Factor of Safety: 1.23\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.00951336957286, + "fos_buckling": 1.2315379188835909, + "fos_yielding": 2.124798395098315, + "deflection": 0.005219401298056838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_691", + "improvement_over_parent": null + }, + "node_693": { + "node_id": "node_693", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.81 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.8137693487134, + "fos_buckling": 1.5156437075825504, + "fos_yielding": 2.1897753806249023, + "deflection": 0.005148138818915752, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_692", + "improvement_over_parent": null + }, + "node_694": { + "node_id": "node_694", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_693", + "improvement_over_parent": null + }, + "node_695": { + "node_id": "node_695", + "content": "INITIAL DESIGN (Trace 99)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 191.08 kg\n Factor of Safety: 0.89\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.0786507956946, + "fos_buckling": 0.8880704586169116, + "fos_yielding": 1.7561747568018158, + "deflection": 0.008726584732425923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_696": { + "node_id": "node_696", + "content": "MODIFICATION: Increase 12 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 196.20 kg\n Factor of Safety: 0.89\n Max Deflection: 8.68e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.20405704288504, + "fos_buckling": 0.887900492985373, + "fos_yielding": 1.740708695315868, + "deflection": 0.008683114981326883, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.618)" + }, + "parent_node_id": "node_695", + "improvement_over_parent": null + }, + "node_697": { + "node_id": "node_697", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 252.74 kg\n Factor of Safety: 1.09\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.74368042606056, + "fos_buckling": 1.0947845617598695, + "fos_yielding": 2.2386673681828473, + "deflection": 0.006767737575587583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_696", + "improvement_over_parent": null + }, + "node_698": { + "node_id": "node_698", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 277.08 kg\n Factor of Safety: 1.14\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.08480843143747, + "fos_buckling": 1.1351382870703564, + "fos_yielding": 2.2383072629632106, + "deflection": 0.006042398835186454, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_697", + "improvement_over_parent": null + }, + "node_699": { + "node_id": "node_699", + "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 280.35 kg\n Factor of Safety: 1.14\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.34555915065795, + "fos_buckling": 1.1352444858992334, + "fos_yielding": 2.2264350274701625, + "deflection": 0.006021868022304683, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.379)" + }, + "parent_node_id": "node_698", + "improvement_over_parent": null + }, + "node_700": { + "node_id": "node_700", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.57 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5690795318059, + "fos_buckling": 1.5147049446699457, + "fos_yielding": 2.1883044987999636, + "deflection": 0.005151928664746794, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_699", + "improvement_over_parent": null + }, + "node_701": { + "node_id": "node_701", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_700", + "improvement_over_parent": null + }, + "node_702": { + "node_id": "node_702", + "content": "INITIAL DESIGN (Trace 100)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 169.25 kg\n Factor of Safety: 0.37\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.24976390796826, + "fos_buckling": 0.3681881697936623, + "fos_yielding": 1.1780620630905698, + "deflection": 0.01099086451635474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_703": { + "node_id": "node_703", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 219.41 kg\n Factor of Safety: 0.46\n Max Deflection: 8.50e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.40995404585448, + "fos_buckling": 0.4599794499706541, + "fos_yielding": 1.5241500476833645, + "deflection": 0.008504626749616015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_702", + "improvement_over_parent": null + }, + "node_704": { + "node_id": "node_704", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 267.75 kg\n Factor of Safety: 0.54\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.7493328684353, + "fos_buckling": 0.5411338315300145, + "fos_yielding": 1.85627767076847, + "deflection": 0.006990015008585992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_703", + "improvement_over_parent": null + }, + "node_705": { + "node_id": "node_705", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 288.06 kg\n Factor of Safety: 1.14\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.06266775046214, + "fos_buckling": 1.136251446151412, + "fos_yielding": 2.1045220664303086, + "deflection": 0.005702178298958931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_704", + "improvement_over_parent": null + }, + "node_706": { + "node_id": "node_706", + "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 294.40 kg\n Factor of Safety: 1.14\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.39694913282955, + "fos_buckling": 1.1414687461414745, + "fos_yielding": 2.1056924146821516, + "deflection": 0.005488230445331177, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.361)" + }, + "parent_node_id": "node_705", + "improvement_over_parent": null + }, + "node_707": { + "node_id": "node_707", + "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 300.93 kg\n Factor of Safety: 1.23\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.9275742875049, + "fos_buckling": 1.2309982585042114, + "fos_yielding": 2.124405111671101, + "deflection": 0.005220628234254728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.366)" + }, + "parent_node_id": "node_706", + "improvement_over_parent": null + }, + "node_708": { + "node_id": "node_708", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.73 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.73183026664543, + "fos_buckling": 1.5155114298541605, + "fos_yielding": 2.1894129741069004, + "deflection": 0.005149253624228682, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_707", + "improvement_over_parent": null + }, + "node_709": { + "node_id": "node_709", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_708", + "improvement_over_parent": null + }, + "node_710": { + "node_id": "node_710", + "content": "INITIAL DESIGN (Trace 101)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 220.63 kg\n Factor of Safety: 0.23\n Max Deflection: 5.20e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.62956553520925, + "fos_buckling": 0.2308618674793336, + "fos_yielding": 1.1888567615515349, + "deflection": 5199796744294.912, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_711": { + "node_id": "node_711", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 243.85 kg\n Factor of Safety: 0.05\n Max Deflection: 7.22e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.85308591635723, + "fos_buckling": 0.04525327643024205, + "fos_yielding": 0.2935938209869043, + "deflection": 72203288094809.94, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_710", + "improvement_over_parent": null + }, + "node_712": { + "node_id": "node_712", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 256.54 kg\n Factor of Safety: 0.53\n Max Deflection: 7.40e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.5414571748458, + "fos_buckling": 0.5329991855703495, + "fos_yielding": 1.848249471332499, + "deflection": 0.007397419725191051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_711", + "improvement_over_parent": null + }, + "node_713": { + "node_id": "node_713", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 273.66 kg\n Factor of Safety: 0.53\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.65941240642024, + "fos_buckling": 0.532333527337893, + "fos_yielding": 1.847723417769084, + "deflection": 0.006797367685681422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_712", + "improvement_over_parent": null + }, + "node_714": { + "node_id": "node_714", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.45 kg\n Factor of Safety: 1.42\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.4500399488342, + "fos_buckling": 1.4151001261314826, + "fos_yielding": 2.184992211286664, + "deflection": 0.005276832956172601, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_713", + "improvement_over_parent": null + }, + "node_715": { + "node_id": "node_715", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0052)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.11 kg\n Factor of Safety: 1.42\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.112850007505, + "fos_buckling": 1.416445900290734, + "fos_yielding": 2.1849062901182723, + "deflection": 0.00524540067742133, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.196)" + }, + "parent_node_id": "node_714", + "improvement_over_parent": null + }, + "node_716": { + "node_id": "node_716", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_715", + "improvement_over_parent": null + }, + "node_717": { + "node_id": "node_717", + "content": "INITIAL DESIGN (Trace 102)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 200.64 kg\n Factor of Safety: 0.30\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.6447758965239, + "fos_buckling": 0.2963472109887468, + "fos_yielding": 0.9383685016848277, + "deflection": 0.014954238659920342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_718": { + "node_id": "node_718", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n\nPerformance:\n Mass: 221.56 kg\n Factor of Safety: 0.97\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.56108355073172, + "fos_buckling": 0.9712790493023477, + "fos_yielding": 1.722039007771929, + "deflection": 0.007087400007670587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004288)" + }, + "parent_node_id": "node_717", + "improvement_over_parent": null + }, + "node_719": { + "node_id": "node_719", + "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0048)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n\nPerformance:\n Mass: 224.10 kg\n Factor of Safety: 0.98\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.10259560405302, + "fos_buckling": 0.9845647122138542, + "fos_yielding": 1.9207110242216752, + "deflection": 0.007037376923649622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.330)" + }, + "parent_node_id": "node_718", + "improvement_over_parent": null + }, + "node_720": { + "node_id": "node_720", + "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0048)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0057)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n\nPerformance:\n Mass: 232.67 kg\n Factor of Safety: 1.01\n Max Deflection: 6.90e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.66630537485653, + "fos_buckling": 1.009327271026564, + "fos_yielding": 1.8826678934860794, + "deflection": 0.006897089515801531, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.490)" + }, + "parent_node_id": "node_719", + "improvement_over_parent": null + }, + "node_721": { + "node_id": "node_721", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0061)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0073)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 290.23 kg\n Factor of Safety: 1.23\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.2332736721721, + "fos_buckling": 1.2299253266537888, + "fos_yielding": 2.347102570941361, + "deflection": 0.005545440928376525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_720", + "improvement_over_parent": null + }, + "node_722": { + "node_id": "node_722", + "content": "MODIFICATION: Increase 15 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0061)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0073)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0090)]\n\nPerformance:\n Mass: 304.65 kg\n Factor of Safety: 1.21\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 304.65111860806127, + "fos_buckling": 1.2096455637921506, + "fos_yielding": 2.3498004674259207, + "deflection": 0.005281473149852233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.650)" + }, + "parent_node_id": "node_721", + "improvement_over_parent": null + }, + "node_723": { + "node_id": "node_723", + "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0061)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0073)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0056)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0090)]\n\nPerformance:\n Mass: 309.67 kg\n Factor of Safety: 1.24\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 309.669051102612, + "fos_buckling": 1.2355938458467255, + "fos_yielding": 2.349451603691648, + "deflection": 0.005242182329568321, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.316)" + }, + "parent_node_id": "node_722", + "improvement_over_parent": null + }, + "node_724": { + "node_id": "node_724", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_723", + "improvement_over_parent": null + }, + "node_725": { + "node_id": "node_725", + "content": "INITIAL DESIGN (Trace 103)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 231.36 kg\n Factor of Safety: 1.07\n Max Deflection: 6.95e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.3643848707905, + "fos_buckling": 1.0687876789730573, + "fos_yielding": 1.7457658978324662, + "deflection": 0.0069476622821115835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_726": { + "node_id": "node_726", + "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 237.52 kg\n Factor of Safety: 1.25\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.52345294372998, + "fos_buckling": 1.251949369305037, + "fos_yielding": 1.7459190362182668, + "deflection": 0.006675760932042565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.290)" + }, + "parent_node_id": "node_725", + "improvement_over_parent": null + }, + "node_727": { + "node_id": "node_727", + "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 241.54 kg\n Factor of Safety: 1.25\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.53819869328788, + "fos_buckling": 1.2544871717209458, + "fos_yielding": 1.7434741212838925, + "deflection": 0.0064450108557631705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.244)" + }, + "parent_node_id": "node_726", + "improvement_over_parent": null + }, + "node_728": { + "node_id": "node_728", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.15 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.14680970095566, + "fos_buckling": 1.5129316145289025, + "fos_yielding": 2.1851050387800237, + "deflection": 0.0051593292884978565, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_727", + "improvement_over_parent": null + }, + "node_729": { + "node_id": "node_729", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_728", + "improvement_over_parent": null + }, + "node_730": { + "node_id": "node_730", + "content": "INITIAL DESIGN (Trace 104)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 262.40 kg\n Factor of Safety: 0.91\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.4028194496927, + "fos_buckling": 0.9066731287263554, + "fos_yielding": 2.1791086157804127, + "deflection": 0.006596957751291343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_731": { + "node_id": "node_731", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 279.52 kg\n Factor of Safety: 0.91\n Max Deflection: 5.64e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.52077468126714, + "fos_buckling": 0.9055010881090343, + "fos_yielding": 2.178796397529643, + "deflection": 0.005643192826089703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_730", + "improvement_over_parent": null + }, + "node_732": { + "node_id": "node_732", + "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 283.09 kg\n Factor of Safety: 0.91\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.0896148118898, + "fos_buckling": 0.9055010881090343, + "fos_yielding": 2.1787963975296427, + "deflection": 0.005582130642282255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.431)" + }, + "parent_node_id": "node_731", + "improvement_over_parent": null + }, + "node_733": { + "node_id": "node_733", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.37\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.40294969391664, + "fos_buckling": 1.370127156930341, + "fos_yielding": 2.2029878797309963, + "deflection": 0.005131558361306774, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_732", + "improvement_over_parent": null + }, + "node_734": { + "node_id": "node_734", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_733", + "improvement_over_parent": null + }, + "node_735": { + "node_id": "node_735", + "content": "INITIAL DESIGN (Trace 105)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 200.38 kg\n Factor of Safety: 0.48\n Max Deflection: 1.30e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.38385043449435, + "fos_buckling": 0.4760151164143559, + "fos_yielding": 1.656524499656319, + "deflection": 12955579228340.18, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_736": { + "node_id": "node_736", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 218.88 kg\n Factor of Safety: 0.44\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.88252726177146, + "fos_buckling": 0.4428860056471931, + "fos_yielding": 1.4747399488172197, + "deflection": 0.010897004098836434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003741)" + }, + "parent_node_id": "node_735", + "improvement_over_parent": null + }, + "node_737": { + "node_id": "node_737", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 239.42 kg\n Factor of Safety: 1.02\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.4236455214081, + "fos_buckling": 1.0243732454907375, + "fos_yielding": 1.6925348695240376, + "deflection": 0.006531436967516508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003942)" + }, + "parent_node_id": "node_736", + "improvement_over_parent": null + }, + "node_738": { + "node_id": "node_738", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.49 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.4895403431696, + "fos_buckling": 1.229811506127406, + "fos_yielding": 2.121182331674055, + "deflection": 0.005228164511215777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_737", + "improvement_over_parent": null + }, + "node_739": { + "node_id": "node_739", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.29379632231013, + "fos_buckling": 1.513580465591485, + "fos_yielding": 2.186060688909228, + "deflection": 0.005156770410594255, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_738", + "improvement_over_parent": null + }, + "node_740": { + "node_id": "node_740", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_739", + "improvement_over_parent": null + }, + "node_741": { + "node_id": "node_741", + "content": "INITIAL DESIGN (Trace 106)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n\nPerformance:\n Mass: 159.36 kg\n Factor of Safety: 0.24\n Max Deflection: 1.72e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.36242860452708, + "fos_buckling": 0.24297009220474539, + "fos_yielding": 1.1291450888046926, + "deflection": 17226544988794.203, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_742": { + "node_id": "node_742", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 177.65 kg\n Factor of Safety: 0.68\n Max Deflection: 9.06e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.65392940627714, + "fos_buckling": 0.6762546560833821, + "fos_yielding": 1.1291450888046926, + "deflection": 0.009060065637653306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003482)" + }, + "parent_node_id": "node_741", + "improvement_over_parent": null + }, + "node_743": { + "node_id": "node_743", + "content": "MODIFICATION: Increase 10 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 185.44 kg\n Factor of Safety: 0.68\n Max Deflection: 8.61e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.438735398019, + "fos_buckling": 0.6758570767835976, + "fos_yielding": 1.1291450888046926, + "deflection": 0.0086111373926758, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.460)" + }, + "parent_node_id": "node_742", + "improvement_over_parent": null + }, + "node_744": { + "node_id": "node_744", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 223.57 kg\n Factor of Safety: 0.79\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.56869935416174, + "fos_buckling": 0.793920816698912, + "fos_yielding": 1.3676647468643652, + "deflection": 0.007164935664299827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_743", + "improvement_over_parent": null + }, + "node_745": { + "node_id": "node_745", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n\nPerformance:\n Mass: 240.93 kg\n Factor of Safety: 0.95\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.93451796291674, + "fos_buckling": 0.9498517081753213, + "fos_yielding": 1.3676647468643652, + "deflection": 0.0065025679784229875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003776)" + }, + "parent_node_id": "node_744", + "improvement_over_parent": null + }, + "node_746": { + "node_id": "node_746", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 281.77 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.7706813311504, + "fos_buckling": 1.0763961393258374, + "fos_yielding": 1.6073098136154202, + "deflection": 0.005580385006299997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_745", + "improvement_over_parent": null + }, + "node_747": { + "node_id": "node_747", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 299.80 kg\n Factor of Safety: 1.16\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.80244801638014, + "fos_buckling": 1.1568290887565849, + "fos_yielding": 1.4885047615474187, + "deflection": 0.005228853796611596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_746", + "improvement_over_parent": null + }, + "node_748": { + "node_id": "node_748", + "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2885298297175, + "fos_buckling": 1.5130823888089853, + "fos_yielding": 2.1863982279685854, + "deflection": 0.005157064684368079, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.538)" + }, + "parent_node_id": "node_747", + "improvement_over_parent": null + }, + "node_749": { + "node_id": "node_749", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_748", + "improvement_over_parent": null + }, + "node_750": { + "node_id": "node_750", + "content": "INITIAL DESIGN (Trace 107)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 174.14 kg\n Factor of Safety: 0.74\n Max Deflection: 9.52e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.14330097917784, + "fos_buckling": 0.739416656656321, + "fos_yielding": 1.347746926123864, + "deflection": 0.009518509671005928, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_751": { + "node_id": "node_751", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n\nPerformance:\n Mass: 175.91 kg\n Factor of Safety: 0.74\n Max Deflection: 9.44e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.91106185705436, + "fos_buckling": 0.73931895107277, + "fos_yielding": 1.3837253389230082, + "deflection": 0.00944292202263327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001436)" + }, + "parent_node_id": "node_750", + "improvement_over_parent": null + }, + "node_752": { + "node_id": "node_752", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n\nPerformance:\n Mass: 191.25 kg\n Factor of Safety: 1.03\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.25421345763135, + "fos_buckling": 1.0252883794267122, + "fos_yielding": 1.3820476977074052, + "deflection": 0.008108053794313461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.002985)" + }, + "parent_node_id": "node_751", + "improvement_over_parent": null + }, + "node_753": { + "node_id": "node_753", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n\nPerformance:\n Mass: 216.04 kg\n Factor of Safety: 1.14\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.04238590483152, + "fos_buckling": 1.1403720893659486, + "fos_yielding": 1.5602894325574028, + "deflection": 0.0071913857941200724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_752", + "improvement_over_parent": null + }, + "node_754": { + "node_id": "node_754", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n\nPerformance:\n Mass: 273.55 kg\n Factor of Safety: 1.39\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.5484375474176, + "fos_buckling": 1.3918964088843555, + "fos_yielding": 1.9730164280507694, + "deflection": 0.005704567545898153, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_753", + "improvement_over_parent": null + }, + "node_755": { + "node_id": "node_755", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4188335488681, + "fos_buckling": 1.514081115158249, + "fos_yielding": 2.1869726435538985, + "deflection": 0.005154670053270071, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_754", + "improvement_over_parent": null + }, + "node_756": { + "node_id": "node_756", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_755", + "improvement_over_parent": null + }, + "node_757": { + "node_id": "node_757", + "content": "INITIAL DESIGN (Trace 108)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 219.91 kg\n Factor of Safety: 0.48\n Max Deflection: 6.02e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.90624169323564, + "fos_buckling": 0.48047879838070084, + "fos_yielding": 2.336145678399131, + "deflection": 6020061632216.047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_758": { + "node_id": "node_758", + "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 223.84 kg\n Factor of Safety: 1.32\n Max Deflection: 1.69e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.8402881292954, + "fos_buckling": 1.319516694004582, + "fos_yielding": 1.1888567615515349, + "deflection": 16949153383161.74, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.304)" + }, + "parent_node_id": "node_757", + "improvement_over_parent": null + }, + "node_759": { + "node_id": "node_759", + "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 227.93 kg\n Factor of Safety: 0.62\n Max Deflection: 1.03e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.93101277167455, + "fos_buckling": 0.619438570286842, + "fos_yielding": 1.1888567615515349, + "deflection": 10250329165039.447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.522)" + }, + "parent_node_id": "node_758", + "improvement_over_parent": null + }, + "node_760": { + "node_id": "node_760", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 254.02 kg\n Factor of Safety: 0.59\n Max Deflection: 1.37e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.0188050544507, + "fos_buckling": 0.5894532615436027, + "fos_yielding": 1.1888567615515349, + "deflection": 13701362076682.477, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_759", + "improvement_over_parent": null + }, + "node_761": { + "node_id": "node_761", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 272.05 kg\n Factor of Safety: 0.53\n Max Deflection: 7.59e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.05057173968044, + "fos_buckling": 0.5321979523970277, + "fos_yielding": 1.8477008983041405, + "deflection": 0.007588460668708522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_760", + "improvement_over_parent": null + }, + "node_762": { + "node_id": "node_762", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 277.62 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.62477140465666, + "fos_buckling": 0.5317654565700732, + "fos_yielding": 1.847358465085176, + "deflection": 0.006704411592786857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_761", + "improvement_over_parent": null + }, + "node_763": { + "node_id": "node_763", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4153989470706, + "fos_buckling": 1.5140706281124041, + "fos_yielding": 2.1869718139552, + "deflection": 0.005154690644769289, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_762", + "improvement_over_parent": null + }, + "node_764": { + "node_id": "node_764", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_763", + "improvement_over_parent": null + }, + "node_765": { + "node_id": "node_765", + "content": "INITIAL DESIGN (Trace 109)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 199.46 kg\n Factor of Safety: 0.72\n Max Deflection: 8.05e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.4640849378448, + "fos_buckling": 0.7152899351347274, + "fos_yielding": 1.4708972184928477, + "deflection": 0.008051780787601883, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_766": { + "node_id": "node_766", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 234.93 kg\n Factor of Safety: 0.82\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.92565219764356, + "fos_buckling": 0.8222301299438941, + "fos_yielding": 1.7344038303348916, + "deflection": 0.0068504771029716536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_765", + "improvement_over_parent": null + }, + "node_767": { + "node_id": "node_767", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n\nPerformance:\n Mass: 253.00 kg\n Factor of Safety: 1.03\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.99891954085717, + "fos_buckling": 1.025011073121993, + "fos_yielding": 1.749828810296986, + "deflection": 0.006354131263767529, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003943)" + }, + "parent_node_id": "node_766", + "improvement_over_parent": null + }, + "node_768": { + "node_id": "node_768", + "content": "MODIFICATION: Increase 5 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n\nPerformance:\n Mass: 257.09 kg\n Factor of Safety: 1.03\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.08997779726695, + "fos_buckling": 1.025147050262969, + "fos_yielding": 1.7495566555650544, + "deflection": 0.006299939134795078, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.616)" + }, + "parent_node_id": "node_767", + "improvement_over_parent": null + }, + "node_769": { + "node_id": "node_769", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 289.03 kg\n Factor of Safety: 1.14\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 289.02837488148265, + "fos_buckling": 1.139087391214383, + "fos_yielding": 1.969153913363874, + "deflection": 0.005614288256574091, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_768", + "improvement_over_parent": null + }, + "node_770": { + "node_id": "node_770", + "content": "MODIFICATION: Increase 10 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 301.54 kg\n Factor of Safety: 1.40\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.53707634973995, + "fos_buckling": 1.4010534877054297, + "fos_yielding": 2.0591242883959975, + "deflection": 0.005202784412110029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.575)" + }, + "parent_node_id": "node_769", + "improvement_over_parent": null + }, + "node_771": { + "node_id": "node_771", + "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.24 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.23799708035295, + "fos_buckling": 1.513422427801044, + "fos_yielding": 2.1855656488547304, + "deflection": 0.005157737175303967, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.239)" + }, + "parent_node_id": "node_770", + "improvement_over_parent": null + }, + "node_772": { + "node_id": "node_772", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_771", + "improvement_over_parent": null + }, + "node_773": { + "node_id": "node_773", + "content": "INITIAL DESIGN (Trace 110)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 220.58 kg\n Factor of Safety: 0.46\n Max Deflection: 8.52e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.57722346559592, + "fos_buckling": 0.4557468118115307, + "fos_yielding": 1.082011275947319, + "deflection": 0.00851976227720543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_774": { + "node_id": "node_774", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 271.92 kg\n Factor of Safety: 0.54\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 271.9208657727758, + "fos_buckling": 0.5408757485326813, + "fos_yielding": 1.3392322510455343, + "deflection": 0.006931869032897623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_773", + "improvement_over_parent": null + }, + "node_775": { + "node_id": "node_775", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 292.23 kg\n Factor of Safety: 1.19\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.23420065480263, + "fos_buckling": 1.1896583930411064, + "fos_yielding": 1.544280570371714, + "deflection": 0.005375198027226583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_774", + "improvement_over_parent": null + }, + "node_776": { + "node_id": "node_776", + "content": "MODIFICATION: Increase 3 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 297.85 kg\n Factor of Safety: 1.19\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.8475631782855, + "fos_buckling": 1.1890050155557341, + "fos_yielding": 1.5434324292904753, + "deflection": 0.005292387409218928, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.534)" + }, + "parent_node_id": "node_775", + "improvement_over_parent": null + }, + "node_777": { + "node_id": "node_777", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 300.65 kg\n Factor of Safety: 1.23\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.651819157426, + "fos_buckling": 1.2308659463315914, + "fos_yielding": 1.5977715760850275, + "deflection": 0.005208090819292536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_776", + "improvement_over_parent": null + }, + "node_778": { + "node_id": "node_778", + "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0085)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 314.03 kg\n Factor of Safety: 1.23\n Max Deflection: 4.97e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 314.0264760148969, + "fos_buckling": 1.230923537639616, + "fos_yielding": 1.5978463346363263, + "deflection": 0.004971063879963753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.422)" + }, + "parent_node_id": "node_777", + "improvement_over_parent": null + }, + "node_779": { + "node_id": "node_779", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_778", + "improvement_over_parent": null + }, + "node_780": { + "node_id": "node_780", + "content": "INITIAL DESIGN (Trace 111)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 170.75 kg\n Factor of Safety: 0.70\n Max Deflection: 9.34e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.75489354775263, + "fos_buckling": 0.6969343616594778, + "fos_yielding": 1.4234118899703119, + "deflection": 0.009337119577964844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_781": { + "node_id": "node_781", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 202.08 kg\n Factor of Safety: 0.81\n Max Deflection: 7.91e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.08236815772744, + "fos_buckling": 0.8061659817521688, + "fos_yielding": 1.6840796489063092, + "deflection": 0.007911285282326538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_780", + "improvement_over_parent": null + }, + "node_782": { + "node_id": "node_782", + "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 202.42 kg\n Factor of Safety: 0.81\n Max Deflection: 7.88e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.4174375405882, + "fos_buckling": 0.8060864185826001, + "fos_yielding": 1.6840796489063092, + "deflection": 0.007882732829736507, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.218)" + }, + "parent_node_id": "node_781", + "improvement_over_parent": null + }, + "node_783": { + "node_id": "node_783", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 248.13 kg\n Factor of Safety: 0.96\n Max Deflection: 6.46e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.13158347102734, + "fos_buckling": 0.9552177847375972, + "fos_yielding": 2.063591024401065, + "deflection": 0.006456374768020534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_782", + "improvement_over_parent": null + }, + "node_784": { + "node_id": "node_784", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n\nPerformance:\n Mass: 259.06 kg\n Factor of Safety: 1.34\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.05844211180715, + "fos_buckling": 1.3401547426265306, + "fos_yielding": 1.8931069162170726, + "deflection": 0.005988175216370629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003230)" + }, + "parent_node_id": "node_783", + "improvement_over_parent": null + }, + "node_785": { + "node_id": "node_785", + "content": "MODIFICATION: Increase 14 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n\nPerformance:\n Mass: 262.76 kg\n Factor of Safety: 1.34\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.75689792736887, + "fos_buckling": 1.3398128389057475, + "fos_yielding": 1.903027321491823, + "deflection": 0.00594387274946703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.183)" + }, + "parent_node_id": "node_784", + "improvement_over_parent": null + }, + "node_786": { + "node_id": "node_786", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0060)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 304.81 kg\n Factor of Safety: 1.51\n Max Deflection: 5.14e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 304.8111210881336, + "fos_buckling": 1.5127188598809107, + "fos_yielding": 2.2056625635101246, + "deflection": 0.005139804437124009, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_785", + "improvement_over_parent": null + }, + "node_787": { + "node_id": "node_787", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_786", + "improvement_over_parent": null + }, + "node_788": { + "node_id": "node_788", + "content": "INITIAL DESIGN (Trace 112)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 235.73 kg\n Factor of Safety: 0.46\n Max Deflection: 5.20e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.73151198444486, + "fos_buckling": 0.4617237349586672, + "fos_yielding": 2.0433483179600227, + "deflection": 5198042976017.774, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_789": { + "node_id": "node_789", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 261.82 kg\n Factor of Safety: 1.08\n Max Deflection: 6.39e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.819304267221, + "fos_buckling": 1.081707008053916, + "fos_yielding": 2.395077916031771, + "deflection": 0.006390464390736643, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_788", + "improvement_over_parent": null + }, + "node_790": { + "node_id": "node_790", + "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 267.51 kg\n Factor of Safety: 1.08\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.5134405216415, + "fos_buckling": 1.081256594209201, + "fos_yielding": 2.3950779160317697, + "deflection": 0.006316354662622727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.546)" + }, + "parent_node_id": "node_789", + "improvement_over_parent": null + }, + "node_791": { + "node_id": "node_791", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 290.74 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.73696090278946, + "fos_buckling": 1.0757757771979046, + "fos_yielding": 2.3950779160317706, + "deflection": 0.00558017880386398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_790", + "improvement_over_parent": null + }, + "node_792": { + "node_id": "node_792", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.42533216127805, + "fos_buckling": 1.514164164654577, + "fos_yielding": 2.186944993596398, + "deflection": 0.005154588188228062, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_791", + "improvement_over_parent": null + }, + "node_793": { + "node_id": "node_793", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_792", + "improvement_over_parent": null + }, + "node_794": { + "node_id": "node_794", + "content": "INITIAL DESIGN (Trace 113)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 185.75 kg\n Factor of Safety: 0.67\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.75329344356243, + "fos_buckling": 0.6688506218449893, + "fos_yielding": 1.5393438821097036, + "deflection": 0.008712050246111509, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_795": { + "node_id": "node_795", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 221.75 kg\n Factor of Safety: 0.78\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.75173366320647, + "fos_buckling": 0.7795001400851832, + "fos_yielding": 1.8327098611646546, + "deflection": 0.0073182255964888785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_794", + "improvement_over_parent": null + }, + "node_796": { + "node_id": "node_796", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n\nPerformance:\n Mass: 238.74 kg\n Factor of Safety: 0.93\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.74270030623185, + "fos_buckling": 0.9330961480124731, + "fos_yielding": 2.004859601952502, + "deflection": 0.006641213569337586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003688)" + }, + "parent_node_id": "node_795", + "improvement_over_parent": null + }, + "node_797": { + "node_id": "node_797", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 285.48 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.4781247374739, + "fos_buckling": 1.076904915299345, + "fos_yielding": 2.3967319240844627, + "deflection": 0.005576015244112163, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_796", + "improvement_over_parent": null + }, + "node_798": { + "node_id": "node_798", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5098914227036, + "fos_buckling": 1.5144930822917368, + "fos_yielding": 2.1877078387653657, + "deflection": 0.005153060573667095, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_797", + "improvement_over_parent": null + }, + "node_799": { + "node_id": "node_799", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_798", + "improvement_over_parent": null + }, + "node_800": { + "node_id": "node_800", + "content": "INITIAL DESIGN (Trace 114)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 207.59 kg\n Factor of Safety: 0.44\n Max Deflection: 8.54e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.59359127662358, + "fos_buckling": 0.4412429179553474, + "fos_yielding": 1.467321651643835, + "deflection": 0.00854483190509896, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_801": { + "node_id": "node_801", + "content": "MODIFICATION: Increase 2 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 212.80 kg\n Factor of Safety: 0.44\n Max Deflection: 8.55e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.7968588771815, + "fos_buckling": 0.4409053960076823, + "fos_yielding": 1.4670672191018468, + "deflection": 0.008549189949042867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.608)" + }, + "parent_node_id": "node_800", + "improvement_over_parent": null + }, + "node_802": { + "node_id": "node_802", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 268.58 kg\n Factor of Safety: 0.53\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 268.58346714958014, + "fos_buckling": 0.5320549550859859, + "fos_yielding": 1.8466098598303318, + "deflection": 0.006817332136510539, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_801", + "improvement_over_parent": null + }, + "node_803": { + "node_id": "node_803", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.37 kg\n Factor of Safety: 1.27\n Max Deflection: 5.41e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.3740946919941, + "fos_buckling": 1.2698155698788782, + "fos_yielding": 2.185611948173833, + "deflection": 0.005413814339412442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_802", + "improvement_over_parent": null + }, + "node_804": { + "node_id": "node_804", + "content": "MODIFICATION: Increase 10 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2577599080359, + "fos_buckling": 1.512963592909135, + "fos_yielding": 2.1858196957093963, + "deflection": 0.005157638314283808, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.355)" + }, + "parent_node_id": "node_803", + "improvement_over_parent": null + }, + "node_805": { + "node_id": "node_805", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_804", + "improvement_over_parent": null + }, + "node_806": { + "node_id": "node_806", + "content": "INITIAL DESIGN (Trace 115)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0006)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0019)]\n\nPerformance:\n Mass: 112.19 kg\n Factor of Safety: 0.20\n Max Deflection: 2.72e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.19442805220038, + "fos_buckling": 0.20233403279475098, + "fos_yielding": 0.4395188119016066, + "deflection": 0.027187676325179513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_807": { + "node_id": "node_807", + "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0009)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0019)]\n\nPerformance:\n Mass: 112.51 kg\n Factor of Safety: 0.20\n Max Deflection: 2.60e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.51355802966938, + "fos_buckling": 0.2023291815448167, + "fos_yielding": 0.5855136420904066, + "deflection": 0.02601568315804666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.403)" + }, + "parent_node_id": "node_806", + "improvement_over_parent": null + }, + "node_808": { + "node_id": "node_808", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 138.30 kg\n Factor of Safety: 0.24\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.302308641987, + "fos_buckling": 0.24449186753819455, + "fos_yielding": 0.7179683668139413, + "deflection": 0.021214784412914373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_807", + "improvement_over_parent": null + }, + "node_809": { + "node_id": "node_809", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 159.89 kg\n Factor of Safety: 0.28\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.893331711329, + "fos_buckling": 0.27859701857327734, + "fos_yielding": 0.828369018992386, + "deflection": 0.018386390023043483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_808", + "improvement_over_parent": null + }, + "node_810": { + "node_id": "node_810", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 192.25 kg\n Factor of Safety: 0.33\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.2484422110603, + "fos_buckling": 0.3276783310635123, + "fos_yielding": 0.9929728188209687, + "deflection": 0.015337258018552876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_809", + "improvement_over_parent": null + }, + "node_811": { + "node_id": "node_811", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 245.29 kg\n Factor of Safety: 0.40\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.29270066927475, + "fos_buckling": 0.4029234721962615, + "fos_yielding": 1.2606814606858128, + "deflection": 0.01207876020190434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_810", + "improvement_over_parent": null + }, + "node_812": { + "node_id": "node_812", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 268.39 kg\n Factor of Safety: 1.37\n Max Deflection: 5.81e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 268.3856111515004, + "fos_buckling": 1.370096540012273, + "fos_yielding": 1.9358622101559821, + "deflection": 0.005811772971995572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004772)" + }, + "parent_node_id": "node_811", + "improvement_over_parent": null + }, + "node_813": { + "node_id": "node_813", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.31632393977924, + "fos_buckling": 1.5135688927344457, + "fos_yielding": 2.1860781002531535, + "deflection": 0.005156156682625395, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_812", + "improvement_over_parent": null + }, + "node_814": { + "node_id": "node_814", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_813", + "improvement_over_parent": null + }, + "node_815": { + "node_id": "node_815", + "content": "INITIAL DESIGN (Trace 116)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 183.92 kg\n Factor of Safety: 0.27\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.92333352360254, + "fos_buckling": 0.2693993546432843, + "fos_yielding": 1.101034862753189, + "deflection": 0.014569219838012857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_816": { + "node_id": "node_816", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n\nPerformance:\n Mass: 210.04 kg\n Factor of Safety: 1.02\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.03769547451515, + "fos_buckling": 1.0214109909293931, + "fos_yielding": 1.5751227080416617, + "deflection": 0.007333071464165022, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004189)" + }, + "parent_node_id": "node_815", + "improvement_over_parent": null + }, + "node_817": { + "node_id": "node_817", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n\nPerformance:\n Mass: 241.30 kg\n Factor of Safety: 1.16\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.30454111477485, + "fos_buckling": 1.1588320705812427, + "fos_yielding": 1.8077451092592, + "deflection": 0.0063980182697692504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_816", + "improvement_over_parent": null + }, + "node_818": { + "node_id": "node_818", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 292.66 kg\n Factor of Safety: 1.38\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.6563375044091, + "fos_buckling": 1.3761298117175362, + "fos_yielding": 2.188700781058388, + "deflection": 0.0052958837899898595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_817", + "improvement_over_parent": null + }, + "node_819": { + "node_id": "node_819", + "content": "MODIFICATION: Increase 13 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0056)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 297.93 kg\n Factor of Safety: 1.37\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.9302289699492, + "fos_buckling": 1.3697322479073202, + "fos_yielding": 2.1751224448323945, + "deflection": 0.005268567029730875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.333)" + }, + "parent_node_id": "node_818", + "improvement_over_parent": null + }, + "node_820": { + "node_id": "node_820", + "content": "MODIFICATION: Increase 3 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0056)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.07 kg\n Factor of Safety: 1.36\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.0721458822553, + "fos_buckling": 1.3608704611129618, + "fos_yielding": 2.174810177198132, + "deflection": 0.005192690604634188, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.471)" + }, + "parent_node_id": "node_819", + "improvement_over_parent": null + }, + "node_821": { + "node_id": "node_821", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_820", + "improvement_over_parent": null + }, + "node_822": { + "node_id": "node_822", + "content": "INITIAL DESIGN (Trace 117)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 127.15 kg\n Factor of Safety: 0.94\n Max Deflection: 1.02e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.14869124704, + "fos_buckling": 0.9375738567575757, + "fos_yielding": 1.3281609994847856, + "deflection": 10225256454881.527, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_823": { + "node_id": "node_823", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n\nPerformance:\n Mass: 134.84 kg\n Factor of Safety: 0.49\n Max Deflection: 1.49e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.84426939095965, + "fos_buckling": 0.49146079681075133, + "fos_yielding": 1.0793933022983573, + "deflection": 14864800107674.793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002222)" + }, + "parent_node_id": "node_822", + "improvement_over_parent": null + }, + "node_824": { + "node_id": "node_824", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n\nPerformance:\n Mass: 148.93 kg\n Factor of Safety: 0.29\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.92748693868077, + "fos_buckling": 0.2916671185264866, + "fos_yielding": 1.1260306224013346, + "deflection": 0.020751512968827365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002799)" + }, + "parent_node_id": "node_823", + "improvement_over_parent": null + }, + "node_825": { + "node_id": "node_825", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 193.56 kg\n Factor of Safety: 0.37\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.56017713832674, + "fos_buckling": 0.3661895259033685, + "fos_yielding": 1.460641142639152, + "deflection": 0.016029195368949777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_824", + "improvement_over_parent": null + }, + "node_826": { + "node_id": "node_826", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 245.67 kg\n Factor of Safety: 0.45\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.67199605370524, + "fos_buckling": 0.44582388106895005, + "fos_yielding": 1.8496190299055772, + "deflection": 0.012686140170537595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_825", + "improvement_over_parent": null + }, + "node_827": { + "node_id": "node_827", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 271.76 kg\n Factor of Safety: 0.53\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 271.7597883364814, + "fos_buckling": 0.5324633223378371, + "fos_yielding": 1.8472119030419432, + "deflection": 0.006622348325703222, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_826", + "improvement_over_parent": null + }, + "node_828": { + "node_id": "node_828", + "content": "MODIFICATION: Increase 12 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0055)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 276.56 kg\n Factor of Safety: 0.68\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.55847597707987, + "fos_buckling": 0.6833567694441639, + "fos_yielding": 1.8464751972636464, + "deflection": 0.006247556509077559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.435)" + }, + "parent_node_id": "node_827", + "improvement_over_parent": null + }, + "node_829": { + "node_id": "node_829", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0055)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.35 kg\n Factor of Safety: 1.46\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.34910351949384, + "fos_buckling": 1.4627055714590917, + "fos_yielding": 2.1701529152680306, + "deflection": 0.005173141744899175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_828", + "improvement_over_parent": null + }, + "node_830": { + "node_id": "node_830", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_829", + "improvement_over_parent": null + }, + "node_831": { + "node_id": "node_831", + "content": "INITIAL DESIGN (Trace 118)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 196.18 kg\n Factor of Safety: 0.72\n Max Deflection: 8.66e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.1755215176379, + "fos_buckling": 0.7192749393368285, + "fos_yielding": 1.5662605075416207, + "deflection": 0.008656754950483162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_832": { + "node_id": "node_832", + "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 196.86 kg\n Factor of Safety: 0.84\n Max Deflection: 8.53e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.85704331148236, + "fos_buckling": 0.8391143326108758, + "fos_yielding": 1.5662453528986227, + "deflection": 0.008531240549972915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.224)" + }, + "parent_node_id": "node_831", + "improvement_over_parent": null + }, + "node_833": { + "node_id": "node_833", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 252.88 kg\n Factor of Safety: 1.04\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.88113219829899, + "fos_buckling": 1.0417940984495633, + "fos_yielding": 2.0094258005690726, + "deflection": 0.006664609406546204, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_832", + "improvement_over_parent": null + }, + "node_834": { + "node_id": "node_834", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 273.85 kg\n Factor of Safety: 1.39\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.85083671594987, + "fos_buckling": 1.393146003513572, + "fos_yielding": 1.9751069106242896, + "deflection": 0.005698456605020795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004284)" + }, + "parent_node_id": "node_833", + "improvement_over_parent": null + }, + "node_835": { + "node_id": "node_835", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.503871712928, + "fos_buckling": 1.5144043023435725, + "fos_yielding": 2.1874970094369446, + "deflection": 0.005153310666434356, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_834", + "improvement_over_parent": null + }, + "node_836": { + "node_id": "node_836", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_835", + "improvement_over_parent": null + }, + "node_837": { + "node_id": "node_837", + "content": "INITIAL DESIGN (Trace 119)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0009)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 183.98 kg\n Factor of Safety: 0.64\n Max Deflection: 8.65e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.98060763663347, + "fos_buckling": 0.6403249634754571, + "fos_yielding": 1.0454243563149512, + "deflection": 0.00865252477372175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_838": { + "node_id": "node_838", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0010)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 203.75 kg\n Factor of Safety: 0.71\n Max Deflection: 7.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.74833016860583, + "fos_buckling": 0.7075425855792759, + "fos_yielding": 1.1588476921002782, + "deflection": 0.007822946606963217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_837", + "improvement_over_parent": null + }, + "node_839": { + "node_id": "node_839", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0011)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 233.41 kg\n Factor of Safety: 0.81\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.4077017974576, + "fos_buckling": 0.807817236403727, + "fos_yielding": 1.3295116355969445, + "deflection": 0.006841793102177694, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_838", + "improvement_over_parent": null + }, + "node_840": { + "node_id": "node_840", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 298.12 kg\n Factor of Safety: 1.02\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.12028105171385, + "fos_buckling": 1.0241931671495288, + "fos_yielding": 1.7041099499983001, + "deflection": 0.005378579679594835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_839", + "improvement_over_parent": null + }, + "node_841": { + "node_id": "node_841", + "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.52 kg\n Factor of Safety: 1.03\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.5173820712646, + "fos_buckling": 1.0284022563678203, + "fos_yielding": 2.1831734107898075, + "deflection": 0.005334723293206529, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.321)" + }, + "parent_node_id": "node_840", + "improvement_over_parent": null + }, + "node_842": { + "node_id": "node_842", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.44 kg\n Factor of Safety: 1.27\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.4424898769847, + "fos_buckling": 1.2671735047933195, + "fos_yielding": 2.1848649824139, + "deflection": 0.005251782512184811, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.376)" + }, + "parent_node_id": "node_841", + "improvement_over_parent": null + }, + "node_843": { + "node_id": "node_843", + "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.49578317716305, + "fos_buckling": 1.5144086361704725, + "fos_yielding": 2.186854796715852, + "deflection": 0.005153387151801351, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.639)" + }, + "parent_node_id": "node_842", + "improvement_over_parent": null + }, + "node_844": { + "node_id": "node_844", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_843", + "improvement_over_parent": null + }, + "node_845": { + "node_id": "node_845", + "content": "INITIAL DESIGN (Trace 120)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 204.37 kg\n Factor of Safety: 0.84\n Max Deflection: 7.74e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.3675912470918, + "fos_buckling": 0.8446206158804777, + "fos_yielding": 1.0509304621528048, + "deflection": 0.007737407163594395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_846": { + "node_id": "node_846", + "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 205.94 kg\n Factor of Safety: 0.84\n Max Deflection: 7.72e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.9416839170304, + "fos_buckling": 0.8417806960805896, + "fos_yielding": 1.047396854078768, + "deflection": 0.0077155876392181405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.229)" + }, + "parent_node_id": "node_845", + "improvement_over_parent": null + }, + "node_847": { + "node_id": "node_847", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 228.08 kg\n Factor of Safety: 0.93\n Max Deflection: 6.98e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.0788340399754, + "fos_buckling": 0.9258763686084995, + "fos_yielding": 1.1619308633938685, + "deflection": 0.0069770558598902105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_846", + "improvement_over_parent": null + }, + "node_848": { + "node_id": "node_848", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 259.91 kg\n Factor of Safety: 1.04\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.9133098085657, + "fos_buckling": 1.0446108522565511, + "fos_yielding": 1.327440875858759, + "deflection": 0.006135481807542159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_847", + "improvement_over_parent": null + }, + "node_849": { + "node_id": "node_849", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 294.77 kg\n Factor of Safety: 1.17\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.77200520485, + "fos_buckling": 1.1716344533115342, + "fos_yielding": 1.5098432900593162, + "deflection": 0.005422379752809007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_848", + "improvement_over_parent": null + }, + "node_850": { + "node_id": "node_850", + "content": "MODIFICATION: Increase 9 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 298.17 kg\n Factor of Safety: 1.51\n Max Deflection: 5.35e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 298.16613906021263, + "fos_buckling": 1.5118190368022446, + "fos_yielding": 2.1904094230859377, + "deflection": 0.0053543875124154, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.517)" + }, + "parent_node_id": "node_849", + "improvement_over_parent": null + }, + "node_851": { + "node_id": "node_851", + "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.66 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.65790405625637, + "fos_buckling": 1.515076619430862, + "fos_yielding": 2.1869413911975935, + "deflection": 0.005150780898147696, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.277)" + }, + "parent_node_id": "node_850", + "improvement_over_parent": null + }, + "node_852": { + "node_id": "node_852", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_851", + "improvement_over_parent": null + }, + "node_853": { + "node_id": "node_853", + "content": "INITIAL DESIGN (Trace 121)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 236.66 kg\n Factor of Safety: 1.01\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.66315894313797, + "fos_buckling": 1.0063812483545278, + "fos_yielding": 1.9472004487441912, + "deflection": 0.006764090058714737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_854": { + "node_id": "node_854", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 239.20 kg\n Factor of Safety: 1.01\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.1987954005832, + "fos_buckling": 1.0061914608069025, + "fos_yielding": 2.0031133901934455, + "deflection": 0.006677940752587072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002113)" + }, + "parent_node_id": "node_853", + "improvement_over_parent": null + }, + "node_855": { + "node_id": "node_855", + "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 241.82 kg\n Factor of Safety: 1.01\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.81659215809918, + "fos_buckling": 1.0060935202718588, + "fos_yielding": 1.993384382440247, + "deflection": 0.0066535762639848735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.321)" + }, + "parent_node_id": "node_854", + "improvement_over_parent": null + }, + "node_856": { + "node_id": "node_856", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n\nPerformance:\n Mass: 263.82 kg\n Factor of Safety: 1.20\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.82328887668064, + "fos_buckling": 1.204979607327405, + "fos_yielding": 1.7259617154879572, + "deflection": 0.005880497718892557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004392)" + }, + "parent_node_id": "node_855", + "improvement_over_parent": null + }, + "node_857": { + "node_id": "node_857", + "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n\nPerformance:\n Mass: 268.66 kg\n Factor of Safety: 1.18\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 268.6565482892738, + "fos_buckling": 1.184392420548054, + "fos_yielding": 1.696473501749992, + "deflection": 0.005800149260959087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.493)" + }, + "parent_node_id": "node_856", + "improvement_over_parent": null + }, + "node_858": { + "node_id": "node_858", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 297.07 kg\n Factor of Safety: 1.30\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.06719837866837, + "fos_buckling": 1.295323970140714, + "fos_yielding": 1.8786954586176001, + "deflection": 0.0052567627879357435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_857", + "improvement_over_parent": null + }, + "node_859": { + "node_id": "node_859", + "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 299.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.19e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 299.4961000933023, + "fos_buckling": 1.513393342354584, + "fos_yielding": 2.19963336884552, + "deflection": 0.005186299903022664, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.376)" + }, + "parent_node_id": "node_858", + "improvement_over_parent": null + }, + "node_860": { + "node_id": "node_860", + "content": "MODIFICATION: Increase 14 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0030)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 300.21 kg\n Factor of Safety: 1.51\n Max Deflection: 5.18e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 300.21135562209594, + "fos_buckling": 1.5133126019260186, + "fos_yielding": 2.2027102750369396, + "deflection": 0.005182555269753319, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.289)" + }, + "parent_node_id": "node_859", + "improvement_over_parent": null + }, + "node_861": { + "node_id": "node_861", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_860", + "improvement_over_parent": null + }, + "node_862": { + "node_id": "node_862", + "content": "INITIAL DESIGN (Trace 122)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 181.81 kg\n Factor of Safety: 0.39\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.81254026501924, + "fos_buckling": 0.38864434281382376, + "fos_yielding": 1.102292264449236, + "deflection": 0.01419958860734214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_863": { + "node_id": "node_863", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n\nPerformance:\n Mass: 209.06 kg\n Factor of Safety: 0.89\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.05807185323528, + "fos_buckling": 0.8872687900540633, + "fos_yielding": 1.6756460294771607, + "deflection": 0.008032449144282503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004383)" + }, + "parent_node_id": "node_862", + "improvement_over_parent": null + }, + "node_864": { + "node_id": "node_864", + "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n\nPerformance:\n Mass: 209.83 kg\n Factor of Safety: 0.89\n Max Deflection: 8.01e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.82703085004016, + "fos_buckling": 0.8873078967926304, + "fos_yielding": 1.668916245820998, + "deflection": 0.008010544900194165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.616)" + }, + "parent_node_id": "node_863", + "improvement_over_parent": null + }, + "node_865": { + "node_id": "node_865", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n\nPerformance:\n Mass: 227.22 kg\n Factor of Safety: 1.19\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.22089575041227, + "fos_buckling": 1.1909624829944037, + "fos_yielding": 1.640571610536785, + "deflection": 0.006843477693342979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003502)" + }, + "parent_node_id": "node_864", + "improvement_over_parent": null + }, + "node_866": { + "node_id": "node_866", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n\nPerformance:\n Mass: 255.22 kg\n Factor of Safety: 1.31\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.22020055178373, + "fos_buckling": 1.314075276197231, + "fos_yielding": 1.8415547689703042, + "deflection": 0.006105736391170658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_865", + "improvement_over_parent": null + }, + "node_867": { + "node_id": "node_867", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5518659345938, + "fos_buckling": 1.5146181802756757, + "fos_yielding": 2.187883549911318, + "deflection": 0.005152492611298711, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_866", + "improvement_over_parent": null + }, + "node_868": { + "node_id": "node_868", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_867", + "improvement_over_parent": null + }, + "node_869": { + "node_id": "node_869", + "content": "INITIAL DESIGN (Trace 123)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 191.27 kg\n Factor of Safety: 0.78\n Max Deflection: 8.90e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.26922129736235, + "fos_buckling": 0.7801908627920497, + "fos_yielding": 1.4710815398766257, + "deflection": 0.00889941830668275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_870": { + "node_id": "node_870", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n\nPerformance:\n Mass: 202.75 kg\n Factor of Safety: 1.06\n Max Deflection: 7.69e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.748370642001, + "fos_buckling": 1.0633642547562066, + "fos_yielding": 1.4690573219794374, + "deflection": 0.00768887094572915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002870)" + }, + "parent_node_id": "node_869", + "improvement_over_parent": null + }, + "node_871": { + "node_id": "node_871", + "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n\nPerformance:\n Mass: 203.16 kg\n Factor of Safety: 1.07\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.16069255603264, + "fos_buckling": 1.069420126852004, + "fos_yielding": 1.4709433936114924, + "deflection": 0.007684283785118039, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.236)" + }, + "parent_node_id": "node_870", + "improvement_over_parent": null + }, + "node_872": { + "node_id": "node_872", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 262.16 kg\n Factor of Safety: 1.33\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.1551826244756, + "fos_buckling": 1.3320329080143931, + "fos_yielding": 1.895480973256436, + "deflection": 0.005980854878181663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_871", + "improvement_over_parent": null + }, + "node_873": { + "node_id": "node_873", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 302.96 kg\n Factor of Safety: 1.50\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.96325636055514, + "fos_buckling": 1.4992646576232702, + "fos_yielding": 2.1884622534816, + "deflection": 0.005190680190606716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_872", + "improvement_over_parent": null + }, + "node_874": { + "node_id": "node_874", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_873", + "improvement_over_parent": null + }, + "node_875": { + "node_id": "node_875", + "content": "INITIAL DESIGN (Trace 124)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 165.92 kg\n Factor of Safety: 0.21\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.9172110061488, + "fos_buckling": 0.2136553564752744, + "fos_yielding": 1.0018180392154021, + "deflection": 0.011825314377709334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_876": { + "node_id": "node_876", + "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 166.48 kg\n Factor of Safety: 0.30\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.48173540509603, + "fos_buckling": 0.2979553428961251, + "fos_yielding": 1.2186533070278747, + "deflection": 0.011589025101052395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.468)" + }, + "parent_node_id": "node_875", + "improvement_over_parent": null + }, + "node_877": { + "node_id": "node_877", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 213.41 kg\n Factor of Safety: 0.37\n Max Deflection: 9.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.41260533786217, + "fos_buckling": 0.3686848050341797, + "fos_yielding": 1.5593692764790583, + "deflection": 0.009070068719077848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_876", + "improvement_over_parent": null + }, + "node_878": { + "node_id": "node_878", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 253.45 kg\n Factor of Safety: 0.42\n Max Deflection: 7.66e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.45442450183964, + "fos_buckling": 0.4245045665252957, + "fos_yielding": 1.8490935250799234, + "deflection": 0.007658316098869478, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_877", + "improvement_over_parent": null + }, + "node_879": { + "node_id": "node_879", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 276.68 kg\n Factor of Safety: 0.53\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.6779448829876, + "fos_buckling": 0.5319064258777068, + "fos_yielding": 1.846951849938485, + "deflection": 0.006693483814824587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_878", + "improvement_over_parent": null + }, + "node_880": { + "node_id": "node_880", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.47 kg\n Factor of Safety: 1.50\n Max Deflection: 5.19e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 302.4685724254016, + "fos_buckling": 1.5005489561691336, + "fos_yielding": 2.1857362817109363, + "deflection": 0.005189080243632724, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_879", + "improvement_over_parent": null + }, + "node_881": { + "node_id": "node_881", + "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3488728293757, + "fos_buckling": 1.5137790163618459, + "fos_yielding": 2.186403895026267, + "deflection": 0.005155881174153048, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.206)" + }, + "parent_node_id": "node_880", + "improvement_over_parent": null + }, + "node_882": { + "node_id": "node_882", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_881", + "improvement_over_parent": null + }, + "node_883": { + "node_id": "node_883", + "content": "INITIAL DESIGN (Trace 125)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 291.42 kg\n Factor of Safety: 0.86\n Max Deflection: 5.45e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.4238313783371, + "fos_buckling": 0.8568144370809362, + "fos_yielding": 2.1430613229575397, + "deflection": 0.005449289376253741, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_884": { + "node_id": "node_884", + "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.46 kg\n Factor of Safety: 0.86\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.46101247663086, + "fos_buckling": 0.8593599325414502, + "fos_yielding": 2.143726704772529, + "deflection": 0.005323430661174035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.206)" + }, + "parent_node_id": "node_883", + "improvement_over_parent": null + }, + "node_885": { + "node_id": "node_885", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 298.27 kg\n Factor of Safety: 1.23\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.2652684557714, + "fos_buckling": 1.2302328844514163, + "fos_yielding": 2.213463331966322, + "deflection": 0.00521145557967386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_884", + "improvement_over_parent": null + }, + "node_886": { + "node_id": "node_886", + "content": "MODIFICATION: Increase 5 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 301.10 kg\n Factor of Safety: 1.48\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.0988417979238, + "fos_buckling": 1.4802085073305256, + "fos_yielding": 2.1964707264848915, + "deflection": 0.005175076063665678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.404)" + }, + "parent_node_id": "node_885", + "improvement_over_parent": null + }, + "node_887": { + "node_id": "node_887", + "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.40497820016833, + "fos_buckling": 1.5141141554545285, + "fos_yielding": 2.186959596710848, + "deflection": 0.00515489747461785, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.244)" + }, + "parent_node_id": "node_886", + "improvement_over_parent": null + }, + "node_888": { + "node_id": "node_888", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_887", + "improvement_over_parent": null + }, + "node_889": { + "node_id": "node_889", + "content": "INITIAL DESIGN (Trace 126)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 179.84 kg\n Factor of Safety: 1.06\n Max Deflection: 6.90e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.8369421843828, + "fos_buckling": 1.0557617604169276, + "fos_yielding": 1.1888567615515349, + "deflection": 6901567991946.716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_890": { + "node_id": "node_890", + "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 186.43 kg\n Factor of Safety: 0.96\n Max Deflection: 1.02e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.42586066596658, + "fos_buckling": 0.9553773866758989, + "fos_yielding": 1.8522599291826343, + "deflection": 10204730849725.709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.520)" + }, + "parent_node_id": "node_889", + "improvement_over_parent": null + }, + "node_891": { + "node_id": "node_891", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 200.36 kg\n Factor of Safety: 0.43\n Max Deflection: 8.87e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.3599496172049, + "fos_buckling": 0.4320682141749737, + "fos_yielding": 1.4314802289621835, + "deflection": 0.008872156079602006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003191)" + }, + "parent_node_id": "node_890", + "improvement_over_parent": null + }, + "node_892": { + "node_id": "node_892", + "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 0.43\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.9769780785407, + "fos_buckling": 0.43195322628270205, + "fos_yielding": 1.4313939324315648, + "deflection": 0.008812240631556605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.403)" + }, + "parent_node_id": "node_891", + "improvement_over_parent": null + }, + "node_893": { + "node_id": "node_893", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 264.26 kg\n Factor of Safety: 0.53\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.2603354156128, + "fos_buckling": 0.5325682493551486, + "fos_yielding": 1.8482223200933572, + "deflection": 0.006851207236886305, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_892", + "improvement_over_parent": null + }, + "node_894": { + "node_id": "node_894", + "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 268.91 kg\n Factor of Safety: 0.53\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 268.90850569817053, + "fos_buckling": 0.53238768644302, + "fos_yielding": 1.8480794865017265, + "deflection": 0.006810337353680588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.259)" + }, + "parent_node_id": "node_893", + "improvement_over_parent": null + }, + "node_895": { + "node_id": "node_895", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.70 kg\n Factor of Safety: 1.27\n Max Deflection: 5.41e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.6991332405845, + "fos_buckling": 1.2746238621529051, + "fos_yielding": 2.1872515391555436, + "deflection": 0.005405362639190996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_894", + "improvement_over_parent": null + }, + "node_896": { + "node_id": "node_896", + "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.45670033369083, + "fos_buckling": 1.5140282071217785, + "fos_yielding": 2.18745461452891, + "deflection": 0.005154199826523718, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.348)" + }, + "parent_node_id": "node_895", + "improvement_over_parent": null + }, + "node_897": { + "node_id": "node_897", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_896", + "improvement_over_parent": null + }, + "node_898": { + "node_id": "node_898", + "content": "INITIAL DESIGN (Trace 127)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 162.10 kg\n Factor of Safety: 0.40\n Max Deflection: 1.57e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.1039924966061, + "fos_buckling": 0.40010495360400816, + "fos_yielding": 1.298680398630886, + "deflection": 157030942186.80984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_899": { + "node_id": "node_899", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n\nPerformance:\n Mass: 174.08 kg\n Factor of Safety: 0.40\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.07573516555811, + "fos_buckling": 0.39815290799887365, + "fos_yielding": 1.2972512797413311, + "deflection": 0.010834064108775134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003001)" + }, + "parent_node_id": "node_898", + "improvement_over_parent": null + }, + "node_900": { + "node_id": "node_900", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 216.89 kg\n Factor of Safety: 0.48\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.8912979529221, + "fos_buckling": 0.4787357853735176, + "fos_yielding": 1.6134743363642812, + "deflection": 0.00872153225802001, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_899", + "improvement_over_parent": null + }, + "node_901": { + "node_id": "node_901", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 248.71 kg\n Factor of Safety: 0.53\n Max Deflection: 7.62e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.70724371194697, + "fos_buckling": 0.5343282877311346, + "fos_yielding": 1.8477249531986892, + "deflection": 0.007622836978965197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_900", + "improvement_over_parent": null + }, + "node_902": { + "node_id": "node_902", + "content": "MODIFICATION: Increase 6 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 249.80 kg\n Factor of Safety: 0.53\n Max Deflection: 7.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.80424461485407, + "fos_buckling": 0.5341565228819384, + "fos_yielding": 1.8475900168017658, + "deflection": 0.007623766973886364, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.451)" + }, + "parent_node_id": "node_901", + "improvement_over_parent": null + }, + "node_903": { + "node_id": "node_903", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 270.12 kg\n Factor of Safety: 0.53\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.11757949688086, + "fos_buckling": 0.5317824413703963, + "fos_yielding": 1.8457180736440355, + "deflection": 0.0076097469098708286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_902", + "improvement_over_parent": null + }, + "node_904": { + "node_id": "node_904", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 275.69 kg\n Factor of Safety: 0.53\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.6917791618571, + "fos_buckling": 0.5313504071566029, + "fos_yielding": 1.7874970719794994, + "deflection": 0.006685433397994292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_903", + "improvement_over_parent": null + }, + "node_905": { + "node_id": "node_905", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.48 kg\n Factor of Safety: 1.24\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.48240670427106, + "fos_buckling": 1.242227948893874, + "fos_yielding": 1.790260574634698, + "deflection": 0.00523974543306195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_904", + "improvement_over_parent": null + }, + "node_906": { + "node_id": "node_906", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_905", + "improvement_over_parent": null + }, + "node_907": { + "node_id": "node_907", + "content": "INITIAL DESIGN (Trace 128)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 240.06 kg\n Factor of Safety: 0.79\n Max Deflection: 7.15e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.06211217228105, + "fos_buckling": 0.7860133193399812, + "fos_yielding": 1.9096464165835934, + "deflection": 0.0071524227335545065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_908": { + "node_id": "node_908", + "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 241.34 kg\n Factor of Safety: 1.00\n Max Deflection: 6.98e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.34340862168952, + "fos_buckling": 1.0017299509457671, + "fos_yielding": 1.9182302016445183, + "deflection": 0.006977997313808805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.393)" + }, + "parent_node_id": "node_907", + "improvement_over_parent": null + }, + "node_909": { + "node_id": "node_909", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.01 kg\n Factor of Safety: 1.13\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.01303403342564, + "fos_buckling": 1.134565211690037, + "fos_yielding": 2.2236273656590337, + "deflection": 0.006028933795690085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_908", + "improvement_over_parent": null + }, + "node_910": { + "node_id": "node_910", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.24 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2365544145736, + "fos_buckling": 1.5133449535749963, + "fos_yielding": 2.1855339105428895, + "deflection": 0.005157737943433298, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_909", + "improvement_over_parent": null + }, + "node_911": { + "node_id": "node_911", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_910", + "improvement_over_parent": null + }, + "node_912": { + "node_id": "node_912", + "content": "INITIAL DESIGN (Trace 129)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 172.49 kg\n Factor of Safety: 0.72\n Max Deflection: 9.25e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.48540918900616, + "fos_buckling": 0.7161114016505015, + "fos_yielding": 1.4677873468665372, + "deflection": 0.009252448175430947, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_913": { + "node_id": "node_913", + "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 177.63 kg\n Factor of Safety: 0.72\n Max Deflection: 9.07e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.6256043481378, + "fos_buckling": 0.7158394147935826, + "fos_yielding": 1.4677873468665374, + "deflection": 0.0090742256862973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.555)" + }, + "parent_node_id": "node_912", + "improvement_over_parent": null + }, + "node_914": { + "node_id": "node_914", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n\nPerformance:\n Mass: 183.86 kg\n Factor of Safety: 0.94\n Max Deflection: 8.39e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.8598672262366, + "fos_buckling": 0.9417222363300293, + "fos_yielding": 1.3465434517730672, + "deflection": 0.008386774034696311, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.001782)" + }, + "parent_node_id": "node_913", + "improvement_over_parent": null + }, + "node_915": { + "node_id": "node_915", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n\nPerformance:\n Mass: 240.73 kg\n Factor of Safety: 1.19\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.7324460882298, + "fos_buckling": 1.1935534046901373, + "fos_yielding": 1.760511769366774, + "deflection": 0.006433920464244388, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_914", + "improvement_over_parent": null + }, + "node_916": { + "node_id": "node_916", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n\nPerformance:\n Mass: 300.42 kg\n Factor of Safety: 1.44\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.42480673454827, + "fos_buckling": 1.4385678413196226, + "fos_yielding": 2.193674494646282, + "deflection": 0.005179544290509871, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_915", + "improvement_over_parent": null + }, + "node_917": { + "node_id": "node_917", + "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0055)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n\nPerformance:\n Mass: 302.61 kg\n Factor of Safety: 1.44\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.6085349408584, + "fos_buckling": 1.4375617579952686, + "fos_yielding": 2.1935459065923695, + "deflection": 0.005140296622722532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.259)" + }, + "parent_node_id": "node_916", + "improvement_over_parent": null + }, + "node_918": { + "node_id": "node_918", + "content": "MODIFICATION: Increase 8 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0055)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0061)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n\nPerformance:\n Mass: 305.62 kg\n Factor of Safety: 1.34\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.61966491171984, + "fos_buckling": 1.3393721353966201, + "fos_yielding": 2.7991167041873113, + "deflection": 0.0051086551621257114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.323)" + }, + "parent_node_id": "node_917", + "improvement_over_parent": null + }, + "node_919": { + "node_id": "node_919", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_918", + "improvement_over_parent": null + }, + "node_920": { + "node_id": "node_920", + "content": "INITIAL DESIGN (Trace 130)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 149.71 kg\n Factor of Safety: 0.78\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.70824657662212, + "fos_buckling": 0.7787970356881614, + "fos_yielding": 1.0994551434351485, + "deflection": 0.010279788913955116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_921": { + "node_id": "node_921", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 173.09 kg\n Factor of Safety: 0.89\n Max Deflection: 8.91e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.09052681671147, + "fos_buckling": 0.8889571646223803, + "fos_yielding": 1.2704169810763533, + "deflection": 0.008907423323479902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_920", + "improvement_over_parent": null + }, + "node_922": { + "node_id": "node_922", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 205.39 kg\n Factor of Safety: 1.04\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.39288956043183, + "fos_buckling": 1.0361789574310338, + "fos_yielding": 1.5062565629025348, + "deflection": 0.007525525884546885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_921", + "improvement_over_parent": null + }, + "node_923": { + "node_id": "node_923", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 243.61 kg\n Factor of Safety: 1.20\n Max Deflection: 6.36e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.61142534396757, + "fos_buckling": 1.203013965193458, + "fos_yielding": 1.7847723797524213, + "deflection": 0.006363841019775292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_922", + "improvement_over_parent": null + }, + "node_924": { + "node_id": "node_924", + "content": "MODIFICATION: Increase 5 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 245.94 kg\n Factor of Safety: 1.27\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.93728592256764, + "fos_buckling": 1.2738030043548323, + "fos_yielding": 1.7749359882054092, + "deflection": 0.006331737895589292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.314)" + }, + "parent_node_id": "node_923", + "improvement_over_parent": null + }, + "node_925": { + "node_id": "node_925", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.72 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.7196467609929, + "fos_buckling": 1.5152689114747735, + "fos_yielding": 2.1890683982099457, + "deflection": 0.005149730369204718, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_924", + "improvement_over_parent": null + }, + "node_926": { + "node_id": "node_926", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_925", + "improvement_over_parent": null + }, + "node_927": { + "node_id": "node_927", + "content": "INITIAL DESIGN (Trace 131)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 185.87 kg\n Factor of Safety: 0.69\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.86658009160507, + "fos_buckling": 0.6947521159731384, + "fos_yielding": 1.6649191612812018, + "deflection": 0.010011584984019481, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_928": { + "node_id": "node_928", + "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 187.97 kg\n Factor of Safety: 0.69\n Max Deflection: 9.99e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.97252197038355, + "fos_buckling": 0.6946974354525999, + "fos_yielding": 1.6576558516128572, + "deflection": 0.009988706613411745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.307)" + }, + "parent_node_id": "node_927", + "improvement_over_parent": null + }, + "node_929": { + "node_id": "node_929", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 208.27 kg\n Factor of Safety: 0.76\n Max Deflection: 9.02e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.26695457794492, + "fos_buckling": 0.7621005213533304, + "fos_yielding": 1.8352386189915026, + "deflection": 0.009022749758922666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_928", + "improvement_over_parent": null + }, + "node_930": { + "node_id": "node_930", + "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 211.35 kg\n Factor of Safety: 0.76\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.35332487618808, + "fos_buckling": 0.7619249978567332, + "fos_yielding": 1.8351984393884044, + "deflection": 0.008727705640849057, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.185)" + }, + "parent_node_id": "node_929", + "improvement_over_parent": null + }, + "node_931": { + "node_id": "node_931", + "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 216.68 kg\n Factor of Safety: 0.93\n Max Deflection: 8.17e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.68437398532436, + "fos_buckling": 0.9323756651282468, + "fos_yielding": 1.8349902623749024, + "deflection": 0.008174175159627194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.355)" + }, + "parent_node_id": "node_930", + "improvement_over_parent": null + }, + "node_932": { + "node_id": "node_932", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 230.78 kg\n Factor of Safety: 0.96\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.77855584524357, + "fos_buckling": 0.9636268644987217, + "fos_yielding": 1.8348068426546316, + "deflection": 0.007292151448806356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003574)" + }, + "parent_node_id": "node_931", + "improvement_over_parent": null + }, + "node_933": { + "node_id": "node_933", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 280.37 kg\n Factor of Safety: 1.14\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.3718045524411, + "fos_buckling": 1.1352363955733076, + "fos_yielding": 2.2265857563600595, + "deflection": 0.006020985531581475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_932", + "improvement_over_parent": null + }, + "node_934": { + "node_id": "node_934", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5953249335891, + "fos_buckling": 1.5148569217279817, + "fos_yielding": 2.1884632768425676, + "deflection": 0.005151421859151099, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_933", + "improvement_over_parent": null + }, + "node_935": { + "node_id": "node_935", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_934", + "improvement_over_parent": null + }, + "node_936": { + "node_id": "node_936", + "content": "INITIAL DESIGN (Trace 132)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0011)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 125.61 kg\n Factor of Safety: 0.43\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.60947788106952, + "fos_buckling": 0.4301852006052771, + "fos_yielding": 0.9498849264378457, + "deflection": 0.014736239117495248, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_937": { + "node_id": "node_937", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0011)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n\nPerformance:\n Mass: 128.05 kg\n Factor of Safety: 0.69\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.05211581871123, + "fos_buckling": 0.6858815490740068, + "fos_yielding": 0.9623344704262123, + "deflection": 0.011990694118937328, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001384)" + }, + "parent_node_id": "node_936", + "improvement_over_parent": null + }, + "node_938": { + "node_id": "node_938", + "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0011)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n\nPerformance:\n Mass: 131.06 kg\n Factor of Safety: 0.68\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.0584872836299, + "fos_buckling": 0.6847121687102826, + "fos_yielding": 0.9632666375848213, + "deflection": 0.011906586906763559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.355)" + }, + "parent_node_id": "node_937", + "improvement_over_parent": null + }, + "node_939": { + "node_id": "node_939", + "content": "MODIFICATION: Increase 11 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0011)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n\nPerformance:\n Mass: 135.40 kg\n Factor of Safety: 0.68\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.3953140063492, + "fos_buckling": 0.6835439652229179, + "fos_yielding": 0.9640879834112662, + "deflection": 0.011831880912055557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.391)" + }, + "parent_node_id": "node_938", + "improvement_over_parent": null + }, + "node_940": { + "node_id": "node_940", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0013)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n\nPerformance:\n Mass: 166.56 kg\n Factor of Safety: 0.83\n Max Deflection: 9.63e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.56275573023984, + "fos_buckling": 0.8263257481501666, + "fos_yielding": 1.1860962830119124, + "deflection": 0.009633588961271405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_939", + "improvement_over_parent": null + }, + "node_941": { + "node_id": "node_941", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0016)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0052)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n\nPerformance:\n Mass: 196.67 kg\n Factor of Safety: 0.96\n Max Deflection: 8.17e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.6655577646224, + "fos_buckling": 0.9591040634296135, + "fos_yielding": 1.40059144501005, + "deflection": 0.008171559693872352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_940", + "improvement_over_parent": null + }, + "node_942": { + "node_id": "node_942", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0069)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 256.10 kg\n Factor of Safety: 1.21\n Max Deflection: 6.29e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.09531408216714, + "fos_buckling": 1.2065324723175788, + "fos_yielding": 1.8243475708255885, + "deflection": 0.006293549444095062, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_941", + "improvement_over_parent": null + }, + "node_943": { + "node_id": "node_943", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0084)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 307.37 kg\n Factor of Safety: 1.40\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 307.3725505065108, + "fos_buckling": 1.4044277795854878, + "fos_yielding": 2.1904181675846823, + "deflection": 0.005256059576821858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_942", + "improvement_over_parent": null + }, + "node_944": { + "node_id": "node_944", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_943", + "improvement_over_parent": null + }, + "node_945": { + "node_id": "node_945", + "content": "INITIAL DESIGN (Trace 133)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 182.53 kg\n Factor of Safety: 0.75\n Max Deflection: 9.34e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.52909288283286, + "fos_buckling": 0.7464995363245832, + "fos_yielding": 1.3994484650864685, + "deflection": 0.009340304082649235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_946": { + "node_id": "node_946", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 220.20 kg\n Factor of Safety: 0.88\n Max Deflection: 7.77e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.20261519672368, + "fos_buckling": 0.8780742518390556, + "fos_yielding": 1.6867895013201735, + "deflection": 0.0077657371397259695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_945", + "improvement_over_parent": null + }, + "node_947": { + "node_id": "node_947", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n\nPerformance:\n Mass: 233.37 kg\n Factor of Safety: 1.22\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.36612400317424, + "fos_buckling": 1.2184004353709894, + "fos_yielding": 1.6847574155763643, + "deflection": 0.006666334605783653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003321)" + }, + "parent_node_id": "node_946", + "improvement_over_parent": null + }, + "node_948": { + "node_id": "node_948", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.52743710386096, + "fos_buckling": 1.5145003771935885, + "fos_yielding": 2.1877748650411015, + "deflection": 0.005152850730702691, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_947", + "improvement_over_parent": null + }, + "node_949": { + "node_id": "node_949", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_948", + "improvement_over_parent": null + }, + "node_950": { + "node_id": "node_950", + "content": "INITIAL DESIGN (Trace 134)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 190.20 kg\n Factor of Safety: 0.79\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.2023306205678, + "fos_buckling": 0.7912033181500859, + "fos_yielding": 1.6465111071731178, + "deflection": 0.008251234433997199, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_951": { + "node_id": "node_951", + "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 190.90 kg\n Factor of Safety: 0.79\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.89857091846125, + "fos_buckling": 0.7911220870462137, + "fos_yielding": 1.6465111071731178, + "deflection": 0.008196098534327926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.236)" + }, + "parent_node_id": "node_950", + "improvement_over_parent": null + }, + "node_952": { + "node_id": "node_952", + "content": "MODIFICATION: Increase 11 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 196.04 kg\n Factor of Safety: 0.79\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.04246988443037, + "fos_buckling": 0.7908221594941114, + "fos_yielding": 1.6465111071731178, + "deflection": 0.008058789895740588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.471)" + }, + "parent_node_id": "node_951", + "improvement_over_parent": null + }, + "node_953": { + "node_id": "node_953", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 208.43 kg\n Factor of Safety: 1.11\n Max Deflection: 7.45e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.42792578943664, + "fos_buckling": 1.1054932314970558, + "fos_yielding": 1.5054557496605148, + "deflection": 0.007449975828966158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002814)" + }, + "parent_node_id": "node_952", + "improvement_over_parent": null + }, + "node_954": { + "node_id": "node_954", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 232.56 kg\n Factor of Safety: 1.21\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.56397561521007, + "fos_buckling": 1.2148905445716207, + "fos_yielding": 1.67886407367546, + "deflection": 0.006689126598928009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_953", + "improvement_over_parent": null + }, + "node_955": { + "node_id": "node_955", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 271.35 kg\n Factor of Safety: 1.38\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 271.3466032511413, + "fos_buckling": 1.382719264563338, + "fos_yielding": 1.9571032887491506, + "deflection": 0.0057500496104123154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_954", + "improvement_over_parent": null + }, + "node_956": { + "node_id": "node_956", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.69 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.691728131761, + "fos_buckling": 1.5152356961947384, + "fos_yielding": 2.18878223735171, + "deflection": 0.005150282928398071, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_955", + "improvement_over_parent": null + }, + "node_957": { + "node_id": "node_957", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_956", + "improvement_over_parent": null + }, + "node_958": { + "node_id": "node_958", + "content": "INITIAL DESIGN (Trace 135)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0016)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 158.60 kg\n Factor of Safety: 0.68\n Max Deflection: 9.81e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.59810772400698, + "fos_buckling": 0.6784145390110836, + "fos_yielding": 0.8805998406623078, + "deflection": 0.009814960042988801, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_959": { + "node_id": "node_959", + "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0016)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 160.23 kg\n Factor of Safety: 0.67\n Max Deflection: 9.71e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.2328939426193, + "fos_buckling": 0.6720960735165074, + "fos_yielding": 1.2094565915717892, + "deflection": 0.009712922604528402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.408)" + }, + "parent_node_id": "node_958", + "improvement_over_parent": null + }, + "node_960": { + "node_id": "node_960", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 191.32 kg\n Factor of Safety: 0.80\n Max Deflection: 8.15e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.31728343517437, + "fos_buckling": 0.7953979068748646, + "fos_yielding": 1.4426079343791822, + "deflection": 0.008152184629336588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_959", + "improvement_over_parent": null + }, + "node_961": { + "node_id": "node_961", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 237.49 kg\n Factor of Safety: 0.97\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.48860437211812, + "fos_buckling": 0.9742364655247119, + "fos_yielding": 1.7879983669089092, + "deflection": 0.00658802407526898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_960", + "improvement_over_parent": null + }, + "node_962": { + "node_id": "node_962", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 291.09 kg\n Factor of Safety: 1.18\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.08785871176906, + "fos_buckling": 1.1753294927905527, + "fos_yielding": 2.1875347176487687, + "deflection": 0.005394531967995363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_961", + "improvement_over_parent": null + }, + "node_963": { + "node_id": "node_963", + "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.84 kg\n Factor of Safety: 1.24\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.8429825774431, + "fos_buckling": 1.2441994781787054, + "fos_yielding": 2.1892154615973656, + "deflection": 0.005266903673004329, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.185)" + }, + "parent_node_id": "node_962", + "improvement_over_parent": null + }, + "node_964": { + "node_id": "node_964", + "content": "MODIFICATION: Increase 13 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.08 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.0774842185112, + "fos_buckling": 1.5127588288969709, + "fos_yielding": 2.1841783578787104, + "deflection": 0.005160480416746144, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.603)" + }, + "parent_node_id": "node_963", + "improvement_over_parent": null + }, + "node_965": { + "node_id": "node_965", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_964", + "improvement_over_parent": null + }, + "node_966": { + "node_id": "node_966", + "content": "INITIAL DESIGN (Trace 136)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 238.09 kg\n Factor of Safety: 0.60\n Max Deflection: 8.27e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.08511625032898, + "fos_buckling": 0.6045252295815148, + "fos_yielding": 1.7671237571010574, + "deflection": 0.008271851178148404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_967": { + "node_id": "node_967", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 242.63 kg\n Factor of Safety: 1.12\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.63379798275113, + "fos_buckling": 1.118640551198737, + "fos_yielding": 1.7897444012109363, + "deflection": 0.006378377204369172, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002666)" + }, + "parent_node_id": "node_966", + "improvement_over_parent": null + }, + "node_968": { + "node_id": "node_968", + "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0047)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 247.71 kg\n Factor of Safety: 1.11\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.71184106101126, + "fos_buckling": 1.1126940032571344, + "fos_yielding": 1.7772925443292669, + "deflection": 0.006340217356869838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.383)" + }, + "parent_node_id": "node_967", + "improvement_over_parent": null + }, + "node_969": { + "node_id": "node_969", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0058)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.34\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.3405221145929, + "fos_buckling": 1.3356901145178766, + "fos_yielding": 2.1743994546661103, + "deflection": 0.005196419004568969, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_968", + "improvement_over_parent": null + }, + "node_970": { + "node_id": "node_970", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_969", + "improvement_over_parent": null + }, + "node_971": { + "node_id": "node_971", + "content": "INITIAL DESIGN (Trace 137)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 206.07 kg\n Factor of Safety: 0.43\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.0730715125014, + "fos_buckling": 0.42988688551790566, + "fos_yielding": 1.408710785827612, + "deflection": 0.008768196422566462, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_972": { + "node_id": "node_972", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 230.35 kg\n Factor of Safety: 0.47\n Max Deflection: 7.86e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.34738634663924, + "fos_buckling": 0.47206168994143455, + "fos_yielding": 1.5733307570757844, + "deflection": 0.007858361673639772, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_971", + "improvement_over_parent": null + }, + "node_973": { + "node_id": "node_973", + "content": "MODIFICATION: Increase 13 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 237.66 kg\n Factor of Safety: 0.47\n Max Deflection: 7.86e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.65547565396542, + "fos_buckling": 0.4723180239450836, + "fos_yielding": 1.5735227887399101, + "deflection": 0.007858365488398618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.541)" + }, + "parent_node_id": "node_972", + "improvement_over_parent": null + }, + "node_974": { + "node_id": "node_974", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.07 kg\n Factor of Safety: 0.54\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.06756008832326, + "fos_buckling": 0.5400075490396231, + "fos_yielding": 1.8523525971967587, + "deflection": 0.0066865285745429555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_973", + "improvement_over_parent": null + }, + "node_975": { + "node_id": "node_975", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 282.87 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.8718160674638, + "fos_buckling": 0.9050998223413389, + "fos_yielding": 2.1592822295828666, + "deflection": 0.005603784022357858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_974", + "improvement_over_parent": null + }, + "node_976": { + "node_id": "node_976", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.19 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.1851509494906, + "fos_buckling": 1.513001154009367, + "fos_yielding": 2.185106168694023, + "deflection": 0.005158874603141249, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_975", + "improvement_over_parent": null + }, + "node_977": { + "node_id": "node_977", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_976", + "improvement_over_parent": null + }, + "node_978": { + "node_id": "node_978", + "content": "INITIAL DESIGN (Trace 138)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 155.52 kg\n Factor of Safety: 0.76\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.52205468902446, + "fos_buckling": 0.7649180781463496, + "fos_yielding": 0.9447808820897731, + "deflection": 0.01035002828110549, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_979": { + "node_id": "node_979", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 202.28 kg\n Factor of Safety: 0.98\n Max Deflection: 7.98e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.275723069421, + "fos_buckling": 0.975402893386349, + "fos_yielding": 1.2307985121701703, + "deflection": 0.007980556776968961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_978", + "improvement_over_parent": null + }, + "node_980": { + "node_id": "node_980", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 241.38 kg\n Factor of Safety: 1.14\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.3799626637422, + "fos_buckling": 1.144488151544728, + "fos_yielding": 1.4709068977462014, + "deflection": 0.0067034573107666445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_979", + "improvement_over_parent": null + }, + "node_981": { + "node_id": "node_981", + "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 249.73 kg\n Factor of Safety: 1.14\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.72644287416202, + "fos_buckling": 1.1407614645867001, + "fos_yielding": 1.466117324743715, + "deflection": 0.006200087411863751, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.603)" + }, + "parent_node_id": "node_980", + "improvement_over_parent": null + }, + "node_982": { + "node_id": "node_982", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 292.58 kg\n Factor of Safety: 1.31\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.5837996482647, + "fos_buckling": 1.3127904265096972, + "fos_yielding": 1.721277886373048, + "deflection": 0.005309268021243275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_981", + "improvement_over_parent": null + }, + "node_983": { + "node_id": "node_983", + "content": "MODIFICATION: Increase 11 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.16 kg\n Factor of Safety: 1.31\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.16248605289206, + "fos_buckling": 1.3125034779694666, + "fos_yielding": 1.7209016510144926, + "deflection": 0.005194523826000608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.597)" + }, + "parent_node_id": "node_982", + "improvement_over_parent": null + }, + "node_984": { + "node_id": "node_984", + "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4894205576755, + "fos_buckling": 1.51425721637817, + "fos_yielding": 2.1867101246201877, + "deflection": 0.005153086782148056, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.309)" + }, + "parent_node_id": "node_983", + "improvement_over_parent": null + }, + "node_985": { + "node_id": "node_985", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_984", + "improvement_over_parent": null + }, + "node_986": { + "node_id": "node_986", + "content": "INITIAL DESIGN (Trace 139)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 210.21 kg\n Factor of Safety: 0.37\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.20788908192736, + "fos_buckling": 0.36581121642803494, + "fos_yielding": 1.0850677380153346, + "deflection": 0.016742349972783996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_987": { + "node_id": "node_987", + "content": "MODIFICATION: Increase 4 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 213.97 kg\n Factor of Safety: 0.37\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.97021031991198, + "fos_buckling": 0.3657598655315494, + "fos_yielding": 1.1256654567509905, + "deflection": 0.016615578686623583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.647)" + }, + "parent_node_id": "node_986", + "improvement_over_parent": null + }, + "node_988": { + "node_id": "node_988", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n\nPerformance:\n Mass: 234.51 kg\n Factor of Safety: 0.73\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.50950258353782, + "fos_buckling": 0.7268756898931753, + "fos_yielding": 1.7024697097885608, + "deflection": 0.008249432204592944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004205)" + }, + "parent_node_id": "node_987", + "improvement_over_parent": null + }, + "node_989": { + "node_id": "node_989", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 238.90 kg\n Factor of Safety: 1.24\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.89772792225614, + "fos_buckling": 1.242901525033027, + "fos_yielding": 1.724418285276718, + "deflection": 0.006514817314754899, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002565)" + }, + "parent_node_id": "node_988", + "improvement_over_parent": null + }, + "node_990": { + "node_id": "node_990", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.52888812158506, + "fos_buckling": 1.5145024961973588, + "fos_yielding": 2.187715532849193, + "deflection": 0.005152894636303294, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_989", + "improvement_over_parent": null + }, + "node_991": { + "node_id": "node_991", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_990", + "improvement_over_parent": null + }, + "node_992": { + "node_id": "node_992", + "content": "INITIAL DESIGN (Trace 140)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_993": { + "node_id": "node_993", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 183.38 kg\n Factor of Safety: 0.63\n Max Deflection: 3.57e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.3819834912136, + "fos_buckling": 0.6263582749593033, + "fos_yielding": 1.58514234873538, + "deflection": 3573572062588.7925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003619)" + }, + "parent_node_id": "node_992", + "improvement_over_parent": null + }, + "node_994": { + "node_id": "node_994", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n\nPerformance:\n Mass: 214.98 kg\n Factor of Safety: 0.40\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.98084693570928, + "fos_buckling": 0.3975010324059793, + "fos_yielding": 0.9443482168897334, + "deflection": 0.0150938011371229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005141)" + }, + "parent_node_id": "node_993", + "improvement_over_parent": null + }, + "node_995": { + "node_id": "node_995", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 226.00 kg\n Factor of Safety: 0.40\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.00138998420684, + "fos_buckling": 0.39733776939835863, + "fos_yielding": 1.239606331619065, + "deflection": 0.0140694346965438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003260)" + }, + "parent_node_id": "node_994", + "improvement_over_parent": null + }, + "node_996": { + "node_id": "node_996", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 260.35 kg\n Factor of Safety: 0.45\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.3543242757932, + "fos_buckling": 0.44601967864313785, + "fos_yielding": 1.4233876332394977, + "deflection": 0.012251907596481159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_995", + "improvement_over_parent": null + }, + "node_997": { + "node_id": "node_997", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 286.44 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.44211655856935, + "fos_buckling": 1.091190094587496, + "fos_yielding": 2.1908776773502003, + "deflection": 0.0060016136234160205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_996", + "improvement_over_parent": null + }, + "node_998": { + "node_id": "node_998", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.56 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5600717901438, + "fos_buckling": 1.5146714077192482, + "fos_yielding": 2.1881556348828646, + "deflection": 0.005152379532216749, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_997", + "improvement_over_parent": null + }, + "node_999": { + "node_id": "node_999", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_998", + "improvement_over_parent": null + }, + "node_1000": { + "node_id": "node_1000", + "content": "INITIAL DESIGN (Trace 141)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 248.46 kg\n Factor of Safety: 0.92\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.4625197573771, + "fos_buckling": 0.9226227746112493, + "fos_yielding": 2.217561584197869, + "deflection": 0.0072847549451281355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1001": { + "node_id": "node_1001", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 261.15 kg\n Factor of Safety: 0.92\n Max Deflection: 6.74e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.1508910158657, + "fos_buckling": 0.9235244069516544, + "fos_yielding": 2.1623374815324046, + "deflection": 0.006742448117605435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_1000", + "improvement_over_parent": null + }, + "node_1002": { + "node_id": "node_1002", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 266.73 kg\n Factor of Safety: 1.09\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.7250906808419, + "fos_buckling": 1.0924757014289737, + "fos_yielding": 2.183234677013186, + "deflection": 0.0064169649078482036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1001", + "improvement_over_parent": null + }, + "node_1003": { + "node_id": "node_1003", + "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 267.68 kg\n Factor of Safety: 1.09\n Max Deflection: 6.41e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.682915863084, + "fos_buckling": 1.0923979953776701, + "fos_yielding": 2.188091373540649, + "deflection": 0.006410625698546205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.391)" + }, + "parent_node_id": "node_1002", + "improvement_over_parent": null + }, + "node_1004": { + "node_id": "node_1004", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 292.02 kg\n Factor of Safety: 1.15\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.0240438684609, + "fos_buckling": 1.1461170110043313, + "fos_yielding": 1.8569531397353456, + "deflection": 0.005614159014268202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_1003", + "improvement_over_parent": null + }, + "node_1005": { + "node_id": "node_1005", + "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 301.86 kg\n Factor of Safety: 1.29\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.8593618278991, + "fos_buckling": 1.2851788147830039, + "fos_yielding": 1.8617694389898605, + "deflection": 0.0052245534678437055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.664)" + }, + "parent_node_id": "node_1004", + "improvement_over_parent": null + }, + "node_1006": { + "node_id": "node_1006", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1005", + "improvement_over_parent": null + }, + "node_1007": { + "node_id": "node_1007", + "content": "INITIAL DESIGN (Trace 142)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 217.48 kg\n Factor of Safety: 0.87\n Max Deflection: 7.66e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.4821535046388, + "fos_buckling": 0.8657573375862926, + "fos_yielding": 1.6978831795134781, + "deflection": 0.007664063410263908, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1008": { + "node_id": "node_1008", + "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 221.80 kg\n Factor of Safety: 1.08\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.80120550622206, + "fos_buckling": 1.0755863246113448, + "fos_yielding": 1.7012444865585032, + "deflection": 0.007293909192073428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.362)" + }, + "parent_node_id": "node_1007", + "improvement_over_parent": null + }, + "node_1009": { + "node_id": "node_1009", + "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 225.10 kg\n Factor of Safety: 1.11\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.10466836329124, + "fos_buckling": 1.1122877976133418, + "fos_yielding": 1.7029368382188983, + "deflection": 0.00710474937525407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.209)" + }, + "parent_node_id": "node_1008", + "improvement_over_parent": null + }, + "node_1010": { + "node_id": "node_1010", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 290.54 kg\n Factor of Safety: 1.40\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.53912227169445, + "fos_buckling": 1.396599867282562, + "fos_yielding": 2.1928886457512826, + "deflection": 0.005527738684350329, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_1009", + "improvement_over_parent": null + }, + "node_1011": { + "node_id": "node_1011", + "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.78 kg\n Factor of Safety: 1.38\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.7843375186738, + "fos_buckling": 1.3815504051753291, + "fos_yielding": 2.188025926509081, + "deflection": 0.005241311107832823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.397)" + }, + "parent_node_id": "node_1010", + "improvement_over_parent": null + }, + "node_1012": { + "node_id": "node_1012", + "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.53494970814694, + "fos_buckling": 1.5143792831027854, + "fos_yielding": 2.187665499631758, + "deflection": 0.005152295580158137, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.555)" + }, + "parent_node_id": "node_1011", + "improvement_over_parent": null + }, + "node_1013": { + "node_id": "node_1013", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1012", + "improvement_over_parent": null + }, + "node_1014": { + "node_id": "node_1014", + "content": "INITIAL DESIGN (Trace 143)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 214.15 kg\n Factor of Safety: 1.06\n Max Deflection: 7.26e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.14820691473724, + "fos_buckling": 1.055822423382058, + "fos_yielding": 1.4908845883269999, + "deflection": 0.007258005443334874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1015": { + "node_id": "node_1015", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 237.49 kg\n Factor of Safety: 1.16\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.49057659253035, + "fos_buckling": 1.1587267420315137, + "fos_yielding": 1.654217607938213, + "deflection": 0.0065559400919766855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_1014", + "improvement_over_parent": null + }, + "node_1016": { + "node_id": "node_1016", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.52 kg\n Factor of Safety: 1.40\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.51839134516933, + "fos_buckling": 1.4000010402154694, + "fos_yielding": 2.054269796404502, + "deflection": 0.005308762160832559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_1015", + "improvement_over_parent": null + }, + "node_1017": { + "node_id": "node_1017", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.96 kg\n Factor of Safety: 1.39\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.9555835945243, + "fos_buckling": 1.389104508688703, + "fos_yielding": 2.0382809399979664, + "deflection": 0.005249077727940587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.381)" + }, + "parent_node_id": "node_1016", + "improvement_over_parent": null + }, + "node_1018": { + "node_id": "node_1018", + "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.75 kg\n Factor of Safety: 1.51\n Max Deflection: 5.20e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 297.7500342026978, + "fos_buckling": 1.5132949354851502, + "fos_yielding": 2.201638271727673, + "deflection": 0.005201169655391536, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.255)" + }, + "parent_node_id": "node_1017", + "improvement_over_parent": null + }, + "node_1019": { + "node_id": "node_1019", + "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.71 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 302.707450064573, + "fos_buckling": 1.5134922165279694, + "fos_yielding": 2.182395843494668, + "deflection": 0.0051589828212633545, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.416)" + }, + "parent_node_id": "node_1018", + "improvement_over_parent": null + }, + "node_1020": { + "node_id": "node_1020", + "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.45006545855836, + "fos_buckling": 1.5142517136273907, + "fos_yielding": 2.1871785212052153, + "deflection": 0.0051541121022140755, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.395)" + }, + "parent_node_id": "node_1019", + "improvement_over_parent": null + }, + "node_1021": { + "node_id": "node_1021", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1020", + "improvement_over_parent": null + }, + "node_1022": { + "node_id": "node_1022", + "content": "INITIAL DESIGN (Trace 144)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 243.24 kg\n Factor of Safety: 1.04\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.24478923396197, + "fos_buckling": 1.0449900802795546, + "fos_yielding": 1.8128415085969474, + "deflection": 0.00666473256276369, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1023": { + "node_id": "node_1023", + "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 250.34 kg\n Factor of Safety: 1.08\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.33556535491664, + "fos_buckling": 1.0792862405423005, + "fos_yielding": 1.8169505227235994, + "deflection": 0.006297581202678623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.524)" + }, + "parent_node_id": "node_1022", + "improvement_over_parent": null + }, + "node_1024": { + "node_id": "node_1024", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.42 kg\n Factor of Safety: 1.28\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.4199451736485, + "fos_buckling": 1.2828204381560522, + "fos_yielding": 2.1850402452107844, + "deflection": 0.005248886429661493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_1023", + "improvement_over_parent": null + }, + "node_1025": { + "node_id": "node_1025", + "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4083023552987, + "fos_buckling": 1.5140740091466671, + "fos_yielding": 2.1869393113704096, + "deflection": 0.005154931417792961, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.608)" + }, + "parent_node_id": "node_1024", + "improvement_over_parent": null + }, + "node_1026": { + "node_id": "node_1026", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1025", + "improvement_over_parent": null + }, + "node_1027": { + "node_id": "node_1027", + "content": "INITIAL DESIGN (Trace 145)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 143.80 kg\n Factor of Safety: 0.63\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.8036757604344, + "fos_buckling": 0.6273664509036657, + "fos_yielding": 1.1404232500053424, + "deflection": 0.01145603681888211, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1028": { + "node_id": "node_1028", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 178.63 kg\n Factor of Safety: 0.76\n Max Deflection: 9.25e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.62816220406037, + "fos_buckling": 0.7607805391537225, + "fos_yielding": 1.4152954363936412, + "deflection": 0.009249180442480935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_1027", + "improvement_over_parent": null + }, + "node_1029": { + "node_id": "node_1029", + "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 181.71 kg\n Factor of Safety: 0.76\n Max Deflection: 9.15e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.71292895835188, + "fos_buckling": 0.7606928648399445, + "fos_yielding": 1.4291632940543775, + "deflection": 0.009145705989863412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.374)" + }, + "parent_node_id": "node_1028", + "improvement_over_parent": null + }, + "node_1030": { + "node_id": "node_1030", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 236.93 kg\n Factor of Safety: 0.95\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.92953504094643, + "fos_buckling": 0.9546587866235473, + "fos_yielding": 1.8609665691480994, + "deflection": 0.007045573209296778, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1029", + "improvement_over_parent": null + }, + "node_1031": { + "node_id": "node_1031", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n\nPerformance:\n Mass: 257.60 kg\n Factor of Safety: 1.32\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.60191603981076, + "fos_buckling": 1.3243243330555243, + "fos_yielding": 1.858623356117981, + "deflection": 0.006050412498985003, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004104)" + }, + "parent_node_id": "node_1030", + "improvement_over_parent": null + }, + "node_1032": { + "node_id": "node_1032", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3358613561791, + "fos_buckling": 1.5137739709405527, + "fos_yielding": 2.1863190245471076, + "deflection": 0.005156101562071687, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_1031", + "improvement_over_parent": null + }, + "node_1033": { + "node_id": "node_1033", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1032", + "improvement_over_parent": null + }, + "node_1034": { + "node_id": "node_1034", + "content": "INITIAL DESIGN (Trace 146)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 223.18 kg\n Factor of Safety: 0.96\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.1767434871002, + "fos_buckling": 0.9583993729211976, + "fos_yielding": 1.8791237176923032, + "deflection": 0.007234582264171295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1035": { + "node_id": "node_1035", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 261.97 kg\n Factor of Safety: 1.09\n Max Deflection: 6.18e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.96655923470456, + "fos_buckling": 1.0919621472226395, + "fos_yielding": 2.202188292392624, + "deflection": 0.006184220410257603, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_1034", + "improvement_over_parent": null + }, + "node_1036": { + "node_id": "node_1036", + "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 264.99 kg\n Factor of Safety: 1.09\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.99366207451203, + "fos_buckling": 1.0918394101014215, + "fos_yielding": 2.2136966731110927, + "deflection": 0.00613867276377275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.220)" + }, + "parent_node_id": "node_1035", + "improvement_over_parent": null + }, + "node_1037": { + "node_id": "node_1037", + "content": "MODIFICATION: Increase 13 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 267.15 kg\n Factor of Safety: 1.09\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.15233920640117, + "fos_buckling": 1.091751901081264, + "fos_yielding": 2.2023425062598174, + "deflection": 0.00611461271897059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.205)" + }, + "parent_node_id": "node_1036", + "improvement_over_parent": null + }, + "node_1038": { + "node_id": "node_1038", + "content": "MODIFICATION: Increase 11 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 274.30 kg\n Factor of Safety: 1.09\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.2975385556586, + "fos_buckling": 1.0908836998022908, + "fos_yielding": 2.2058651910697367, + "deflection": 0.006041357658067223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.595)" + }, + "parent_node_id": "node_1037", + "improvement_over_parent": null + }, + "node_1039": { + "node_id": "node_1039", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 298.64 kg\n Factor of Safety: 1.51\n Max Deflection: 5.19e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 298.6386665610355, + "fos_buckling": 1.5112929429744288, + "fos_yielding": 2.2032512820604424, + "deflection": 0.005194749100812825, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_1038", + "improvement_over_parent": null + }, + "node_1040": { + "node_id": "node_1040", + "content": "MODIFICATION: Increase 14 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0070)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 307.18 kg\n Factor of Safety: 1.51\n Max Deflection: 5.12e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 307.18332255266625, + "fos_buckling": 1.5125073870325259, + "fos_yielding": 2.2234348176180196, + "deflection": 0.005123497310086032, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.379)" + }, + "parent_node_id": "node_1039", + "improvement_over_parent": null + }, + "node_1041": { + "node_id": "node_1041", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1040", + "improvement_over_parent": null + }, + "node_1042": { + "node_id": "node_1042", + "content": "INITIAL DESIGN (Trace 147)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 199.86 kg\n Factor of Safety: 0.88\n Max Deflection: 8.32e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.8572421882442, + "fos_buckling": 0.88112301183962, + "fos_yielding": 1.465186827979807, + "deflection": 0.008317723182170276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1043": { + "node_id": "node_1043", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n\nPerformance:\n Mass: 209.74 kg\n Factor of Safety: 0.89\n Max Deflection: 7.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.7377372584018, + "fos_buckling": 0.8882726896730533, + "fos_yielding": 1.3493983631636337, + "deflection": 0.00782048286213253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002898)" + }, + "parent_node_id": "node_1042", + "improvement_over_parent": null + }, + "node_1044": { + "node_id": "node_1044", + "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0059)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n\nPerformance:\n Mass: 217.34 kg\n Factor of Safety: 1.06\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.33546970628785, + "fos_buckling": 1.0592338284773763, + "fos_yielding": 1.349313137399658, + "deflection": 0.007343776623611036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.294)" + }, + "parent_node_id": "node_1043", + "improvement_over_parent": null + }, + "node_1045": { + "node_id": "node_1045", + "content": "MODIFICATION: Increase 11 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0059)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0059)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n\nPerformance:\n Mass: 227.33 kg\n Factor of Safety: 1.06\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.3316999405992, + "fos_buckling": 1.057377903860281, + "fos_yielding": 1.346948953590055, + "deflection": 0.00722809042602629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.621)" + }, + "parent_node_id": "node_1044", + "improvement_over_parent": null + }, + "node_1046": { + "node_id": "node_1046", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0059)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0059)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 246.29 kg\n Factor of Safety: 1.06\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.28636518537056, + "fos_buckling": 1.0562467576993855, + "fos_yielding": 1.3455080343763912, + "deflection": 0.00635483195210582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003738)" + }, + "parent_node_id": "node_1045", + "improvement_over_parent": null + }, + "node_1047": { + "node_id": "node_1047", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0078)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0078)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 315.58 kg\n Factor of Safety: 1.32\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 315.5842355639943, + "fos_buckling": 1.3204034837838492, + "fos_yielding": 1.73397151827679, + "deflection": 0.004981369629309002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_1046", + "improvement_over_parent": null + }, + "node_1048": { + "node_id": "node_1048", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1047", + "improvement_over_parent": null + }, + "node_1049": { + "node_id": "node_1049", + "content": "INITIAL DESIGN (Trace 148)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 231.91 kg\n Factor of Safety: 0.98\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.90840673229795, + "fos_buckling": 0.983642282954526, + "fos_yielding": 1.6506688155342748, + "deflection": 0.00671078958856012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1050": { + "node_id": "node_1050", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.88 kg\n Factor of Safety: 1.20\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.88264059473926, + "fos_buckling": 1.2044606165251779, + "fos_yielding": 2.116674668845938, + "deflection": 0.0052511401147599624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_1049", + "improvement_over_parent": null + }, + "node_1051": { + "node_id": "node_1051", + "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.58 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.58190282304, + "fos_buckling": 1.2301592316858718, + "fos_yielding": 2.1217899751336815, + "deflection": 0.005226664948880367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.192)" + }, + "parent_node_id": "node_1050", + "improvement_over_parent": null + }, + "node_1052": { + "node_id": "node_1052", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.38615880218055, + "fos_buckling": 1.5139192516317177, + "fos_yielding": 2.1866980667523896, + "deflection": 0.005155270685670511, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_1051", + "improvement_over_parent": null + }, + "node_1053": { + "node_id": "node_1053", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1052", + "improvement_over_parent": null + }, + "node_1054": { + "node_id": "node_1054", + "content": "INITIAL DESIGN (Trace 149)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 220.45 kg\n Factor of Safety: 0.72\n Max Deflection: 9.52e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.4495570324716, + "fos_buckling": 0.7167321423643169, + "fos_yielding": 1.6783971113601412, + "deflection": 0.009515412336450813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1055": { + "node_id": "node_1055", + "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 228.26 kg\n Factor of Safety: 0.76\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.26195523628184, + "fos_buckling": 0.7598657521630529, + "fos_yielding": 1.7777666639734722, + "deflection": 0.008825384700233122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.379)" + }, + "parent_node_id": "node_1054", + "improvement_over_parent": null + }, + "node_1056": { + "node_id": "node_1056", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 238.73 kg\n Factor of Safety: 0.74\n Max Deflection: 8.15e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.73083281387312, + "fos_buckling": 0.7401805620003893, + "fos_yielding": 1.7825102987744192, + "deflection": 0.008146262770790856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003084)" + }, + "parent_node_id": "node_1055", + "improvement_over_parent": null + }, + "node_1057": { + "node_id": "node_1057", + "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 241.77 kg\n Factor of Safety: 0.76\n Max Deflection: 7.88e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.76571792874284, + "fos_buckling": 0.7581607202346543, + "fos_yielding": 1.7837300274829746, + "deflection": 0.007876565994883263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.181)" + }, + "parent_node_id": "node_1056", + "improvement_over_parent": null + }, + "node_1058": { + "node_id": "node_1058", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 293.13 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.12780219915805, + "fos_buckling": 0.891300966597008, + "fos_yielding": 2.1596821100123633, + "deflection": 0.006516664948184514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_1057", + "improvement_over_parent": null + }, + "node_1059": { + "node_id": "node_1059", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 298.70 kg\n Factor of Safety: 1.45\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.7020018641343, + "fos_buckling": 1.4512791854774023, + "fos_yielding": 2.1874995678094353, + "deflection": 0.005223377545432151, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1058", + "improvement_over_parent": null + }, + "node_1060": { + "node_id": "node_1060", + "content": "MODIFICATION: Increase 3 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.44 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.44284266357647, + "fos_buckling": 1.513764409373163, + "fos_yielding": 2.187214895751739, + "deflection": 0.005154363199451176, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.420)" + }, + "parent_node_id": "node_1059", + "improvement_over_parent": null + }, + "node_1061": { + "node_id": "node_1061", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1060", + "improvement_over_parent": null + }, + "node_1062": { + "node_id": "node_1062", + "content": "INITIAL DESIGN (Trace 150)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 213.09 kg\n Factor of Safety: 0.59\n Max Deflection: 9.60e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.08576062916967, + "fos_buckling": 0.5921027402904879, + "fos_yielding": 1.6730426490701327, + "deflection": 0.009599218105729525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1063": { + "node_id": "node_1063", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 236.86 kg\n Factor of Safety: 0.65\n Max Deflection: 8.64e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.85552172012598, + "fos_buckling": 0.6521257467719532, + "fos_yielding": 1.8578221280289007, + "deflection": 0.008642602835480344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_1062", + "improvement_over_parent": null + }, + "node_1064": { + "node_id": "node_1064", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 241.58 kg\n Factor of Safety: 1.18\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.57946859515272, + "fos_buckling": 1.179598341036252, + "fos_yielding": 1.8800227526260602, + "deflection": 0.006537946290890442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002777)" + }, + "parent_node_id": "node_1063", + "improvement_over_parent": null + }, + "node_1065": { + "node_id": "node_1065", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 285.34 kg\n Factor of Safety: 1.36\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.3422026237586, + "fos_buckling": 1.3624576973557192, + "fos_yielding": 2.216525585909379, + "deflection": 0.005551543868348089, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_1064", + "improvement_over_parent": null + }, + "node_1066": { + "node_id": "node_1066", + "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 292.80 kg\n Factor of Safety: 1.33\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.804295040624, + "fos_buckling": 1.329166993008589, + "fos_yielding": 2.2123941347649883, + "deflection": 0.005271828716069286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.414)" + }, + "parent_node_id": "node_1065", + "improvement_over_parent": null + }, + "node_1067": { + "node_id": "node_1067", + "content": "MODIFICATION: Increase 13 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0060)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 299.37 kg\n Factor of Safety: 1.24\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.3729734739622, + "fos_buckling": 1.2373890770338878, + "fos_yielding": 2.1990894425165166, + "deflection": 0.005246622103450984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.418)" + }, + "parent_node_id": "node_1066", + "improvement_over_parent": null + }, + "node_1068": { + "node_id": "node_1068", + "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0060)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.73 kg\n Factor of Safety: 1.32\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.7264208225458, + "fos_buckling": 1.3196858787291024, + "fos_yielding": 2.175561423732353, + "deflection": 0.005196316247353421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.572)" + }, + "parent_node_id": "node_1067", + "improvement_over_parent": null + }, + "node_1069": { + "node_id": "node_1069", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1068", + "improvement_over_parent": null + }, + "node_1070": { + "node_id": "node_1070", + "content": "INITIAL DESIGN (Trace 151)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 145.24 kg\n Factor of Safety: 0.36\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.23769760083272, + "fos_buckling": 0.35750914563131314, + "fos_yielding": 1.1456116879096976, + "deflection": 0.012754653578325332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1071": { + "node_id": "node_1071", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n\nPerformance:\n Mass: 151.97 kg\n Factor of Safety: 0.36\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.96609717754308, + "fos_buckling": 0.35733058198400885, + "fos_yielding": 1.1454829182363457, + "deflection": 0.011404913955612545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.001642)" + }, + "parent_node_id": "node_1070", + "improvement_over_parent": null + }, + "node_1072": { + "node_id": "node_1072", + "content": "MODIFICATION: Increase 3 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0052)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n\nPerformance:\n Mass: 160.82 kg\n Factor of Safety: 0.36\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.81736082289729, + "fos_buckling": 0.3566276138856627, + "fos_yielding": 1.1449750080507242, + "deflection": 0.011215609131654572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.600)" + }, + "parent_node_id": "node_1071", + "improvement_over_parent": null + }, + "node_1073": { + "node_id": "node_1073", + "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0052)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n\nPerformance:\n Mass: 163.77 kg\n Factor of Safety: 0.36\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.77095360996373, + "fos_buckling": 0.35639365435875797, + "fos_yielding": 1.1448056228743415, + "deflection": 0.010758159553688635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.225)" + }, + "parent_node_id": "node_1072", + "improvement_over_parent": null + }, + "node_1074": { + "node_id": "node_1074", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0067)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n\nPerformance:\n Mass: 206.91 kg\n Factor of Safety: 0.44\n Max Deflection: 8.54e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.90611703632513, + "fos_buckling": 0.435838613206831, + "fos_yielding": 1.4457453995634146, + "deflection": 0.008535504301699892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1073", + "improvement_over_parent": null + }, + "node_1075": { + "node_id": "node_1075", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0067)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 227.03 kg\n Factor of Safety: 0.74\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.02961391318948, + "fos_buckling": 0.735619696602301, + "fos_yielding": 1.6888462664670474, + "deflection": 0.007132687916748499, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003856)" + }, + "parent_node_id": "node_1074", + "improvement_over_parent": null + }, + "node_1076": { + "node_id": "node_1076", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0067)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n\nPerformance:\n Mass: 242.88 kg\n Factor of Safety: 1.10\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.8788416683216, + "fos_buckling": 1.098063030962448, + "fos_yielding": 1.712916191020627, + "deflection": 0.006371655574910005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003422)" + }, + "parent_node_id": "node_1075", + "improvement_over_parent": null + }, + "node_1077": { + "node_id": "node_1077", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0087)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 310.77 kg\n Factor of Safety: 1.37\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 310.76594861597727, + "fos_buckling": 1.3711487332630823, + "fos_yielding": 2.191553221541224, + "deflection": 0.005003508360809308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_1076", + "improvement_over_parent": null + }, + "node_1078": { + "node_id": "node_1078", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1077", + "improvement_over_parent": null + }, + "node_1079": { + "node_id": "node_1079", + "content": "INITIAL DESIGN (Trace 152)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 225.66 kg\n Factor of Safety: 0.71\n Max Deflection: 8.50e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.6564521804632, + "fos_buckling": 0.713089486145928, + "fos_yielding": 1.6521015955779341, + "deflection": 0.008496666995979552, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1080": { + "node_id": "node_1080", + "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 230.42 kg\n Factor of Safety: 0.72\n Max Deflection: 8.39e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.41703279938028, + "fos_buckling": 0.7159009543101071, + "fos_yielding": 1.672969595959104, + "deflection": 0.008393836395958192, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.550)" + }, + "parent_node_id": "node_1079", + "improvement_over_parent": null + }, + "node_1081": { + "node_id": "node_1081", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.80 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.80322543889326, + "fos_buckling": 0.8893247659408329, + "fos_yielding": 2.1589655806379615, + "deflection": 0.006519207205984191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_1080", + "improvement_over_parent": null + }, + "node_1082": { + "node_id": "node_1082", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.38 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3774251038695, + "fos_buckling": 1.5139549109731736, + "fos_yielding": 2.1866888808502414, + "deflection": 0.005155315000956526, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1081", + "improvement_over_parent": null + }, + "node_1083": { + "node_id": "node_1083", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1082", + "improvement_over_parent": null + }, + "node_1084": { + "node_id": "node_1084", + "content": "INITIAL DESIGN (Trace 153)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 265.28 kg\n Factor of Safety: 0.73\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.2792511115152, + "fos_buckling": 0.7331878852584193, + "fos_yielding": 1.4347666396814032, + "deflection": 0.017340179546651343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1085": { + "node_id": "node_1085", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 270.85 kg\n Factor of Safety: 1.04\n Max Deflection: 8.36e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.8534507764914, + "fos_buckling": 1.0410178393808305, + "fos_yielding": 1.7607090257841806, + "deflection": 0.008355350577746052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1084", + "improvement_over_parent": null + }, + "node_1086": { + "node_id": "node_1086", + "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0084)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 283.46 kg\n Factor of Safety: 1.08\n Max Deflection: 8.24e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.4621786542878, + "fos_buckling": 1.0772036345096225, + "fos_yielding": 1.7607090257841806, + "deflection": 0.00824082445558926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.397)" + }, + "parent_node_id": "node_1085", + "improvement_over_parent": null + }, + "node_1087": { + "node_id": "node_1087", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0084)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 286.27 kg\n Factor of Safety: 1.08\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.26643463342833, + "fos_buckling": 1.0763240775381282, + "fos_yielding": 1.7607090257841806, + "deflection": 0.0057236001818831515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_1086", + "improvement_over_parent": null + }, + "node_1088": { + "node_id": "node_1088", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0084)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 304.30 kg\n Factor of Safety: 1.25\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 304.2982013186581, + "fos_buckling": 1.2485117190355712, + "fos_yielding": 1.624179812802634, + "deflection": 0.005352644465420166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_1087", + "improvement_over_parent": null + }, + "node_1089": { + "node_id": "node_1089", + "content": "MODIFICATION: Increase 0 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0084)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 313.21 kg\n Factor of Safety: 1.25\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 313.2124359155993, + "fos_buckling": 1.2487279411943588, + "fos_yielding": 1.6244610946360591, + "deflection": 0.004981045092996882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.587)" + }, + "parent_node_id": "node_1088", + "improvement_over_parent": null + }, + "node_1090": { + "node_id": "node_1090", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1089", + "improvement_over_parent": null + }, + "node_1091": { + "node_id": "node_1091", + "content": "INITIAL DESIGN (Trace 154)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 191.90 kg\n Factor of Safety: 0.56\n Max Deflection: 9.15e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.90474755333454, + "fos_buckling": 0.5638680510641079, + "fos_yielding": 1.5855333797958773, + "deflection": 0.009153603959892858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1092": { + "node_id": "node_1092", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n\nPerformance:\n Mass: 204.54 kg\n Factor of Safety: 0.56\n Max Deflection: 7.87e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.53770542697575, + "fos_buckling": 0.5633296652407453, + "fos_yielding": 1.5853438279167817, + "deflection": 0.007870789465800228, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003178)" + }, + "parent_node_id": "node_1091", + "improvement_over_parent": null + }, + "node_1093": { + "node_id": "node_1093", + "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0048)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n\nPerformance:\n Mass: 207.84 kg\n Factor of Safety: 0.56\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.83980611851425, + "fos_buckling": 0.5633296652407452, + "fos_yielding": 1.8175940663172503, + "deflection": 0.007799261007793676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.466)" + }, + "parent_node_id": "node_1092", + "improvement_over_parent": null + }, + "node_1094": { + "node_id": "node_1094", + "content": "MODIFICATION: Increase 12 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0048)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n\nPerformance:\n Mass: 211.44 kg\n Factor of Safety: 0.56\n Max Deflection: 7.74e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.4405680852687, + "fos_buckling": 0.5634830161385538, + "fos_yielding": 1.8175373398865333, + "deflection": 0.007742543370929817, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.295)" + }, + "parent_node_id": "node_1093", + "improvement_over_parent": null + }, + "node_1095": { + "node_id": "node_1095", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0048)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n\nPerformance:\n Mass: 226.43 kg\n Factor of Safety: 1.06\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.43147730096146, + "fos_buckling": 1.059410131833299, + "fos_yielding": 1.8385923398253707, + "deflection": 0.0069265912389001975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003224)" + }, + "parent_node_id": "node_1094", + "improvement_over_parent": null + }, + "node_1096": { + "node_id": "node_1096", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0054)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 251.81 kg\n Factor of Safety: 1.17\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.80664878478046, + "fos_buckling": 1.1668727349683092, + "fos_yielding": 2.043555964291231, + "deflection": 0.006238928125796823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_1095", + "improvement_over_parent": null + }, + "node_1097": { + "node_id": "node_1097", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0067)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0055)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 306.44 kg\n Factor of Safety: 1.39\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 306.4384333695744, + "fos_buckling": 1.3903620707057438, + "fos_yielding": 2.484172512402314, + "deflection": 0.0051448720446161, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_1096", + "improvement_over_parent": null + }, + "node_1098": { + "node_id": "node_1098", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1097", + "improvement_over_parent": null + }, + "node_1099": { + "node_id": "node_1099", + "content": "INITIAL DESIGN (Trace 155)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 198.23 kg\n Factor of Safety: 0.68\n Max Deflection: 7.89e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.22685594261372, + "fos_buckling": 0.6832881243072092, + "fos_yielding": 1.5523530770344178, + "deflection": 0.00789312370225868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1100": { + "node_id": "node_1100", + "content": "MODIFICATION: Increase 11 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 202.99 kg\n Factor of Safety: 0.68\n Max Deflection: 7.77e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.98754713500082, + "fos_buckling": 0.6830422294212909, + "fos_yielding": 1.5522861666748324, + "deflection": 0.007766095974298025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.399)" + }, + "parent_node_id": "node_1099", + "improvement_over_parent": null + }, + "node_1101": { + "node_id": "node_1101", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 242.06 kg\n Factor of Safety: 0.79\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.05977823035417, + "fos_buckling": 0.7949478262377425, + "fos_yielding": 1.8494274552934613, + "deflection": 0.006530170104876617, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_1100", + "improvement_over_parent": null + }, + "node_1102": { + "node_id": "node_1102", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n\nPerformance:\n Mass: 259.42 kg\n Factor of Safety: 1.33\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.4213451621792, + "fos_buckling": 1.3321720234220715, + "fos_yielding": 1.8716733577454316, + "deflection": 0.006008773225446197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003775)" + }, + "parent_node_id": "node_1101", + "improvement_over_parent": null + }, + "node_1103": { + "node_id": "node_1103", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3499013690596, + "fos_buckling": 1.513888361674605, + "fos_yielding": 2.1864198839944997, + "deflection": 0.005155835570920709, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_1102", + "improvement_over_parent": null + }, + "node_1104": { + "node_id": "node_1104", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1103", + "improvement_over_parent": null + }, + "node_1105": { + "node_id": "node_1105", + "content": "INITIAL DESIGN (Trace 156)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 226.77 kg\n Factor of Safety: 0.96\n Max Deflection: 7.35e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.7687033232689, + "fos_buckling": 0.9606986112400481, + "fos_yielding": 1.8407682505860856, + "deflection": 0.007349053011174742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1106": { + "node_id": "node_1106", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 276.18 kg\n Factor of Safety: 1.13\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.17928292352684, + "fos_buckling": 1.1340252758870937, + "fos_yielding": 2.2388567359032816, + "deflection": 0.0060539291889320735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_1105", + "improvement_over_parent": null + }, + "node_1107": { + "node_id": "node_1107", + "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.06 kg\n Factor of Safety: 1.13\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.0640541773345, + "fos_buckling": 1.1341516464965178, + "fos_yielding": 2.224012682317839, + "deflection": 0.006028137401793185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.484)" + }, + "parent_node_id": "node_1106", + "improvement_over_parent": null + }, + "node_1108": { + "node_id": "node_1108", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2875745584825, + "fos_buckling": 1.513511446695876, + "fos_yielding": 2.1859088040510963, + "deflection": 0.005156961348685483, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_1107", + "improvement_over_parent": null + }, + "node_1109": { + "node_id": "node_1109", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1108", + "improvement_over_parent": null + }, + "node_1110": { + "node_id": "node_1110", + "content": "INITIAL DESIGN (Trace 157)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 209.48 kg\n Factor of Safety: 0.39\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.47928377738413, + "fos_buckling": 0.38503236962503057, + "fos_yielding": 1.1945506929490302, + "deflection": 0.014928343640851983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1111": { + "node_id": "node_1111", + "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 214.04 kg\n Factor of Safety: 0.38\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.03805064675805, + "fos_buckling": 0.3849014239467377, + "fos_yielding": 1.1941739263947786, + "deflection": 0.01493418739953155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.311)" + }, + "parent_node_id": "node_1110", + "improvement_over_parent": null + }, + "node_1112": { + "node_id": "node_1112", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 228.35 kg\n Factor of Safety: 0.38\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.34779816334031, + "fos_buckling": 0.3844909697887509, + "fos_yielding": 1.1929928168608475, + "deflection": 0.012867126557642888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003633)" + }, + "parent_node_id": "node_1111", + "improvement_over_parent": null + }, + "node_1113": { + "node_id": "node_1113", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n\nPerformance:\n Mass: 250.15 kg\n Factor of Safety: 1.35\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.15004399583447, + "fos_buckling": 1.347338169039135, + "fos_yielding": 1.8298602797413066, + "deflection": 0.006296073419384737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004484)" + }, + "parent_node_id": "node_1112", + "improvement_over_parent": null + }, + "node_1114": { + "node_id": "node_1114", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 299.19 kg\n Factor of Safety: 1.56\n Max Deflection: 5.28e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 299.1862128932996, + "fos_buckling": 1.5592284221277062, + "fos_yielding": 2.185642233555801, + "deflection": 0.005282655220012475, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1113", + "improvement_over_parent": null + }, + "node_1115": { + "node_id": "node_1115", + "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2721706519467, + "fos_buckling": 1.5135009219376696, + "fos_yielding": 2.1857519658062854, + "deflection": 0.00515720410396764, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.209)" + }, + "parent_node_id": "node_1114", + "improvement_over_parent": null + }, + "node_1116": { + "node_id": "node_1116", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1115", + "improvement_over_parent": null + }, + "node_1117": { + "node_id": "node_1117", + "content": "INITIAL DESIGN (Trace 158)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 205.75 kg\n Factor of Safety: 0.78\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.7545452365484, + "fos_buckling": 0.783286909750264, + "fos_yielding": 1.99631245159028, + "deflection": 0.008490136335084109, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1118": { + "node_id": "node_1118", + "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 210.32 kg\n Factor of Safety: 0.78\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.32331127116245, + "fos_buckling": 0.7831534263841728, + "fos_yielding": 1.9957225450341283, + "deflection": 0.008491767105026516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.471)" + }, + "parent_node_id": "node_1117", + "improvement_over_parent": null + }, + "node_1119": { + "node_id": "node_1119", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 252.65 kg\n Factor of Safety: 0.92\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.6461113830673, + "fos_buckling": 0.920272614392643, + "fos_yielding": 2.394776897616989, + "deflection": 0.007081606680084413, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_1118", + "improvement_over_parent": null + }, + "node_1120": { + "node_id": "node_1120", + "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 258.62 kg\n Factor of Safety: 1.05\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.6170217110557, + "fos_buckling": 1.0528173350836836, + "fos_yielding": 2.394776897616989, + "deflection": 0.006670123736085154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.326)" + }, + "parent_node_id": "node_1119", + "improvement_over_parent": null + }, + "node_1121": { + "node_id": "node_1121", + "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 267.47 kg\n Factor of Safety: 1.08\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.4651718321809, + "fos_buckling": 1.0811527427908505, + "fos_yielding": 2.394776897616989, + "deflection": 0.006317492098066193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.580)" + }, + "parent_node_id": "node_1120", + "improvement_over_parent": null + }, + "node_1122": { + "node_id": "node_1122", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 280.15 kg\n Factor of Safety: 1.13\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.1535430906695, + "fos_buckling": 1.1345599991403168, + "fos_yielding": 2.2247859967041705, + "deflection": 0.006026333571231111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_1121", + "improvement_over_parent": null + }, + "node_1123": { + "node_id": "node_1123", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.38 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.37706347181745, + "fos_buckling": 1.5138048927851635, + "fos_yielding": 2.186673215549467, + "deflection": 0.0051553087051474655, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_1122", + "improvement_over_parent": null + }, + "node_1124": { + "node_id": "node_1124", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1123", + "improvement_over_parent": null + }, + "node_1125": { + "node_id": "node_1125", + "content": "INITIAL DESIGN (Trace 159)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 139.52 kg\n Factor of Safety: 0.63\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.51909022499922, + "fos_buckling": 0.6307120895495296, + "fos_yielding": 1.0524134998518204, + "deflection": 0.012003925970413902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1126": { + "node_id": "node_1126", + "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 140.37 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.37138520651322, + "fos_buckling": 0.6184211696762141, + "fos_yielding": 1.1182776162498254, + "deflection": 0.011921848771490048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.227)" + }, + "parent_node_id": "node_1125", + "improvement_over_parent": null + }, + "node_1127": { + "node_id": "node_1127", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 157.10 kg\n Factor of Safety: 0.69\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.09835013492142, + "fos_buckling": 0.6854298579275973, + "fos_yielding": 1.2510572000642608, + "deflection": 0.010663724716314332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_1126", + "improvement_over_parent": null + }, + "node_1128": { + "node_id": "node_1128", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 193.63 kg\n Factor of Safety: 0.83\n Max Deflection: 8.67e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.63003804962182, + "fos_buckling": 0.8268154030324039, + "fos_yielding": 1.5406962718048622, + "deflection": 0.008671758752682753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_1127", + "improvement_over_parent": null + }, + "node_1129": { + "node_id": "node_1129", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 209.66 kg\n Factor of Safety: 1.11\n Max Deflection: 7.41e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.65982521574978, + "fos_buckling": 1.1112056410061009, + "fos_yielding": 1.514570307965483, + "deflection": 0.007406407535646757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003210)" + }, + "parent_node_id": "node_1128", + "improvement_over_parent": null + }, + "node_1130": { + "node_id": "node_1130", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n Mass: 266.77 kg\n Factor of Safety: 1.36\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.7660906233483, + "fos_buckling": 1.3634418720259787, + "fos_yielding": 1.9245894004612554, + "deflection": 0.005846358482850347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1129", + "improvement_over_parent": null + }, + "node_1131": { + "node_id": "node_1131", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.67 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.6684075227149, + "fos_buckling": 1.515175435489024, + "fos_yielding": 2.1889769641624413, + "deflection": 0.005150335497438687, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_1130", + "improvement_over_parent": null + }, + "node_1132": { + "node_id": "node_1132", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1131", + "improvement_over_parent": null + }, + "node_1133": { + "node_id": "node_1133", + "content": "INITIAL DESIGN (Trace 160)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 178.04 kg\n Factor of Safety: 0.82\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.04400718806477, + "fos_buckling": 0.8220259199212364, + "fos_yielding": 1.2362981342534967, + "deflection": 0.008765699443034219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1134": { + "node_id": "node_1134", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 202.89 kg\n Factor of Safety: 0.93\n Max Deflection: 7.71e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.88694960545584, + "fos_buckling": 0.9259812182660253, + "fos_yielding": 1.4094974779720977, + "deflection": 0.007706133363389421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_1133", + "improvement_over_parent": null + }, + "node_1135": { + "node_id": "node_1135", + "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 0.93\n Max Deflection: 7.59e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.1496738394675, + "fos_buckling": 0.9343557480164357, + "fos_yielding": 1.394433223619366, + "deflection": 0.007586678569700394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.522)" + }, + "parent_node_id": "node_1134", + "improvement_over_parent": null + }, + "node_1136": { + "node_id": "node_1136", + "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 205.42 kg\n Factor of Safety: 0.93\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.42039499164733, + "fos_buckling": 0.933650576889642, + "fos_yielding": 1.5205714623443052, + "deflection": 0.007514418693089815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.256)" + }, + "parent_node_id": "node_1135", + "improvement_over_parent": null + }, + "node_1137": { + "node_id": "node_1137", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 231.51 kg\n Factor of Safety: 1.04\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.50935443921853, + "fos_buckling": 1.0395747751579016, + "fos_yielding": 1.7124930600362132, + "deflection": 0.0066812338159088006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_1136", + "improvement_over_parent": null + }, + "node_1138": { + "node_id": "node_1138", + "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 234.94 kg\n Factor of Safety: 1.23\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.94148482033364, + "fos_buckling": 1.2254374983128389, + "fos_yielding": 1.6960982183904956, + "deflection": 0.006622393549031286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.575)" + }, + "parent_node_id": "node_1137", + "improvement_over_parent": null + }, + "node_1139": { + "node_id": "node_1139", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.22597919587963, + "fos_buckling": 1.513341214664928, + "fos_yielding": 2.1856535089761118, + "deflection": 0.005157827060490914, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_1138", + "improvement_over_parent": null + }, + "node_1140": { + "node_id": "node_1140", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1139", + "improvement_over_parent": null + }, + "node_1141": { + "node_id": "node_1141", + "content": "INITIAL DESIGN (Trace 161)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n\nPerformance:\n Mass: 134.20 kg\n Factor of Safety: 0.48\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.2011690048993, + "fos_buckling": 0.4848411300805603, + "fos_yielding": 1.0802975135269457, + "deflection": 0.014674712971595354, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1142": { + "node_id": "node_1142", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n\nPerformance:\n Mass: 142.96 kg\n Factor of Safety: 0.47\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.9603572263593, + "fos_buckling": 0.47074966337640084, + "fos_yielding": 1.0459372291027542, + "deflection": 0.013384532016936236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.001955)" + }, + "parent_node_id": "node_1141", + "improvement_over_parent": null + }, + "node_1143": { + "node_id": "node_1143", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n\nPerformance:\n Mass: 174.91 kg\n Factor of Safety: 0.57\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.90767357671723, + "fos_buckling": 0.5656781985825872, + "fos_yielding": 1.2786762026696512, + "deflection": 0.010960276311162628, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_1142", + "improvement_over_parent": null + }, + "node_1144": { + "node_id": "node_1144", + "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n\nPerformance:\n Mass: 176.96 kg\n Factor of Safety: 0.57\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.9633725219633, + "fos_buckling": 0.5667313334506545, + "fos_yielding": 1.286361460991689, + "deflection": 0.010896591997448902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.248)" + }, + "parent_node_id": "node_1143", + "improvement_over_parent": null + }, + "node_1145": { + "node_id": "node_1145", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n\nPerformance:\n Mass: 221.05 kg\n Factor of Safety: 0.69\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.05339481783915, + "fos_buckling": 0.690488954083308, + "fos_yielding": 1.6052640754153338, + "deflection": 0.008744996202768007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_1144", + "improvement_over_parent": null + }, + "node_1146": { + "node_id": "node_1146", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 249.74 kg\n Factor of Safety: 0.77\n Max Deflection: 7.75e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.73556454208017, + "fos_buckling": 0.7672572679739096, + "fos_yielding": 1.812382984468023, + "deflection": 0.007753170448672343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_1145", + "improvement_over_parent": null + }, + "node_1147": { + "node_id": "node_1147", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 254.41 kg\n Factor of Safety: 1.31\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.4075234812283, + "fos_buckling": 1.3105298743759637, + "fos_yielding": 1.8357265075805715, + "deflection": 0.006124934930126203, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002744)" + }, + "parent_node_id": "node_1146", + "improvement_over_parent": null + }, + "node_1148": { + "node_id": "node_1148", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.51368516567396, + "fos_buckling": 1.514420558757807, + "fos_yielding": 2.1876120821179086, + "deflection": 0.005153185890599081, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1147", + "improvement_over_parent": null + }, + "node_1149": { + "node_id": "node_1149", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1148", + "improvement_over_parent": null + }, + "node_1150": { + "node_id": "node_1150", + "content": "INITIAL DESIGN (Trace 162)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1151": { + "node_id": "node_1151", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 252.86 kg\n Factor of Safety: 0.53\n Max Deflection: 7.39e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.86097549856143, + "fos_buckling": 0.5335007043619663, + "fos_yielding": 1.8485887758671538, + "deflection": 0.007393609829850978, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_1150", + "improvement_over_parent": null + }, + "node_1152": { + "node_id": "node_1152", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 270.66 kg\n Factor of Safety: 1.09\n Max Deflection: 6.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.6632278103197, + "fos_buckling": 1.0919453499999527, + "fos_yielding": 2.1609798589060922, + "deflection": 0.006191329974725463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003383)" + }, + "parent_node_id": "node_1151", + "improvement_over_parent": null + }, + "node_1153": { + "node_id": "node_1153", + "content": "MODIFICATION: Increase 12 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0053)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 274.58 kg\n Factor of Safety: 1.09\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.5810300502706, + "fos_buckling": 1.091786595119855, + "fos_yielding": 2.150135209470124, + "deflection": 0.006164206329799263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.245)" + }, + "parent_node_id": "node_1152", + "improvement_over_parent": null + }, + "node_1154": { + "node_id": "node_1154", + "content": "MODIFICATION: Increase 14 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0053)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 282.58 kg\n Factor of Safety: 1.09\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.5824977713779, + "fos_buckling": 1.0914625077169826, + "fos_yielding": 2.1836084823814783, + "deflection": 0.006065298788475093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.493)" + }, + "parent_node_id": "node_1153", + "improvement_over_parent": null + }, + "node_1155": { + "node_id": "node_1155", + "content": "MODIFICATION: Increase 12 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0065)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 287.00 kg\n Factor of Safety: 1.09\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.0032480029746, + "fos_buckling": 1.0912835343880876, + "fos_yielding": 2.1746944576818183, + "deflection": 0.006048380258020281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.235)" + }, + "parent_node_id": "node_1154", + "improvement_over_parent": null + }, + "node_1156": { + "node_id": "node_1156", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0065)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 304.12 kg\n Factor of Safety: 1.26\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 304.12120323454906, + "fos_buckling": 1.2637268249048783, + "fos_yielding": 2.1720682084511416, + "deflection": 0.005212047842086656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_1155", + "improvement_over_parent": null + }, + "node_1157": { + "node_id": "node_1157", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1156", + "improvement_over_parent": null + }, + "node_1158": { + "node_id": "node_1158", + "content": "INITIAL DESIGN (Trace 163)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 214.64 kg\n Factor of Safety: 0.38\n Max Deflection: 8.85e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.63519500976224, + "fos_buckling": 0.38216624755804224, + "fos_yielding": 1.452237109325734, + "deflection": 0.00884634393031276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1159": { + "node_id": "node_1159", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 240.41 kg\n Factor of Safety: 0.42\n Max Deflection: 7.92e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.4079580516103, + "fos_buckling": 0.4211626770309521, + "fos_yielding": 1.627373147965593, + "deflection": 0.007918624708015638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_1158", + "improvement_over_parent": null + }, + "node_1160": { + "node_id": "node_1160", + "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 241.99 kg\n Factor of Safety: 0.48\n Max Deflection: 7.65e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.98977704868045, + "fos_buckling": 0.48006024734735636, + "fos_yielding": 1.6271589080746316, + "deflection": 0.007645668789749629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.179)" + }, + "parent_node_id": "node_1159", + "improvement_over_parent": null + }, + "node_1161": { + "node_id": "node_1161", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 275.27 kg\n Factor of Safety: 0.53\n Max Deflection: 6.75e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.27018349471825, + "fos_buckling": 0.5319707323146462, + "fos_yielding": 1.8483987891553644, + "deflection": 0.00674628745693058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_1160", + "improvement_over_parent": null + }, + "node_1162": { + "node_id": "node_1162", + "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.78 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.78338964437137, + "fos_buckling": 0.531970732314646, + "fos_yielding": 1.8483987891553644, + "deflection": 0.006700740708179762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.393)" + }, + "parent_node_id": "node_1161", + "improvement_over_parent": null + }, + "node_1163": { + "node_id": "node_1163", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.57 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.57401718678534, + "fos_buckling": 1.5148692241639174, + "fos_yielding": 2.1881494746471515, + "deflection": 0.0051519050040173715, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_1162", + "improvement_over_parent": null + }, + "node_1164": { + "node_id": "node_1164", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1163", + "improvement_over_parent": null + }, + "node_1165": { + "node_id": "node_1165", + "content": "INITIAL DESIGN (Trace 164)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 199.66 kg\n Factor of Safety: 0.81\n Max Deflection: 8.46e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.6566791209018, + "fos_buckling": 0.8145332147448311, + "fos_yielding": 1.490957828792097, + "deflection": 0.008463998010732587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1166": { + "node_id": "node_1166", + "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 201.74 kg\n Factor of Safety: 0.81\n Max Deflection: 8.46e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.74102099973194, + "fos_buckling": 0.8145332147448311, + "fos_yielding": 1.5460188545650217, + "deflection": 0.008463998010732587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.479)" + }, + "parent_node_id": "node_1165", + "improvement_over_parent": null + }, + "node_1167": { + "node_id": "node_1167", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n\nPerformance:\n Mass: 213.80 kg\n Factor of Safety: 1.13\n Max Deflection: 7.27e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.8027129558078, + "fos_buckling": 1.1301755089903442, + "fos_yielding": 1.544172466268954, + "deflection": 0.007265434117159273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003025)" + }, + "parent_node_id": "node_1166", + "improvement_over_parent": null + }, + "node_1168": { + "node_id": "node_1168", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n\nPerformance:\n Mass: 236.53 kg\n Factor of Safety: 1.23\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.5323622495253, + "fos_buckling": 1.2325021140643084, + "fos_yielding": 1.707449685820184, + "deflection": 0.006578675792700002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1167", + "improvement_over_parent": null + }, + "node_1169": { + "node_id": "node_1169", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.54 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5444254428244, + "fos_buckling": 1.514630350611643, + "fos_yielding": 2.1878433010406306, + "deflection": 0.005152558916892799, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_1168", + "improvement_over_parent": null + }, + "node_1170": { + "node_id": "node_1170", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1169", + "improvement_over_parent": null + }, + "node_1171": { + "node_id": "node_1171", + "content": "INITIAL DESIGN (Trace 165)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 288.29 kg\n Factor of Safety: 1.36\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.29444269608877, + "fos_buckling": 1.3637006396827462, + "fos_yielding": 2.20406150471156, + "deflection": 0.00533365958812572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1172": { + "node_id": "node_1172", + "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.20 kg\n Factor of Safety: 1.40\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.19864227389826, + "fos_buckling": 1.400797416979606, + "fos_yielding": 2.200973855678355, + "deflection": 0.005266819600352307, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.374)" + }, + "parent_node_id": "node_1171", + "improvement_over_parent": null + }, + "node_1173": { + "node_id": "node_1173", + "content": "MODIFICATION: Increase 14 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.94 kg\n Factor of Safety: 1.40\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.93745447220147, + "fos_buckling": 1.3999662844566272, + "fos_yielding": 2.1872486554025303, + "deflection": 0.005238230049770461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.287)" + }, + "parent_node_id": "node_1172", + "improvement_over_parent": null + }, + "node_1174": { + "node_id": "node_1174", + "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4201004853039, + "fos_buckling": 1.5140167876139847, + "fos_yielding": 2.186909058204504, + "deflection": 0.0051547308593852025, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.517)" + }, + "parent_node_id": "node_1173", + "improvement_over_parent": null + }, + "node_1175": { + "node_id": "node_1175", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1174", + "improvement_over_parent": null + }, + "node_1176": { + "node_id": "node_1176", + "content": "INITIAL DESIGN (Trace 166)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0008)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 245.59 kg\n Factor of Safety: 0.98\n Max Deflection: 6.61e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.58630681037545, + "fos_buckling": 0.9802607409888527, + "fos_yielding": 1.7790568394186381, + "deflection": 0.006605757849041044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1177": { + "node_id": "node_1177", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0008)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 246.68 kg\n Factor of Safety: 0.98\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.6839938436491, + "fos_buckling": 0.9801032941511048, + "fos_yielding": 1.8354280641956937, + "deflection": 0.006546392065912216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.309)" + }, + "parent_node_id": "node_1176", + "improvement_over_parent": null + }, + "node_1178": { + "node_id": "node_1178", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 278.00 kg\n Factor of Safety: 1.08\n Max Deflection: 5.82e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.99780214258664, + "fos_buckling": 1.0775204157218692, + "fos_yielding": 2.069765690001064, + "deflection": 0.005824424271132608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_1177", + "improvement_over_parent": null + }, + "node_1179": { + "node_id": "node_1179", + "content": "MODIFICATION: Increase 7 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 278.75 kg\n Factor of Safety: 1.08\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.7476541143784, + "fos_buckling": 1.077285027544223, + "fos_yielding": 2.396102183552905, + "deflection": 0.005752919482010982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.661)" + }, + "parent_node_id": "node_1178", + "improvement_over_parent": null + }, + "node_1180": { + "node_id": "node_1180", + "content": "MODIFICATION: Increase 7 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 279.60 kg\n Factor of Safety: 1.08\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.59766587143895, + "fos_buckling": 1.0770183222567575, + "fos_yielding": 2.396102183552905, + "deflection": 0.00571231059867028, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.477)" + }, + "parent_node_id": "node_1179", + "improvement_over_parent": null + }, + "node_1181": { + "node_id": "node_1181", + "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 287.12 kg\n Factor of Safety: 1.08\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.1169620790341, + "fos_buckling": 1.0764289649849688, + "fos_yielding": 2.3961021835529053, + "deflection": 0.005628519765422665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.490)" + }, + "parent_node_id": "node_1180", + "improvement_over_parent": null + }, + "node_1182": { + "node_id": "node_1182", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 299.81 kg\n Factor of Safety: 1.48\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.8053333375227, + "fos_buckling": 1.4795403449536297, + "fos_yielding": 2.188103838667973, + "deflection": 0.005203944261267318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_1181", + "improvement_over_parent": null + }, + "node_1183": { + "node_id": "node_1183", + "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5279595681865, + "fos_buckling": 1.5145037691274916, + "fos_yielding": 2.1878886593571316, + "deflection": 0.005152784628919827, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.305)" + }, + "parent_node_id": "node_1182", + "improvement_over_parent": null + }, + "node_1184": { + "node_id": "node_1184", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1183", + "improvement_over_parent": null + }, + "node_1185": { + "node_id": "node_1185", + "content": "INITIAL DESIGN (Trace 167)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 213.27 kg\n Factor of Safety: 0.41\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.26894828353923, + "fos_buckling": 0.4127629600102391, + "fos_yielding": 1.3534577404570958, + "deflection": 0.011784028421181886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1186": { + "node_id": "node_1186", + "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 215.16 kg\n Factor of Safety: 0.41\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.15572692881105, + "fos_buckling": 0.4127629600102391, + "fos_yielding": 1.3534577404570958, + "deflection": 0.011730886050928549, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.305)" + }, + "parent_node_id": "node_1185", + "improvement_over_parent": null + }, + "node_1187": { + "node_id": "node_1187", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 244.47 kg\n Factor of Safety: 1.27\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.47049284690237, + "fos_buckling": 1.2674403484630112, + "fos_yielding": 1.7640586005913608, + "deflection": 0.006368933840628255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004741)" + }, + "parent_node_id": "node_1186", + "improvement_over_parent": null + }, + "node_1188": { + "node_id": "node_1188", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 272.60 kg\n Factor of Safety: 1.39\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.60429585962885, + "fos_buckling": 1.3879769809610314, + "fos_yielding": 1.9658104003408978, + "deflection": 0.005723895826671756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_1187", + "improvement_over_parent": null + }, + "node_1189": { + "node_id": "node_1189", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.37 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.36533656713044, + "fos_buckling": 1.5139035741992182, + "fos_yielding": 2.186107849457405, + "deflection": 0.005155542541455061, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_1188", + "improvement_over_parent": null + }, + "node_1190": { + "node_id": "node_1190", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1189", + "improvement_over_parent": null + }, + "node_1191": { + "node_id": "node_1191", + "content": "INITIAL DESIGN (Trace 168)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 198.74 kg\n Factor of Safety: 0.79\n Max Deflection: 8.10e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.74008416440108, + "fos_buckling": 0.7871501215872846, + "fos_yielding": 1.6382351680291696, + "deflection": 0.00809973335010415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1192": { + "node_id": "node_1192", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 227.10 kg\n Factor of Safety: 0.88\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.09602472415267, + "fos_buckling": 0.8810728557944373, + "fos_yielding": 1.8716380519083418, + "deflection": 0.007105485877213626, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_1191", + "improvement_over_parent": null + }, + "node_1193": { + "node_id": "node_1193", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n\nPerformance:\n Mass: 237.01 kg\n Factor of Safety: 1.23\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.01147020465064, + "fos_buckling": 1.2345739445192392, + "fos_yielding": 1.7108729459768455, + "deflection": 0.006565707394583437, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002909)" + }, + "parent_node_id": "node_1192", + "improvement_over_parent": null + }, + "node_1194": { + "node_id": "node_1194", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.30 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3003864702302, + "fos_buckling": 1.513597671612152, + "fos_yielding": 2.1860757849432995, + "deflection": 0.005156677663912122, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_1193", + "improvement_over_parent": null + }, + "node_1195": { + "node_id": "node_1195", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1194", + "improvement_over_parent": null + }, + "node_1196": { + "node_id": "node_1196", + "content": "INITIAL DESIGN (Trace 169)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 189.87 kg\n Factor of Safety: 0.50\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.868559214198, + "fos_buckling": 0.49602174574732777, + "fos_yielding": 1.619309835604254, + "deflection": 0.008718865918015017, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1197": { + "node_id": "node_1197", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 226.04 kg\n Factor of Safety: 0.58\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.04150890756557, + "fos_buckling": 0.5830908036366561, + "fos_yielding": 1.9223228220886714, + "deflection": 0.007339905032250437, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_1196", + "improvement_over_parent": null + }, + "node_1198": { + "node_id": "node_1198", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 257.59 kg\n Factor of Safety: 0.66\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.5895628290791, + "fos_buckling": 0.6570551022499397, + "fos_yielding": 2.185150433936736, + "deflection": 0.00645334838425085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_1197", + "improvement_over_parent": null + }, + "node_1199": { + "node_id": "node_1199", + "content": "MODIFICATION: Increase 12 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 264.83 kg\n Factor of Safety: 0.90\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.82760236694975, + "fos_buckling": 0.9040190458800069, + "fos_yielding": 2.181628060978564, + "deflection": 0.006148334433440244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.497)" + }, + "parent_node_id": "node_1198", + "improvement_over_parent": null + }, + "node_1200": { + "node_id": "node_1200", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 285.14 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.14093724897657, + "fos_buckling": 1.0758209264423355, + "fos_yielding": 2.3936676953287477, + "deflection": 0.005582772714577868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_1199", + "improvement_over_parent": null + }, + "node_1201": { + "node_id": "node_1201", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.17 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.1727039342063, + "fos_buckling": 1.512928687305451, + "fos_yielding": 2.184858492175026, + "deflection": 0.005159170183132047, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_1200", + "improvement_over_parent": null + }, + "node_1202": { + "node_id": "node_1202", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1201", + "improvement_over_parent": null + }, + "node_1203": { + "node_id": "node_1203", + "content": "INITIAL DESIGN (Trace 170)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 232.35 kg\n Factor of Safety: 0.83\n Max Deflection: 4.31e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.35488165765443, + "fos_buckling": 0.8321896129610563, + "fos_yielding": 1.7728610827623417, + "deflection": 4312499718494.043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1204": { + "node_id": "node_1204", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 255.61 kg\n Factor of Safety: 0.99\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.61057828376465, + "fos_buckling": 0.9917733997532672, + "fos_yielding": 1.7728610827623417, + "deflection": 0.0061713707539804855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004508)" + }, + "parent_node_id": "node_1203", + "improvement_over_parent": null + }, + "node_1205": { + "node_id": "node_1205", + "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 257.33 kg\n Factor of Safety: 0.99\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.32811019545625, + "fos_buckling": 0.9917733997532672, + "fos_yielding": 2.161145873909314, + "deflection": 0.0061713707539804855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.238)" + }, + "parent_node_id": "node_1204", + "improvement_over_parent": null + }, + "node_1206": { + "node_id": "node_1206", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n\nPerformance:\n Mass: 273.59 kg\n Factor of Safety: 1.39\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.58570972099994, + "fos_buckling": 1.392052090235202, + "fos_yielding": 1.9736968409616467, + "deflection": 0.005703806932801962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003769)" + }, + "parent_node_id": "node_1205", + "improvement_over_parent": null + }, + "node_1207": { + "node_id": "node_1207", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4597047809472, + "fos_buckling": 1.5142442013217698, + "fos_yielding": 2.1877180650798227, + "deflection": 0.00515399212641547, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_1206", + "improvement_over_parent": null + }, + "node_1208": { + "node_id": "node_1208", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1207", + "improvement_over_parent": null + }, + "node_1209": { + "node_id": "node_1209", + "content": "INITIAL DESIGN (Trace 171)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 210.41 kg\n Factor of Safety: 0.63\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.41484899201112, + "fos_buckling": 0.626246604892272, + "fos_yielding": 1.8228119496010664, + "deflection": 0.0146638305920954, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1210": { + "node_id": "node_1210", + "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 212.37 kg\n Factor of Safety: 0.63\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.37021893340676, + "fos_buckling": 0.626246604892272, + "fos_yielding": 1.8228119496010664, + "deflection": 0.014725409472452848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.359)" + }, + "parent_node_id": "node_1209", + "improvement_over_parent": null + }, + "node_1211": { + "node_id": "node_1211", + "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 218.36 kg\n Factor of Safety: 0.63\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.35691553268822, + "fos_buckling": 0.626246604892272, + "fos_yielding": 1.822811949601065, + "deflection": 0.014574252017912643, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.393)" + }, + "parent_node_id": "node_1210", + "improvement_over_parent": null + }, + "node_1212": { + "node_id": "node_1212", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 237.42 kg\n Factor of Safety: 0.60\n Max Deflection: 8.92e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.42008093030773, + "fos_buckling": 0.5996445302603669, + "fos_yielding": 1.6080540264503056, + "deflection": 0.008918477687244358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003864)" + }, + "parent_node_id": "node_1211", + "improvement_over_parent": null + }, + "node_1213": { + "node_id": "node_1213", + "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 242.21 kg\n Factor of Safety: 0.60\n Max Deflection: 8.91e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.2083304370259, + "fos_buckling": 0.6046582233578561, + "fos_yielding": 1.6104815766480485, + "deflection": 0.008910383167697843, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.339)" + }, + "parent_node_id": "node_1212", + "improvement_over_parent": null + }, + "node_1214": { + "node_id": "node_1214", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 294.93 kg\n Factor of Safety: 0.71\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.9265758719548, + "fos_buckling": 0.710423586848895, + "fos_yielding": 1.9588257764046497, + "deflection": 0.007337342114860801, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_1213", + "improvement_over_parent": null + }, + "node_1215": { + "node_id": "node_1215", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 297.73 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.73083185109533, + "fos_buckling": 0.8888771099263671, + "fos_yielding": 2.158178856917021, + "deflection": 0.006520477275597339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_1214", + "improvement_over_parent": null + }, + "node_1216": { + "node_id": "node_1216", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.31 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.30503151607155, + "fos_buckling": 1.513656302566867, + "fos_yielding": 2.185883006091672, + "deflection": 0.0051562719762017085, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1215", + "improvement_over_parent": null + }, + "node_1217": { + "node_id": "node_1217", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1216", + "improvement_over_parent": null + }, + "node_1218": { + "node_id": "node_1218", + "content": "INITIAL DESIGN (Trace 172)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 243.46 kg\n Factor of Safety: 0.64\n Max Deflection: 6.61e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.46235549159724, + "fos_buckling": 0.6378425091822245, + "fos_yielding": 1.898153863168765, + "deflection": 0.006612929605454895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1219": { + "node_id": "node_1219", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 277.43 kg\n Factor of Safety: 0.72\n Max Deflection: 5.81e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.42506602632824, + "fos_buckling": 0.7170695673630372, + "fos_yielding": 2.160821312992366, + "deflection": 0.005814634881903578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_1218", + "improvement_over_parent": null + }, + "node_1220": { + "node_id": "node_1220", + "content": "MODIFICATION: Increase 12 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.04 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.044113745669, + "fos_buckling": 0.9061979304673919, + "fos_yielding": 2.160492127393664, + "deflection": 0.00560012658268353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.350)" + }, + "parent_node_id": "node_1219", + "improvement_over_parent": null + }, + "node_1221": { + "node_id": "node_1221", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3574486276958, + "fos_buckling": 1.5137435742258913, + "fos_yielding": 2.1863347745520096, + "deflection": 0.005155895435060198, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_1220", + "improvement_over_parent": null + }, + "node_1222": { + "node_id": "node_1222", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1221", + "improvement_over_parent": null + }, + "node_1223": { + "node_id": "node_1223", + "content": "INITIAL DESIGN (Trace 173)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 132.19 kg\n Factor of Safety: 0.30\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.18895785617883, + "fos_buckling": 0.30082610137619353, + "fos_yielding": 0.8238898055034816, + "deflection": 0.020537458335919245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1224": { + "node_id": "node_1224", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n\nPerformance:\n Mass: 133.76 kg\n Factor of Safety: 0.30\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.75730284909724, + "fos_buckling": 0.3007907066952025, + "fos_yielding": 0.8238898055034816, + "deflection": 0.020043220558083122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001266)" + }, + "parent_node_id": "node_1223", + "improvement_over_parent": null + }, + "node_1225": { + "node_id": "node_1225", + "content": "MODIFICATION: Increase 10 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n\nPerformance:\n Mass: 136.41 kg\n Factor of Safety: 0.30\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.41050743106578, + "fos_buckling": 0.3007009270985252, + "fos_yielding": 0.8238898055034825, + "deflection": 0.01978414434437422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.248)" + }, + "parent_node_id": "node_1224", + "improvement_over_parent": null + }, + "node_1226": { + "node_id": "node_1226", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n\nPerformance:\n Mass: 164.69 kg\n Factor of Safety: 0.36\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.688894097812, + "fos_buckling": 0.35532523078551653, + "fos_yielding": 0.99436647519375, + "deflection": 0.016406242117400736, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_1225", + "improvement_over_parent": null + }, + "node_1227": { + "node_id": "node_1227", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n\nPerformance:\n Mass: 180.38 kg\n Factor of Safety: 0.35\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.3752103376218, + "fos_buckling": 0.35470055628416913, + "fos_yielding": 1.1362755004483638, + "deflection": 0.014856590878090888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003137)" + }, + "parent_node_id": "node_1226", + "improvement_over_parent": null + }, + "node_1228": { + "node_id": "node_1228", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 211.94 kg\n Factor of Safety: 0.41\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.93846734542075, + "fos_buckling": 0.40745855048542756, + "fos_yielding": 1.3334646060098998, + "deflection": 0.012662288998618149, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_1227", + "improvement_over_parent": null + }, + "node_1229": { + "node_id": "node_1229", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 240.79 kg\n Factor of Safety: 1.22\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.79288073808206, + "fos_buckling": 1.2189479229418168, + "fos_yielding": 1.739380273804857, + "deflection": 0.006500332504153695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004661)" + }, + "parent_node_id": "node_1228", + "improvement_over_parent": null + }, + "node_1230": { + "node_id": "node_1230", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0056)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.68 kg\n Factor of Safety: 1.48\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.6833495465522, + "fos_buckling": 1.4769551976971782, + "fos_yielding": 2.1908331331363207, + "deflection": 0.005177935880986892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_1229", + "improvement_over_parent": null + }, + "node_1231": { + "node_id": "node_1231", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1230", + "improvement_over_parent": null + }, + "node_1232": { + "node_id": "node_1232", + "content": "INITIAL DESIGN (Trace 174)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 193.62 kg\n Factor of Safety: 0.36\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.62184641187022, + "fos_buckling": 0.3624644956756836, + "fos_yielding": 0.8793241074165636, + "deflection": 0.015955235625001084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1233": { + "node_id": "node_1233", + "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 195.63 kg\n Factor of Safety: 0.36\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.63375990656462, + "fos_buckling": 0.3624644956756836, + "fos_yielding": 0.8793241074165636, + "deflection": 0.015955235625001084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.399)" + }, + "parent_node_id": "node_1232", + "improvement_over_parent": null + }, + "node_1234": { + "node_id": "node_1234", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n\nPerformance:\n Mass: 215.94 kg\n Factor of Safety: 0.89\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.9362896323464, + "fos_buckling": 0.8873271682646615, + "fos_yielding": 1.7038497325168258, + "deflection": 0.007676786906341866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004153)" + }, + "parent_node_id": "node_1233", + "improvement_over_parent": null + }, + "node_1235": { + "node_id": "node_1235", + "content": "MODIFICATION: Increase 10 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0053)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n\nPerformance:\n Mass: 223.60 kg\n Factor of Safety: 0.89\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.5955853420667, + "fos_buckling": 0.8865680350684727, + "fos_yielding": 1.7066657545501949, + "deflection": 0.007605563251367907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.541)" + }, + "parent_node_id": "node_1234", + "improvement_over_parent": null + }, + "node_1236": { + "node_id": "node_1236", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0053)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n\nPerformance:\n Mass: 236.92 kg\n Factor of Safety: 1.17\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.91799228409658, + "fos_buckling": 1.168918263220958, + "fos_yielding": 1.7042838674160128, + "deflection": 0.006671639615719893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003364)" + }, + "parent_node_id": "node_1235", + "improvement_over_parent": null + }, + "node_1237": { + "node_id": "node_1237", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0061)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n\nPerformance:\n Mass: 270.66 kg\n Factor of Safety: 1.31\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.655827156476, + "fos_buckling": 1.3079191703068591, + "fos_yielding": 1.946228626618322, + "deflection": 0.005852717526516014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_1236", + "improvement_over_parent": null + }, + "node_1238": { + "node_id": "node_1238", + "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0070)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0061)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n\nPerformance:\n Mass: 280.27 kg\n Factor of Safety: 1.38\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.26620952861015, + "fos_buckling": 1.3814849217039749, + "fos_yielding": 1.9463932078456152, + "deflection": 0.005600650506929152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.332)" + }, + "parent_node_id": "node_1237", + "improvement_over_parent": null + }, + "node_1239": { + "node_id": "node_1239", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0080)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0069)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 315.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.99e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 315.13918892555415, + "fos_buckling": 1.5199793342050378, + "fos_yielding": 2.1890512924679597, + "deflection": 0.004992592837722818, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_1238", + "improvement_over_parent": null + }, + "node_1240": { + "node_id": "node_1240", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1239", + "improvement_over_parent": null + }, + "node_1241": { + "node_id": "node_1241", + "content": "INITIAL DESIGN (Trace 175)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 259.67 kg\n Factor of Safety: 0.45\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.673362006695, + "fos_buckling": 0.4456274526334626, + "fos_yielding": 1.0824033295428572, + "deflection": 0.012441910823305386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1242": { + "node_id": "node_1242", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 272.36 kg\n Factor of Safety: 0.45\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.3617332651836, + "fos_buckling": 0.44541741550908714, + "fos_yielding": 1.4214267881694775, + "deflection": 0.010818282423813287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_1241", + "improvement_over_parent": null + }, + "node_1243": { + "node_id": "node_1243", + "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0057)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 277.42 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.42266437684714, + "fos_buckling": 0.4451663469933876, + "fos_yielding": 1.4208687671499252, + "deflection": 0.010664810400269517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.282)" + }, + "parent_node_id": "node_1242", + "improvement_over_parent": null + }, + "node_1244": { + "node_id": "node_1244", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0057)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.47\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.5104566596233, + "fos_buckling": 1.4718595792609788, + "fos_yielding": 2.1886972244720724, + "deflection": 0.0051863835562611605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_1243", + "improvement_over_parent": null + }, + "node_1245": { + "node_id": "node_1245", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1244", + "improvement_over_parent": null + }, + "node_1246": { + "node_id": "node_1246", + "content": "INITIAL DESIGN (Trace 176)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 155.39 kg\n Factor of Safety: 0.35\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.39096440834717, + "fos_buckling": 0.3513472642398164, + "fos_yielding": 1.1246408774731291, + "deflection": 0.010985526431864403, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1247": { + "node_id": "node_1247", + "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 155.89 kg\n Factor of Safety: 0.35\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.89048964728107, + "fos_buckling": 0.35132122243999636, + "fos_yielding": 1.124622109382187, + "deflection": 0.010965831411146038, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.183)" + }, + "parent_node_id": "node_1246", + "improvement_over_parent": null + }, + "node_1248": { + "node_id": "node_1248", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 172.65 kg\n Factor of Safety: 0.38\n Max Deflection: 9.91e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.649684715487, + "fos_buckling": 0.38398286870603626, + "fos_yielding": 1.24474432508784, + "deflection": 0.009914681841718525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1247", + "improvement_over_parent": null + }, + "node_1249": { + "node_id": "node_1249", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 206.23 kg\n Factor of Safety: 0.45\n Max Deflection: 8.32e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.2338656553066, + "fos_buckling": 0.4465297729786081, + "fos_yielding": 1.485007091032804, + "deflection": 0.008322452035080103, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_1248", + "improvement_over_parent": null + }, + "node_1250": { + "node_id": "node_1250", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 226.91 kg\n Factor of Safety: 0.75\n Max Deflection: 6.96e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.90581689539184, + "fos_buckling": 0.7523356524299912, + "fos_yielding": 1.734354677286041, + "deflection": 0.006958811391158316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003969)" + }, + "parent_node_id": "node_1249", + "improvement_over_parent": null + }, + "node_1251": { + "node_id": "node_1251", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 243.19 kg\n Factor of Safety: 1.26\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.19009532334803, + "fos_buckling": 1.2617599595871878, + "fos_yielding": 1.7552599797785151, + "deflection": 0.006401981971435715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003523)" + }, + "parent_node_id": "node_1250", + "improvement_over_parent": null + }, + "node_1252": { + "node_id": "node_1252", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.44 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4385244329915, + "fos_buckling": 1.514117938781417, + "fos_yielding": 2.187105833332412, + "deflection": 0.005154437974444752, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_1251", + "improvement_over_parent": null + }, + "node_1253": { + "node_id": "node_1253", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1252", + "improvement_over_parent": null + }, + "node_1254": { + "node_id": "node_1254", + "content": "INITIAL DESIGN (Trace 177)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0013)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0010)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0007)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0018)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0014)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0013)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0015)]\n\nPerformance:\n Mass: 98.77 kg\n Factor of Safety: 0.56\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.76705090657809, + "fos_buckling": 0.5600734106433416, + "fos_yielding": 0.715221412009549, + "deflection": 0.015589357198743315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1255": { + "node_id": "node_1255", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0009)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0020)]\n\nPerformance:\n Mass: 127.29 kg\n Factor of Safety: 0.71\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.29390231229752, + "fos_buckling": 0.7096269559487715, + "fos_yielding": 0.9211971028634329, + "deflection": 0.0121223688724624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_1254", + "improvement_over_parent": null + }, + "node_1256": { + "node_id": "node_1256", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n\nPerformance:\n Mass: 141.25 kg\n Factor of Safety: 0.78\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.25119435398364, + "fos_buckling": 0.7808226903296384, + "fos_yielding": 1.0218766412872673, + "deflection": 0.010936273359917835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1255", + "improvement_over_parent": null + }, + "node_1257": { + "node_id": "node_1257", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 163.92 kg\n Factor of Safety: 0.89\n Max Deflection: 9.44e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.9186990366885, + "fos_buckling": 0.8936937909675947, + "fos_yielding": 1.1852495763114028, + "deflection": 0.00944037766263682, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1256", + "improvement_over_parent": null + }, + "node_1258": { + "node_id": "node_1258", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 203.81 kg\n Factor of Safety: 1.08\n Max Deflection: 7.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.81175782895036, + "fos_buckling": 1.0840960597767073, + "fos_yielding": 1.472362633400545, + "deflection": 0.007615819005504834, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_1257", + "improvement_over_parent": null + }, + "node_1259": { + "node_id": "node_1259", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 231.05 kg\n Factor of Safety: 1.21\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.04572717740757, + "fos_buckling": 1.208075943424669, + "fos_yielding": 1.6680671398861688, + "deflection": 0.006732124826117277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_1258", + "improvement_over_parent": null + }, + "node_1260": { + "node_id": "node_1260", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 265.18 kg\n Factor of Safety: 1.36\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.1779048331905, + "fos_buckling": 1.3566258078267919, + "fos_yielding": 1.9129992938460332, + "deflection": 0.005880894774773886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_1259", + "improvement_over_parent": null + }, + "node_1261": { + "node_id": "node_1261", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.55334079943503, + "fos_buckling": 1.5146227713131788, + "fos_yielding": 2.1879261624103727, + "deflection": 0.005152445698995163, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_1260", + "improvement_over_parent": null + }, + "node_1262": { + "node_id": "node_1262", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1261", + "improvement_over_parent": null + }, + "node_1263": { + "node_id": "node_1263", + "content": "INITIAL DESIGN (Trace 178)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.42 kg\n Factor of Safety: 1.12\n Max Deflection: 5.40e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.42280251013165, + "fos_buckling": 1.1169178554837602, + "fos_yielding": 2.1010218948088974, + "deflection": 0.005398560814315917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1264": { + "node_id": "node_1264", + "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 296.48 kg\n Factor of Safety: 1.17\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.48153303930445, + "fos_buckling": 1.1741880155832434, + "fos_yielding": 2.1106340039867235, + "deflection": 0.005279006445062575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.642)" + }, + "parent_node_id": "node_1263", + "improvement_over_parent": null + }, + "node_1265": { + "node_id": "node_1265", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 299.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.18e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 299.285789018445, + "fos_buckling": 1.505848064056519, + "fos_yielding": 2.1852062570158135, + "deflection": 0.005184752293883771, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_1264", + "improvement_over_parent": null + }, + "node_1266": { + "node_id": "node_1266", + "content": "MODIFICATION: Increase 12 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0061)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 305.03 kg\n Factor of Safety: 1.52\n Max Deflection: 5.14e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 305.0321851559038, + "fos_buckling": 1.5186679964476093, + "fos_yielding": 2.1829441856047698, + "deflection": 0.005135006721427307, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.280)" + }, + "parent_node_id": "node_1265", + "improvement_over_parent": null + }, + "node_1267": { + "node_id": "node_1267", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1266", + "improvement_over_parent": null + }, + "node_1268": { + "node_id": "node_1268", + "content": "INITIAL DESIGN (Trace 179)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 158.09 kg\n Factor of Safety: 0.96\n Max Deflection: 6.98e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.0907813204658, + "fos_buckling": 0.9648252641715369, + "fos_yielding": 1.58514234873538, + "deflection": 6976294235121.388, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1269": { + "node_id": "node_1269", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n\nPerformance:\n Mass: 184.13 kg\n Factor of Safety: 0.68\n Max Deflection: 9.97e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.12909565670878, + "fos_buckling": 0.6826463811284855, + "fos_yielding": 1.550062794334364, + "deflection": 0.009972567861325889, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004176)" + }, + "parent_node_id": "node_1268", + "improvement_over_parent": null + }, + "node_1270": { + "node_id": "node_1270", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 207.46 kg\n Factor of Safety: 0.76\n Max Deflection: 8.86e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.46155486823108, + "fos_buckling": 0.7569570573746002, + "fos_yielding": 1.7451508059849004, + "deflection": 0.008861340499514826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_1269", + "improvement_over_parent": null + }, + "node_1271": { + "node_id": "node_1271", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 223.84 kg\n Factor of Safety: 0.91\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.84464184113318, + "fos_buckling": 0.9145027928210636, + "fos_yielding": 1.7725427127688438, + "deflection": 0.007844644993550498, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003546)" + }, + "parent_node_id": "node_1270", + "improvement_over_parent": null + }, + "node_1272": { + "node_id": "node_1272", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 277.79 kg\n Factor of Safety: 1.09\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.7897355846107, + "fos_buckling": 1.0918004695631347, + "fos_yielding": 2.1958643243733893, + "deflection": 0.006344242471723796, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_1271", + "improvement_over_parent": null + }, + "node_1273": { + "node_id": "node_1273", + "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 286.35 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.3468066138353, + "fos_buckling": 1.090761419336617, + "fos_yielding": 2.1899461121414823, + "deflection": 0.006003559709097744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.502)" + }, + "parent_node_id": "node_1272", + "improvement_over_parent": null + }, + "node_1274": { + "node_id": "node_1274", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4647618454098, + "fos_buckling": 1.5141467961944688, + "fos_yielding": 2.1872244122487854, + "deflection": 0.005153842406514669, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_1273", + "improvement_over_parent": null + }, + "node_1275": { + "node_id": "node_1275", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1274", + "improvement_over_parent": null + }, + "node_1276": { + "node_id": "node_1276", + "content": "INITIAL DESIGN (Trace 180)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 157.36 kg\n Factor of Safety: 0.61\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.36293620324776, + "fos_buckling": 0.6055562475927434, + "fos_yielding": 1.2955891822785528, + "deflection": 0.010590148944345623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1277": { + "node_id": "node_1277", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 188.81 kg\n Factor of Safety: 0.72\n Max Deflection: 8.84e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.80591629030482, + "fos_buckling": 0.7162584897308452, + "fos_yielding": 1.5530549228944135, + "deflection": 0.008843947240028306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1276", + "improvement_over_parent": null + }, + "node_1278": { + "node_id": "node_1278", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 204.85 kg\n Factor of Safety: 1.10\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.8450998179377, + "fos_buckling": 1.100265401813154, + "fos_yielding": 1.5293708239501649, + "deflection": 0.007533898630745761, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003212)" + }, + "parent_node_id": "node_1277", + "improvement_over_parent": null + }, + "node_1279": { + "node_id": "node_1279", + "content": "MODIFICATION: Increase 14 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 213.20 kg\n Factor of Safety: 1.10\n Max Deflection: 7.40e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.195508361053, + "fos_buckling": 1.0995945453429672, + "fos_yielding": 1.5470774827510159, + "deflection": 0.007396329166627839, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.515)" + }, + "parent_node_id": "node_1278", + "improvement_over_parent": null + }, + "node_1280": { + "node_id": "node_1280", + "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 213.82 kg\n Factor of Safety: 1.11\n Max Deflection: 7.35e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.8180804929143, + "fos_buckling": 1.1097755700114857, + "fos_yielding": 1.5475552352153268, + "deflection": 0.00734553175349108, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.205)" + }, + "parent_node_id": "node_1279", + "improvement_over_parent": null + }, + "node_1281": { + "node_id": "node_1281", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n\nPerformance:\n Mass: 264.07 kg\n Factor of Safety: 1.33\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.06922237997685, + "fos_buckling": 1.3293368526736837, + "fos_yielding": 1.9103634499567426, + "deflection": 0.005966991461098863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_1280", + "improvement_over_parent": null + }, + "node_1282": { + "node_id": "node_1282", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0077)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 309.25 kg\n Factor of Safety: 1.51\n Max Deflection: 5.11e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 309.25304129880493, + "fos_buckling": 1.5135435116733909, + "fos_yielding": 2.236340427614637, + "deflection": 0.0051098243827644415, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_1281", + "improvement_over_parent": null + }, + "node_1283": { + "node_id": "node_1283", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1282", + "improvement_over_parent": null + }, + "node_1284": { + "node_id": "node_1284", + "content": "INITIAL DESIGN (Trace 181)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 177.15 kg\n Factor of Safety: 0.46\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.14780698726997, + "fos_buckling": 0.46165774391410963, + "fos_yielding": 1.1796653318325514, + "deflection": 0.012142394801058892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1285": { + "node_id": "node_1285", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 206.47 kg\n Factor of Safety: 0.53\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.46954338993453, + "fos_buckling": 0.5278864644930691, + "fos_yielding": 1.3740683773008968, + "deflection": 0.010433642144542739, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_1284", + "improvement_over_parent": null + }, + "node_1286": { + "node_id": "node_1286", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0009)]\n\nPerformance:\n Mass: 207.61 kg\n Factor of Safety: 0.67\n Max Deflection: 9.40e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.6080689560955, + "fos_buckling": 0.6749652227852185, + "fos_yielding": 1.4972320415758638, + "deflection": 0.00939628625264726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.000907)" + }, + "parent_node_id": "node_1285", + "improvement_over_parent": null + }, + "node_1287": { + "node_id": "node_1287", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n\nPerformance:\n Mass: 259.21 kg\n Factor of Safety: 0.82\n Max Deflection: 7.55e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.20776869936805, + "fos_buckling": 0.8174848945696069, + "fos_yielding": 1.8674584545703596, + "deflection": 0.007546165600778536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_1286", + "improvement_over_parent": null + }, + "node_1288": { + "node_id": "node_1288", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n\nPerformance:\n Mass: 296.73 kg\n Factor of Safety: 0.91\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.72982721954827, + "fos_buckling": 0.9148035461954271, + "fos_yielding": 2.136215617417623, + "deflection": 0.006604837397469059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_1287", + "improvement_over_parent": null + }, + "node_1289": { + "node_id": "node_1289", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 302.30 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 302.3040268845245, + "fos_buckling": 1.5128396622705849, + "fos_yielding": 2.1785430396391603, + "deflection": 0.005162990194533922, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1288", + "improvement_over_parent": null + }, + "node_1290": { + "node_id": "node_1290", + "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0071)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 308.25 kg\n Factor of Safety: 1.56\n Max Deflection: 5.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 308.2463969801433, + "fos_buckling": 1.562627215759418, + "fos_yielding": 2.178690454497488, + "deflection": 0.005041855655326252, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.183)" + }, + "parent_node_id": "node_1289", + "improvement_over_parent": null + }, + "node_1291": { + "node_id": "node_1291", + "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0106)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 325.77 kg\n Factor of Safety: 1.56\n Max Deflection: 4.81e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 325.77247718289954, + "fos_buckling": 1.555404819812243, + "fos_yielding": 2.1788677219000117, + "deflection": 0.004808343755140325, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.495)" + }, + "parent_node_id": "node_1290", + "improvement_over_parent": null + }, + "node_1292": { + "node_id": "node_1292", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1291", + "improvement_over_parent": null + }, + "node_1293": { + "node_id": "node_1293", + "content": "INITIAL DESIGN (Trace 182)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 168.29 kg\n Factor of Safety: 0.60\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.29294620012092, + "fos_buckling": 0.5970288494988155, + "fos_yielding": 1.3549804805145802, + "deflection": 0.01150391802715938, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1294": { + "node_id": "node_1294", + "content": "MODIFICATION: Increase 5 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 170.81 kg\n Factor of Safety: 0.60\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.81156693090156, + "fos_buckling": 0.5970886403613798, + "fos_yielding": 1.3551148390598335, + "deflection": 0.011505167036453618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.508)" + }, + "parent_node_id": "node_1293", + "improvement_over_parent": null + }, + "node_1295": { + "node_id": "node_1295", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 216.89 kg\n Factor of Safety: 0.74\n Max Deflection: 9.09e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.8949615865935, + "fos_buckling": 0.7373702818009857, + "fos_yielding": 1.7166781462257699, + "deflection": 0.009087618975710497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_1294", + "improvement_over_parent": null + }, + "node_1296": { + "node_id": "node_1296", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 221.21 kg\n Factor of Safety: 0.88\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.2145901459353, + "fos_buckling": 0.875998163711213, + "fos_yielding": 1.8578848435840303, + "deflection": 0.007156634674879304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002522)" + }, + "parent_node_id": "node_1295", + "improvement_over_parent": null + }, + "node_1297": { + "node_id": "node_1297", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 235.19 kg\n Factor of Safety: 1.23\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.18940083462152, + "fos_buckling": 1.2265479395756687, + "fos_yielding": 1.697941137326528, + "deflection": 0.006615480706396682, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003201)" + }, + "parent_node_id": "node_1296", + "improvement_over_parent": null + }, + "node_1298": { + "node_id": "node_1298", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.54 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5378856518719, + "fos_buckling": 1.514597745334216, + "fos_yielding": 2.1879654603053393, + "deflection": 0.005152605824715076, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_1297", + "improvement_over_parent": null + }, + "node_1299": { + "node_id": "node_1299", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1298", + "improvement_over_parent": null + }, + "node_1300": { + "node_id": "node_1300", + "content": "INITIAL DESIGN (Trace 183)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 178.87 kg\n Factor of Safety: 0.95\n Max Deflection: 5.45e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.8670620643373, + "fos_buckling": 0.9507930040763625, + "fos_yielding": 1.9290422535603304, + "deflection": 5447461653675.088, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1301": { + "node_id": "node_1301", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 223.66 kg\n Factor of Safety: 0.92\n Max Deflection: 5.38e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.66497440748788, + "fos_buckling": 0.9177291614286232, + "fos_yielding": 1.9704030342843806, + "deflection": 5376390703533.166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_1300", + "improvement_over_parent": null + }, + "node_1302": { + "node_id": "node_1302", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 243.98 kg\n Factor of Safety: 0.06\n Max Deflection: 7.11e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.9783092895147, + "fos_buckling": 0.05735807258928895, + "fos_yielding": 0.14860709519394186, + "deflection": 71051751334111.44, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_1301", + "improvement_over_parent": null + }, + "node_1303": { + "node_id": "node_1303", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 270.07 kg\n Factor of Safety: 1.11\n Max Deflection: 6.27e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.06610157229085, + "fos_buckling": 1.1059725855903204, + "fos_yielding": 2.1897894888984206, + "deflection": 0.00626793410240847, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_1302", + "improvement_over_parent": null + }, + "node_1304": { + "node_id": "node_1304", + "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 273.75 kg\n Factor of Safety: 1.13\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.75359083226414, + "fos_buckling": 1.1347349221416518, + "fos_yielding": 2.1897248475513114, + "deflection": 0.006149677718477648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.185)" + }, + "parent_node_id": "node_1303", + "improvement_over_parent": null + }, + "node_1305": { + "node_id": "node_1305", + "content": "MODIFICATION: Increase 2 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 280.28 kg\n Factor of Safety: 1.13\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.2829753672609, + "fos_buckling": 1.1349474817957634, + "fos_yielding": 2.225775982759948, + "deflection": 0.00602377031817889, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.616)" + }, + "parent_node_id": "node_1304", + "improvement_over_parent": null + }, + "node_1306": { + "node_id": "node_1306", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5064957484089, + "fos_buckling": 1.5143549287986136, + "fos_yielding": 2.187643784080875, + "deflection": 0.005153101974539118, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_1305", + "improvement_over_parent": null + }, + "node_1307": { + "node_id": "node_1307", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1306", + "improvement_over_parent": null + }, + "node_1308": { + "node_id": "node_1308", + "content": "INITIAL DESIGN (Trace 184)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0014)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n\nPerformance:\n Mass: 110.95 kg\n Factor of Safety: 0.26\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.95182133092175, + "fos_buckling": 0.262356976554116, + "fos_yielding": 0.8139005597726103, + "deflection": 0.016653821617715295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1309": { + "node_id": "node_1309", + "content": "MODIFICATION: Increase 12 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n\nPerformance:\n Mass: 114.06 kg\n Factor of Safety: 0.26\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.05898957580105, + "fos_buckling": 0.26217476991834904, + "fos_yielding": 0.8137736658845922, + "deflection": 0.01641975428768289, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.456)" + }, + "parent_node_id": "node_1308", + "improvement_over_parent": null + }, + "node_1310": { + "node_id": "node_1310", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n\nPerformance:\n Mass: 126.21 kg\n Factor of Safety: 0.29\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.21471680760854, + "fos_buckling": 0.28740284332842875, + "fos_yielding": 0.9000647489523639, + "deflection": 0.01485470958983969, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.111)" + }, + "parent_node_id": "node_1309", + "improvement_over_parent": null + }, + "node_1311": { + "node_id": "node_1311", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 159.98 kg\n Factor of Safety: 0.35\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.98057509417143, + "fos_buckling": 0.35480079764607525, + "fos_yielding": 1.1393239496970422, + "deflection": 0.01175525075274486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_1310", + "improvement_over_parent": null + }, + "node_1312": { + "node_id": "node_1312", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 204.00 kg\n Factor of Safety: 0.44\n Max Deflection: 9.26e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.0023859292854, + "fos_buckling": 0.43682630640444736, + "fos_yielding": 1.450291525936217, + "deflection": 0.009255188831153487, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1311", + "improvement_over_parent": null + }, + "node_1313": { + "node_id": "node_1313", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 260.14 kg\n Factor of Safety: 0.53\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.13512875606654, + "fos_buckling": 0.5320029596722123, + "fos_yielding": 1.8452365230564194, + "deflection": 0.007294686172523762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_1312", + "improvement_over_parent": null + }, + "node_1314": { + "node_id": "node_1314", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 277.25 kg\n Factor of Safety: 0.53\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.253083987641, + "fos_buckling": 0.5313390876695183, + "fos_yielding": 1.8447114232286834, + "deflection": 0.00671311924421684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_1313", + "improvement_over_parent": null + }, + "node_1315": { + "node_id": "node_1315", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.04 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.04371153005496, + "fos_buckling": 1.512502748912063, + "fos_yielding": 2.1839056222790667, + "deflection": 0.005161344416749101, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_1314", + "improvement_over_parent": null + }, + "node_1316": { + "node_id": "node_1316", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1315", + "improvement_over_parent": null + }, + "node_1317": { + "node_id": "node_1317", + "content": "INITIAL DESIGN (Trace 185)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 194.50 kg\n Factor of Safety: 0.72\n Max Deflection: 8.89e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.5004155314956, + "fos_buckling": 0.7247128916140531, + "fos_yielding": 1.1285207615354702, + "deflection": 0.00889248753457171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1318": { + "node_id": "node_1318", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n\nPerformance:\n Mass: 211.09 kg\n Factor of Safety: 0.89\n Max Deflection: 7.47e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.08800521134523, + "fos_buckling": 0.8863456529426338, + "fos_yielding": 1.108243680385755, + "deflection": 0.007466435777517246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003329)" + }, + "parent_node_id": "node_1317", + "improvement_over_parent": null + }, + "node_1319": { + "node_id": "node_1319", + "content": "MODIFICATION: Increase 9 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n\nPerformance:\n Mass: 213.36 kg\n Factor of Safety: 1.04\n Max Deflection: 7.38e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.35725173554968, + "fos_buckling": 1.0362144607296764, + "fos_yielding": 1.562984644959034, + "deflection": 0.007377637698830975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.456)" + }, + "parent_node_id": "node_1318", + "improvement_over_parent": null + }, + "node_1320": { + "node_id": "node_1320", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 247.45 kg\n Factor of Safety: 1.18\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.44834816110256, + "fos_buckling": 1.180548622906221, + "fos_yielding": 1.811062594807014, + "deflection": 0.006376699313873659, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_1319", + "improvement_over_parent": null + }, + "node_1321": { + "node_id": "node_1321", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 251.32 kg\n Factor of Safety: 1.30\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.3197119025204, + "fos_buckling": 1.297168473480813, + "fos_yielding": 1.8130504408103145, + "deflection": 0.006198384091105887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.235)" + }, + "parent_node_id": "node_1320", + "improvement_over_parent": null + }, + "node_1322": { + "node_id": "node_1322", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.27160347887894, + "fos_buckling": 1.5134334933665161, + "fos_yielding": 2.1852611989913795, + "deflection": 0.005156923953187818, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1321", + "improvement_over_parent": null + }, + "node_1323": { + "node_id": "node_1323", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1322", + "improvement_over_parent": null + }, + "node_1324": { + "node_id": "node_1324", + "content": "INITIAL DESIGN (Trace 186)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 257.76 kg\n Factor of Safety: 1.08\n Max Deflection: 8.30e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.7621493370694, + "fos_buckling": 1.0800658085579389, + "fos_yielding": 2.3956202866251504, + "deflection": 0.00830199346829302, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1325": { + "node_id": "node_1325", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 260.57 kg\n Factor of Safety: 1.08\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.5664053162099, + "fos_buckling": 1.0791815732576724, + "fos_yielding": 2.3956202866251504, + "deflection": 0.00656948677555221, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_1324", + "improvement_over_parent": null + }, + "node_1326": { + "node_id": "node_1326", + "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 266.59 kg\n Factor of Safety: 1.09\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.59281362276744, + "fos_buckling": 1.0920740155796618, + "fos_yielding": 2.395620286625149, + "deflection": 0.00645084982358008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.264)" + }, + "parent_node_id": "node_1325", + "improvement_over_parent": null + }, + "node_1327": { + "node_id": "node_1327", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 283.71 kg\n Factor of Safety: 1.27\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.7107688543419, + "fos_buckling": 1.2725403106621704, + "fos_yielding": 2.395620286625149, + "deflection": 0.005676914440992019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_1326", + "improvement_over_parent": null + }, + "node_1328": { + "node_id": "node_1328", + "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 288.56 kg\n Factor of Safety: 1.27\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.56321835574767, + "fos_buckling": 1.2711925587707524, + "fos_yielding": 2.3956202866251504, + "deflection": 0.005513223646352308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.238)" + }, + "parent_node_id": "node_1327", + "improvement_over_parent": null + }, + "node_1329": { + "node_id": "node_1329", + "content": "MODIFICATION: Increase 10 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 293.93 kg\n Factor of Safety: 1.27\n Max Deflection: 5.48e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.9301509202273, + "fos_buckling": 1.2697052318987083, + "fos_yielding": 2.3956202866251504, + "deflection": 0.005479262289446182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.261)" + }, + "parent_node_id": "node_1328", + "improvement_over_parent": null + }, + "node_1330": { + "node_id": "node_1330", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 306.62 kg\n Factor of Safety: 1.48\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 306.61852217871586, + "fos_buckling": 1.477708434995671, + "fos_yielding": 2.213148389766865, + "deflection": 0.005142485558021583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_1329", + "improvement_over_parent": null + }, + "node_1331": { + "node_id": "node_1331", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1330", + "improvement_over_parent": null + }, + "node_1332": { + "node_id": "node_1332", + "content": "INITIAL DESIGN (Trace 187)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 170.39 kg\n Factor of Safety: 0.53\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.38717645190854, + "fos_buckling": 0.5349169212919808, + "fos_yielding": 1.012737063012028, + "deflection": 0.011904175812322025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1333": { + "node_id": "node_1333", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n\nPerformance:\n Mass: 173.71 kg\n Factor of Safety: 0.79\n Max Deflection: 9.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.70882677605616, + "fos_buckling": 0.7893082414771877, + "fos_yielding": 1.027646353932194, + "deflection": 0.009109924535506176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001908)" + }, + "parent_node_id": "node_1332", + "improvement_over_parent": null + }, + "node_1334": { + "node_id": "node_1334", + "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n\nPerformance:\n Mass: 178.23 kg\n Factor of Safety: 0.83\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.23020434570563, + "fos_buckling": 0.8267612227566671, + "fos_yielding": 1.0277645291233841, + "deflection": 0.008719873912570914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.297)" + }, + "parent_node_id": "node_1333", + "improvement_over_parent": null + }, + "node_1335": { + "node_id": "node_1335", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 208.10 kg\n Factor of Safety: 0.95\n Max Deflection: 7.48e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.10417765887078, + "fos_buckling": 0.9540020195021586, + "fos_yielding": 1.2015484845459994, + "deflection": 0.007484876201482499, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_1334", + "improvement_over_parent": null + }, + "node_1336": { + "node_id": "node_1336", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 247.93 kg\n Factor of Safety: 1.12\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.93032293048174, + "fos_buckling": 1.1185283500643557, + "fos_yielding": 1.4340633548069595, + "deflection": 0.0063012925463178035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_1335", + "improvement_over_parent": null + }, + "node_1337": { + "node_id": "node_1337", + "content": "MODIFICATION: Increase 10 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0055)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 254.75 kg\n Factor of Safety: 1.12\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.75485588712343, + "fos_buckling": 1.1183688130172864, + "fos_yielding": 1.4338588126217542, + "deflection": 0.006217827838119606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.376)" + }, + "parent_node_id": "node_1336", + "improvement_over_parent": null + }, + "node_1338": { + "node_id": "node_1338", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0067)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 307.26 kg\n Factor of Safety: 1.32\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 307.2559782230505, + "fos_buckling": 1.3216882856219905, + "fos_yielding": 1.7349833809748094, + "deflection": 0.005173206044839442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1337", + "improvement_over_parent": null + }, + "node_1339": { + "node_id": "node_1339", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1338", + "improvement_over_parent": null + }, + "node_1340": { + "node_id": "node_1340", + "content": "INITIAL DESIGN (Trace 188)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0009)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0020)]\n\nPerformance:\n Mass: 115.60 kg\n Factor of Safety: 0.42\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.59804269118752, + "fos_buckling": 0.4156898812999841, + "fos_yielding": 0.892449509375589, + "deflection": 0.013471958087964399, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1341": { + "node_id": "node_1341", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 152.05 kg\n Factor of Safety: 0.53\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.04923460558942, + "fos_buckling": 0.5348400868776737, + "fos_yielding": 1.172786421349316, + "deflection": 0.010269029392457022, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_1340", + "improvement_over_parent": null + }, + "node_1342": { + "node_id": "node_1342", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 170.09 kg\n Factor of Safety: 0.59\n Max Deflection: 9.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.09406974477906, + "fos_buckling": 0.5917133143168796, + "fos_yielding": 1.311373410108602, + "deflection": 0.009191454611468215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_1341", + "improvement_over_parent": null + }, + "node_1343": { + "node_id": "node_1343", + "content": "MODIFICATION: Increase 2 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 172.65 kg\n Factor of Safety: 0.59\n Max Deflection: 9.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.64507430207448, + "fos_buckling": 0.5918274493726777, + "fos_yielding": 1.321253490525429, + "deflection": 0.009111476936928925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.316)" + }, + "parent_node_id": "node_1342", + "improvement_over_parent": null + }, + "node_1344": { + "node_id": "node_1344", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 201.99 kg\n Factor of Safety: 0.68\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.99297542284936, + "fos_buckling": 0.6801554137596395, + "fos_yielding": 1.544814845863173, + "deflection": 0.007803538701420605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_1343", + "improvement_over_parent": null + }, + "node_1345": { + "node_id": "node_1345", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n\nPerformance:\n Mass: 216.49 kg\n Factor of Safety: 1.14\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.49080282168853, + "fos_buckling": 1.1424226772069033, + "fos_yielding": 1.5634978431144784, + "deflection": 0.0071767671876560085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003111)" + }, + "parent_node_id": "node_1344", + "improvement_over_parent": null + }, + "node_1346": { + "node_id": "node_1346", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 246.47 kg\n Factor of Safety: 1.28\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.4721074670933, + "fos_buckling": 1.276156167844386, + "fos_yielding": 1.7788057203927161, + "deflection": 0.006318222949023946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_1345", + "improvement_over_parent": null + }, + "node_1347": { + "node_id": "node_1347", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2661003714691, + "fos_buckling": 1.5134783481543783, + "fos_yielding": 2.185860143443261, + "deflection": 0.005157228476337045, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_1346", + "improvement_over_parent": null + }, + "node_1348": { + "node_id": "node_1348", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1347", + "improvement_over_parent": null + }, + "node_1349": { + "node_id": "node_1349", + "content": "INITIAL DESIGN (Trace 189)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 230.77 kg\n Factor of Safety: 0.78\n Max Deflection: 6.83e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.77412088061286, + "fos_buckling": 0.7801923850106706, + "fos_yielding": 1.533179194527249, + "deflection": 0.006834148802316815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1350": { + "node_id": "node_1350", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n\nPerformance:\n Mass: 247.77 kg\n Factor of Safety: 1.09\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.7693552095658, + "fos_buckling": 1.092464100352031, + "fos_yielding": 1.5492057199479488, + "deflection": 0.006307217049969485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003689)" + }, + "parent_node_id": "node_1349", + "improvement_over_parent": null + }, + "node_1351": { + "node_id": "node_1351", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 296.37 kg\n Factor of Safety: 1.28\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.36724125626137, + "fos_buckling": 1.2829462431180203, + "fos_yielding": 1.8579809243437855, + "deflection": 0.005291972605884694, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1350", + "improvement_over_parent": null + }, + "node_1352": { + "node_id": "node_1352", + "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 301.03 kg\n Factor of Safety: 1.28\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.02610826103233, + "fos_buckling": 1.2830518110407882, + "fos_yielding": 1.8581338093050825, + "deflection": 0.00522645844739269, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.379)" + }, + "parent_node_id": "node_1351", + "improvement_over_parent": null + }, + "node_1353": { + "node_id": "node_1353", + "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.54808172866115, + "fos_buckling": 1.514644849954645, + "fos_yielding": 2.1878249897122695, + "deflection": 0.00515253261441559, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.395)" + }, + "parent_node_id": "node_1352", + "improvement_over_parent": null + }, + "node_1354": { + "node_id": "node_1354", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1353", + "improvement_over_parent": null + }, + "node_1355": { + "node_id": "node_1355", + "content": "INITIAL DESIGN (Trace 190)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0017)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 124.83 kg\n Factor of Safety: 0.54\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.83163399414283, + "fos_buckling": 0.5397805929327115, + "fos_yielding": 0.9547911596237673, + "deflection": 0.01274155271341911, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1356": { + "node_id": "node_1356", + "content": "MODIFICATION: Increase 3 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0017)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 127.05 kg\n Factor of Safety: 0.56\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.04698273015735, + "fos_buckling": 0.5627618741741626, + "fos_yielding": 0.9546683309669483, + "deflection": 0.012495675219634562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.439)" + }, + "parent_node_id": "node_1355", + "improvement_over_parent": null + }, + "node_1357": { + "node_id": "node_1357", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 162.12 kg\n Factor of Safety: 0.71\n Max Deflection: 9.81e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.1243605388728, + "fos_buckling": 0.708460668766007, + "fos_yielding": 1.2168985264782215, + "deflection": 0.009814885993128075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_1356", + "improvement_over_parent": null + }, + "node_1358": { + "node_id": "node_1358", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 199.16 kg\n Factor of Safety: 0.86\n Max Deflection: 8.01e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.16098032407297, + "fos_buckling": 0.85775234851047, + "fos_yielding": 1.4931242793757995, + "deflection": 0.008009144484526335, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_1357", + "improvement_over_parent": null + }, + "node_1359": { + "node_id": "node_1359", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 227.46 kg\n Factor of Safety: 0.97\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.45863472228407, + "fos_buckling": 0.9686696649139934, + "fos_yielding": 1.7037154612685974, + "deflection": 0.007025689424692875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_1358", + "improvement_over_parent": null + }, + "node_1360": { + "node_id": "node_1360", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 292.71 kg\n Factor of Safety: 1.21\n Max Deflection: 5.48e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.7053150917424, + "fos_buckling": 1.2140039948712114, + "fos_yielding": 2.1877351906898896, + "deflection": 0.005482578892259044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_1359", + "improvement_over_parent": null + }, + "node_1361": { + "node_id": "node_1361", + "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.55369312699213, + "fos_buckling": 1.5143340725705627, + "fos_yielding": 2.1880138984752744, + "deflection": 0.00515253600000788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.466)" + }, + "parent_node_id": "node_1360", + "improvement_over_parent": null + }, + "node_1362": { + "node_id": "node_1362", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1361", + "improvement_over_parent": null + }, + "node_1363": { + "node_id": "node_1363", + "content": "INITIAL DESIGN (Trace 191)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 210.42 kg\n Factor of Safety: 0.46\n Max Deflection: 8.18e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.42381261930956, + "fos_buckling": 0.4581257700258892, + "fos_yielding": 1.4732878429375862, + "deflection": 0.00818041318663385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1364": { + "node_id": "node_1364", + "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 212.70 kg\n Factor of Safety: 0.46\n Max Deflection: 8.07e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.70407868181357, + "fos_buckling": 0.45812577002588933, + "fos_yielding": 1.531178020784113, + "deflection": 0.00807353302219845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.439)" + }, + "parent_node_id": "node_1363", + "improvement_over_parent": null + }, + "node_1365": { + "node_id": "node_1365", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 234.02 kg\n Factor of Safety: 0.77\n Max Deflection: 6.75e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.02336422651445, + "fos_buckling": 0.7724704229725492, + "fos_yielding": 1.7884181498125453, + "deflection": 0.006750492430413253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004103)" + }, + "parent_node_id": "node_1364", + "improvement_over_parent": null + }, + "node_1366": { + "node_id": "node_1366", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.04 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.0385810979863, + "fos_buckling": 0.9055707308320001, + "fos_yielding": 2.1605742733138253, + "deflection": 0.005600406798017358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_1365", + "improvement_over_parent": null + }, + "node_1367": { + "node_id": "node_1367", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.35191598001313, + "fos_buckling": 1.5138502784594265, + "fos_yielding": 2.1864255736439238, + "deflection": 0.005155804656990385, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_1366", + "improvement_over_parent": null + }, + "node_1368": { + "node_id": "node_1368", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1367", + "improvement_over_parent": null + }, + "node_1369": { + "node_id": "node_1369", + "content": "INITIAL DESIGN (Trace 192)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 226.84 kg\n Factor of Safety: 0.91\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.84146861859682, + "fos_buckling": 0.9067006120836303, + "fos_yielding": 1.7469607481382763, + "deflection": 0.007503405412917442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1370": { + "node_id": "node_1370", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 284.11 kg\n Factor of Safety: 1.09\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 284.10993806017945, + "fos_buckling": 1.091077721919215, + "fos_yielding": 2.184881950737056, + "deflection": 0.006018488859676096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_1369", + "improvement_over_parent": null + }, + "node_1371": { + "node_id": "node_1371", + "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 285.57 kg\n Factor of Safety: 1.09\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.5738591869779, + "fos_buckling": 1.0908408544457746, + "fos_yielding": 2.1856699816114755, + "deflection": 0.006007107070964423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.391)" + }, + "parent_node_id": "node_1370", + "improvement_over_parent": null + }, + "node_1372": { + "node_id": "node_1372", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 302.69 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 302.6918144185524, + "fos_buckling": 1.5133633094194452, + "fos_yielding": 2.1823240261913845, + "deflection": 0.0051592803307401874, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_1371", + "improvement_over_parent": null + }, + "node_1373": { + "node_id": "node_1373", + "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0064)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 306.38 kg\n Factor of Safety: 1.50\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 306.3815925977783, + "fos_buckling": 1.4975167721003, + "fos_yielding": 2.4836319485914164, + "deflection": 0.005120047756952099, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.399)" + }, + "parent_node_id": "node_1372", + "improvement_over_parent": null + }, + "node_1374": { + "node_id": "node_1374", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1373", + "improvement_over_parent": null + }, + "node_1375": { + "node_id": "node_1375", + "content": "INITIAL DESIGN (Trace 193)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n Mass: 185.73 kg\n Factor of Safety: 1.48\n Max Deflection: 6.33e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.7308872398257, + "fos_buckling": 1.4794901645253282, + "fos_yielding": 1.9513468504474256, + "deflection": 6328591859062.713, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1376": { + "node_id": "node_1376", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 200.41 kg\n Factor of Safety: 0.45\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.41131050455607, + "fos_buckling": 0.4518459689973994, + "fos_yielding": 1.507946960941781, + "deflection": 0.011617115189357785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003375)" + }, + "parent_node_id": "node_1375", + "improvement_over_parent": null + }, + "node_1377": { + "node_id": "node_1377", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 202.69 kg\n Factor of Safety: 0.45\n Max Deflection: 8.90e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.69415571140507, + "fos_buckling": 0.4515425781408697, + "fos_yielding": 1.5077175153259266, + "deflection": 0.00890233957023311, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001886)" + }, + "parent_node_id": "node_1376", + "improvement_over_parent": null + }, + "node_1378": { + "node_id": "node_1378", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n\nPerformance:\n Mass: 222.52 kg\n Factor of Safety: 0.45\n Max Deflection: 8.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.51545313365418, + "fos_buckling": 0.4508854139587722, + "fos_yielding": 1.507219702728105, + "deflection": 0.008233051753926432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003922)" + }, + "parent_node_id": "node_1377", + "improvement_over_parent": null + }, + "node_1379": { + "node_id": "node_1379", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 243.52 kg\n Factor of Safety: 1.24\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.5163153007967, + "fos_buckling": 1.2391185507896822, + "fos_yielding": 1.7831481243325964, + "deflection": 0.006379497651145855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004037)" + }, + "parent_node_id": "node_1378", + "improvement_over_parent": null + }, + "node_1380": { + "node_id": "node_1380", + "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 247.04 kg\n Factor of Safety: 1.28\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.03930848371658, + "fos_buckling": 1.2785980466480311, + "fos_yielding": 1.7829518466484275, + "deflection": 0.006303894763454841, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.364)" + }, + "parent_node_id": "node_1379", + "improvement_over_parent": null + }, + "node_1381": { + "node_id": "node_1381", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.287612759704, + "fos_buckling": 1.5135258443751516, + "fos_yielding": 2.1861050996284845, + "deflection": 0.005156795236860008, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_1380", + "improvement_over_parent": null + }, + "node_1382": { + "node_id": "node_1382", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1381", + "improvement_over_parent": null + }, + "node_1383": { + "node_id": "node_1383", + "content": "INITIAL DESIGN (Trace 194)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 182.01 kg\n Factor of Safety: 0.73\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.0063095749536, + "fos_buckling": 0.7296226570326462, + "fos_yielding": 1.5004568706398675, + "deflection": 0.008831828350955412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1384": { + "node_id": "node_1384", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n\nPerformance:\n Mass: 189.95 kg\n Factor of Safety: 1.02\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.95116768213745, + "fos_buckling": 1.0191275418633632, + "fos_yielding": 1.3726609541972323, + "deflection": 0.008162883004666206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002298)" + }, + "parent_node_id": "node_1383", + "improvement_over_parent": null + }, + "node_1385": { + "node_id": "node_1385", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n\nPerformance:\n Mass: 239.53 kg\n Factor of Safety: 1.25\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.52733811583985, + "fos_buckling": 1.2456949982870669, + "fos_yielding": 1.7289600796663767, + "deflection": 0.006497957316585635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_1384", + "improvement_over_parent": null + }, + "node_1386": { + "node_id": "node_1386", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.24 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2431170132482, + "fos_buckling": 1.5133806283159146, + "fos_yielding": 2.185697489090183, + "deflection": 0.00515760214131148, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_1385", + "improvement_over_parent": null + }, + "node_1387": { + "node_id": "node_1387", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1386", + "improvement_over_parent": null + }, + "node_1388": { + "node_id": "node_1388", + "content": "INITIAL DESIGN (Trace 195)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 193.08 kg\n Factor of Safety: 0.69\n Max Deflection: 9.31e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.07960962354906, + "fos_buckling": 0.6886228883615454, + "fos_yielding": 1.2087974033670683, + "deflection": 0.00930751157459644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1389": { + "node_id": "node_1389", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 223.08 kg\n Factor of Safety: 0.78\n Max Deflection: 8.07e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.08172158967133, + "fos_buckling": 0.782283396782467, + "fos_yielding": 1.3988549358992344, + "deflection": 0.0080710808946092, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_1388", + "improvement_over_parent": null + }, + "node_1390": { + "node_id": "node_1390", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 0.93\n Max Deflection: 7.40e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.65257104681513, + "fos_buckling": 0.9269140629210935, + "fos_yielding": 1.4150866965657827, + "deflection": 0.007402601311171606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002680)" + }, + "parent_node_id": "node_1389", + "improvement_over_parent": null + }, + "node_1391": { + "node_id": "node_1391", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 241.69 kg\n Factor of Safety: 1.11\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.69185951207984, + "fos_buckling": 1.1056018297312917, + "fos_yielding": 1.4135776608244388, + "deflection": 0.0063724616769529905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003559)" + }, + "parent_node_id": "node_1390", + "improvement_over_parent": null + }, + "node_1392": { + "node_id": "node_1392", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 294.85 kg\n Factor of Safety: 1.32\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.8527933369032, + "fos_buckling": 1.319851803523479, + "fos_yielding": 1.7291694155488864, + "deflection": 0.005245648706701735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_1391", + "improvement_over_parent": null + }, + "node_1393": { + "node_id": "node_1393", + "content": "MODIFICATION: Increase 14 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0052)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 297.55 kg\n Factor of Safety: 1.32\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.5540437139834, + "fos_buckling": 1.320502017807622, + "fos_yielding": 1.7300212768341396, + "deflection": 0.0051834726911752695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.565)" + }, + "parent_node_id": "node_1392", + "improvement_over_parent": null + }, + "node_1394": { + "node_id": "node_1394", + "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0065)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0052)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 304.37 kg\n Factor of Safety: 1.32\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 304.366108363507, + "fos_buckling": 1.3203745585916538, + "fos_yielding": 1.7298542894667746, + "deflection": 0.0051222000222857795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.318)" + }, + "parent_node_id": "node_1393", + "improvement_over_parent": null + }, + "node_1395": { + "node_id": "node_1395", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1394", + "improvement_over_parent": null + }, + "node_1396": { + "node_id": "node_1396", + "content": "INITIAL DESIGN (Trace 196)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 174.31 kg\n Factor of Safety: 0.34\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.3106492623912, + "fos_buckling": 0.3413446631135852, + "fos_yielding": 1.001105760616059, + "deflection": 0.017659566536492043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1397": { + "node_id": "node_1397", + "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 176.05 kg\n Factor of Safety: 0.34\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.0501693491606, + "fos_buckling": 0.3413446631135852, + "fos_yielding": 1.001105760616059, + "deflection": 0.017659566536492043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.359)" + }, + "parent_node_id": "node_1396", + "improvement_over_parent": null + }, + "node_1398": { + "node_id": "node_1398", + "content": "MODIFICATION: Increase 12 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 180.48 kg\n Factor of Safety: 0.34\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.4811659501716, + "fos_buckling": 0.34128810577267815, + "fos_yielding": 1.0397714196298145, + "deflection": 0.017513610307208785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.546)" + }, + "parent_node_id": "node_1397", + "improvement_over_parent": null + }, + "node_1399": { + "node_id": "node_1399", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n\nPerformance:\n Mass: 198.13 kg\n Factor of Safety: 0.34\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.13375686024702, + "fos_buckling": 0.34083813833632504, + "fos_yielding": 1.0384986483211007, + "deflection": 0.015406789757718614, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003464)" + }, + "parent_node_id": "node_1398", + "improvement_over_parent": null + }, + "node_1400": { + "node_id": "node_1400", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n\nPerformance:\n Mass: 237.00 kg\n Factor of Safety: 0.40\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.99927882525958, + "fos_buckling": 0.3965928734878982, + "fos_yielding": 1.2375422731301957, + "deflection": 0.012918603619604611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1399", + "improvement_over_parent": null + }, + "node_1401": { + "node_id": "node_1401", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 273.29 kg\n Factor of Safety: 0.45\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.29398518434533, + "fos_buckling": 0.445437553850664, + "fos_yielding": 1.422055747008833, + "deflection": 0.011233729123114716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1400", + "improvement_over_parent": null + }, + "node_1402": { + "node_id": "node_1402", + "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 277.31 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.31084559577596, + "fos_buckling": 0.44523823270515084, + "fos_yielding": 1.420876588208059, + "deflection": 0.010715284576044551, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.190)" + }, + "parent_node_id": "node_1401", + "improvement_over_parent": null + }, + "node_1403": { + "node_id": "node_1403", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3986378785521, + "fos_buckling": 1.5139947480921139, + "fos_yielding": 2.186857531553237, + "deflection": 0.0051549722890919455, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_1402", + "improvement_over_parent": null + }, + "node_1404": { + "node_id": "node_1404", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1403", + "improvement_over_parent": null + }, + "node_1405": { + "node_id": "node_1405", + "content": "INITIAL DESIGN (Trace 197)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 268.96 kg\n Factor of Safety: 1.02\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 268.95536745333675, + "fos_buckling": 1.015726803593001, + "fos_yielding": 1.9037508937037573, + "deflection": 0.005919371651704435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1406": { + "node_id": "node_1406", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 271.48 kg\n Factor of Safety: 1.17\n Max Deflection: 5.81e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 271.481071231226, + "fos_buckling": 1.168927520831173, + "fos_yielding": 1.9692709377572075, + "deflection": 0.005814352141127241, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002104)" + }, + "parent_node_id": "node_1405", + "improvement_over_parent": null + }, + "node_1407": { + "node_id": "node_1407", + "content": "MODIFICATION: Increase 7 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 273.26 kg\n Factor of Safety: 1.39\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.2622381936175, + "fos_buckling": 1.390668706022118, + "fos_yielding": 1.9709797534843785, + "deflection": 0.005710497145624954, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.597)" + }, + "parent_node_id": "node_1406", + "improvement_over_parent": null + }, + "node_1408": { + "node_id": "node_1408", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.35104348142005, + "fos_buckling": 1.5137788928996494, + "fos_yielding": 2.186503573259015, + "deflection": 0.005155865769436253, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_1407", + "improvement_over_parent": null + }, + "node_1409": { + "node_id": "node_1409", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1408", + "improvement_over_parent": null + }, + "node_1410": { + "node_id": "node_1410", + "content": "INITIAL DESIGN (Trace 198)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 201.91 kg\n Factor of Safety: 0.34\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.91438038418042, + "fos_buckling": 0.3418719429006206, + "fos_yielding": 1.041852531341639, + "deflection": 0.01461601794312192, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1411": { + "node_id": "node_1411", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 229.09 kg\n Factor of Safety: 0.38\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.08593207969605, + "fos_buckling": 0.3806186829199695, + "fos_yielding": 1.1790555459175556, + "deflection": 0.012914335545219875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_1410", + "improvement_over_parent": null + }, + "node_1412": { + "node_id": "node_1412", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n\nPerformance:\n Mass: 250.65 kg\n Factor of Safety: 1.29\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.65373055547812, + "fos_buckling": 1.2942415723156475, + "fos_yielding": 1.8086897486919125, + "deflection": 0.006214495510844875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004432)" + }, + "parent_node_id": "node_1411", + "improvement_over_parent": null + }, + "node_1413": { + "node_id": "node_1413", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.16 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.15596395179995, + "fos_buckling": 1.5129262601308022, + "fos_yielding": 2.1849267753803354, + "deflection": 0.005158811585449622, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_1412", + "improvement_over_parent": null + }, + "node_1414": { + "node_id": "node_1414", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1413", + "improvement_over_parent": null + }, + "node_1415": { + "node_id": "node_1415", + "content": "INITIAL DESIGN (Trace 199)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 215.07 kg\n Factor of Safety: 0.79\n Max Deflection: 8.60e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.06712169837513, + "fos_buckling": 0.7855074967466176, + "fos_yielding": 1.7717340185199448, + "deflection": 0.008596049845290055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1416": { + "node_id": "node_1416", + "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 220.57 kg\n Factor of Safety: 0.79\n Max Deflection: 8.60e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.5743062777996, + "fos_buckling": 0.786173432008323, + "fos_yielding": 1.7717003336700536, + "deflection": 0.008597327763252874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.406)" + }, + "parent_node_id": "node_1415", + "improvement_over_parent": null + }, + "node_1417": { + "node_id": "node_1417", + "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 225.36 kg\n Factor of Safety: 0.79\n Max Deflection: 8.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.35873682273171, + "fos_buckling": 0.7864630533950424, + "fos_yielding": 1.7877448907713978, + "deflection": 0.00852690393056008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.312)" + }, + "parent_node_id": "node_1416", + "improvement_over_parent": null + }, + "node_1418": { + "node_id": "node_1418", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 229.96 kg\n Factor of Safety: 0.93\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.96280419592597, + "fos_buckling": 0.9331543245869419, + "fos_yielding": 1.814824500992669, + "deflection": 0.007608778027999728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002701)" + }, + "parent_node_id": "node_1417", + "improvement_over_parent": null + }, + "node_1419": { + "node_id": "node_1419", + "content": "MODIFICATION: Increase 1 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 236.46 kg\n Factor of Safety: 0.93\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.4619181965004, + "fos_buckling": 0.9324773603545956, + "fos_yielding": 1.8105267695232645, + "deflection": 0.007241189318110521, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.437)" + }, + "parent_node_id": "node_1418", + "improvement_over_parent": null + }, + "node_1420": { + "node_id": "node_1420", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 250.60 kg\n Factor of Safety: 1.29\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.59998892024467, + "fos_buckling": 1.2941015846185229, + "fos_yielding": 1.8083284587671509, + "deflection": 0.006215888918838891, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003586)" + }, + "parent_node_id": "node_1419", + "improvement_over_parent": null + }, + "node_1421": { + "node_id": "node_1421", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.54 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5402432811133, + "fos_buckling": 1.5145667557590272, + "fos_yielding": 2.187706003143265, + "deflection": 0.005152501495137295, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_1420", + "improvement_over_parent": null + }, + "node_1422": { + "node_id": "node_1422", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1421", + "improvement_over_parent": null + }, + "node_1423": { + "node_id": "node_1423", + "content": "INITIAL DESIGN (Trace 200)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0010)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 132.86 kg\n Factor of Safety: 0.27\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.8562625106357, + "fos_buckling": 0.26719093133569566, + "fos_yielding": 0.6158965867407772, + "deflection": 0.019833561896352325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1424": { + "node_id": "node_1424", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0012)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 159.99 kg\n Factor of Safety: 0.32\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.98563575351503, + "fos_buckling": 0.3191747782466192, + "fos_yielding": 0.7435018046300307, + "deflection": 0.016493303630813597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1423", + "improvement_over_parent": null + }, + "node_1425": { + "node_id": "node_1425", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 179.44 kg\n Factor of Safety: 0.36\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.44294675101267, + "fos_buckling": 0.3556820913341297, + "fos_yielding": 0.8354637915871962, + "deflection": 0.014719480718990359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_1424", + "improvement_over_parent": null + }, + "node_1426": { + "node_id": "node_1426", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n\nPerformance:\n Mass: 204.06 kg\n Factor of Safety: 0.88\n Max Deflection: 7.70e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.05992781731163, + "fos_buckling": 0.8818730837924522, + "fos_yielding": 1.483012350138964, + "deflection": 0.0077044419010449195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003934)" + }, + "parent_node_id": "node_1425", + "improvement_over_parent": null + }, + "node_1427": { + "node_id": "node_1427", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n\nPerformance:\n Mass: 264.21 kg\n Factor of Safety: 1.13\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.2075193988593, + "fos_buckling": 1.1252902475060846, + "fos_yielding": 1.9173653919429143, + "deflection": 0.005975500109664204, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_1426", + "improvement_over_parent": null + }, + "node_1428": { + "node_id": "node_1428", + "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n\nPerformance:\n Mass: 266.00 kg\n Factor of Safety: 1.36\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.0047553232904, + "fos_buckling": 1.359471333012894, + "fos_yielding": 1.919118299826222, + "deflection": 0.005863199300086134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.629)" + }, + "parent_node_id": "node_1427", + "improvement_over_parent": null + }, + "node_1429": { + "node_id": "node_1429", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.53074177807446, + "fos_buckling": 1.5138365142345218, + "fos_yielding": 2.1879781787904355, + "deflection": 0.005153007095551436, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_1428", + "improvement_over_parent": null + }, + "node_1430": { + "node_id": "node_1430", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1429", + "improvement_over_parent": null + }, + "node_1431": { + "node_id": "node_1431", + "content": "INITIAL DESIGN (Trace 201)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 173.94 kg\n Factor of Safety: 0.12\n Max Deflection: 3.04e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.93817870658006, + "fos_buckling": 0.11781900680122093, + "fos_yielding": 0.6902185415234664, + "deflection": 30370469377539.6, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1432": { + "node_id": "node_1432", + "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 176.12 kg\n Factor of Safety: 0.03\n Max Deflection: 1.04e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.12313764745102, + "fos_buckling": 0.02945475170030523, + "fos_yielding": 0.1725546353808666, + "deflection": 103993411007770.98, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.190)" + }, + "parent_node_id": "node_1431", + "improvement_over_parent": null + }, + "node_1433": { + "node_id": "node_1433", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 206.33 kg\n Factor of Safety: 0.03\n Max Deflection: 8.49e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.3256373390148, + "fos_buckling": 0.028698616556784483, + "fos_yielding": 0.14860709519394188, + "deflection": 84922427347646.12, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_1432", + "improvement_over_parent": null + }, + "node_1434": { + "node_id": "node_1434", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 232.12 kg\n Factor of Safety: 0.40\n Max Deflection: 1.02e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.11626488142875, + "fos_buckling": 0.40033469974230135, + "fos_yielding": 1.188856761551535, + "deflection": 10184229272861.537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_1433", + "improvement_over_parent": null + }, + "node_1435": { + "node_id": "node_1435", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 256.46 kg\n Factor of Safety: 0.30\n Max Deflection: 2.38e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.4573928868057, + "fos_buckling": 0.3011362965680588, + "fos_yielding": 0.9245177921640978, + "deflection": 0.023755462833025563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_1434", + "improvement_over_parent": null + }, + "node_1436": { + "node_id": "node_1436", + "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 261.41 kg\n Factor of Safety: 0.30\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.40576079169455, + "fos_buckling": 0.301136296568059, + "fos_yielding": 0.9149363364830628, + "deflection": 0.023734950651842293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.412)" + }, + "parent_node_id": "node_1435", + "improvement_over_parent": null + }, + "node_1437": { + "node_id": "node_1437", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 297.79 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.78815824717367, + "fos_buckling": 0.8893019818612293, + "fos_yielding": 2.1587835797707213, + "deflection": 0.00651934144654717, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_1436", + "improvement_over_parent": null + }, + "node_1438": { + "node_id": "node_1438", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3623579121499, + "fos_buckling": 1.5140391707607825, + "fos_yielding": 2.1865034660901257, + "deflection": 0.005155527555270011, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1437", + "improvement_over_parent": null + }, + "node_1439": { + "node_id": "node_1439", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1438", + "improvement_over_parent": null + }, + "node_1440": { + "node_id": "node_1440", + "content": "INITIAL DESIGN (Trace 202)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 174.56 kg\n Factor of Safety: 0.72\n Max Deflection: 9.76e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.5596608957115, + "fos_buckling": 0.7176924293899148, + "fos_yielding": 1.3385989704468864, + "deflection": 0.009760479707119213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1441": { + "node_id": "node_1441", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 203.75 kg\n Factor of Safety: 0.82\n Max Deflection: 8.38e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.74640262070926, + "fos_buckling": 0.8215337565102564, + "fos_yielding": 1.5613386368452915, + "deflection": 0.008381902014842221, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_1440", + "improvement_over_parent": null + }, + "node_1442": { + "node_id": "node_1442", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 233.84 kg\n Factor of Safety: 0.92\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.84334475971716, + "fos_buckling": 0.9238486058121178, + "fos_yielding": 1.790703200797467, + "deflection": 0.007320727331972744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_1441", + "improvement_over_parent": null + }, + "node_1443": { + "node_id": "node_1443", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n\nPerformance:\n Mass: 247.82 kg\n Factor of Safety: 1.28\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.81671375624927, + "fos_buckling": 1.2819761323640937, + "fos_yielding": 1.7885321671480943, + "deflection": 0.006284493717523026, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003541)" + }, + "parent_node_id": "node_1442", + "improvement_over_parent": null + }, + "node_1444": { + "node_id": "node_1444", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.56 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.55823305710794, + "fos_buckling": 1.514596472908305, + "fos_yielding": 2.18804365524178, + "deflection": 0.005152305277243498, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_1443", + "improvement_over_parent": null + }, + "node_1445": { + "node_id": "node_1445", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1444", + "improvement_over_parent": null + }, + "node_1446": { + "node_id": "node_1446", + "content": "INITIAL DESIGN (Trace 203)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 165.19 kg\n Factor of Safety: 0.39\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.19089937279645, + "fos_buckling": 0.3876120245971334, + "fos_yielding": 1.2591616162625598, + "deflection": 0.010698571124954521, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1447": { + "node_id": "node_1447", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 215.33 kg\n Factor of Safety: 0.48\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.33157965626623, + "fos_buckling": 0.4838069841359672, + "fos_yielding": 1.6369926881786854, + "deflection": 0.008248604184674609, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1446", + "improvement_over_parent": null + }, + "node_1448": { + "node_id": "node_1448", + "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 218.77 kg\n Factor of Safety: 0.48\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.76777986336248, + "fos_buckling": 0.48368493957690567, + "fos_yielding": 1.6368990055740609, + "deflection": 0.008250614586819522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.318)" + }, + "parent_node_id": "node_1447", + "improvement_over_parent": null + }, + "node_1449": { + "node_id": "node_1449", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n\nPerformance:\n Mass: 234.30 kg\n Factor of Safety: 0.48\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.29568560031652, + "fos_buckling": 0.4831341972003468, + "fos_yielding": 1.6364757952733664, + "deflection": 0.007513500359154867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003023)" + }, + "parent_node_id": "node_1448", + "improvement_over_parent": null + }, + "node_1450": { + "node_id": "node_1450", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 257.11 kg\n Factor of Safety: 1.32\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.1141555260103, + "fos_buckling": 1.3220147754515856, + "fos_yielding": 1.9336504622354793, + "deflection": 0.005962695296156152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004416)" + }, + "parent_node_id": "node_1449", + "improvement_over_parent": null + }, + "node_1451": { + "node_id": "node_1451", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 290.69 kg\n Factor of Safety: 1.46\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.6933717065451, + "fos_buckling": 1.4611325655896732, + "fos_yielding": 2.183655468045357, + "deflection": 0.005287823604557718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_1450", + "improvement_over_parent": null + }, + "node_1452": { + "node_id": "node_1452", + "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.71 kg\n Factor of Safety: 1.46\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.7061717010985, + "fos_buckling": 1.4626813844101638, + "fos_yielding": 2.1804257972316257, + "deflection": 0.005213947240321282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.447)" + }, + "parent_node_id": "node_1451", + "improvement_over_parent": null + }, + "node_1453": { + "node_id": "node_1453", + "content": "MODIFICATION: Increase 11 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 305.21 kg\n Factor of Safety: 1.46\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.21382640837936, + "fos_buckling": 1.4590579799494918, + "fos_yielding": 2.1828651030384667, + "deflection": 0.005179328592399808, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.418)" + }, + "parent_node_id": "node_1452", + "improvement_over_parent": null + }, + "node_1454": { + "node_id": "node_1454", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1453", + "improvement_over_parent": null + }, + "node_1455": { + "node_id": "node_1455", + "content": "INITIAL DESIGN (Trace 204)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 230.35 kg\n Factor of Safety: 0.92\n Max Deflection: 7.47e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.35347940980103, + "fos_buckling": 0.917833424725081, + "fos_yielding": 1.914703869172369, + "deflection": 0.00747159347045352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1456": { + "node_id": "node_1456", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 250.32 kg\n Factor of Safety: 1.03\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.31948602515158, + "fos_buckling": 1.026446837804496, + "fos_yielding": 1.881594081508807, + "deflection": 0.0064280076584732415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004062)" + }, + "parent_node_id": "node_1455", + "improvement_over_parent": null + }, + "node_1457": { + "node_id": "node_1457", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 291.23 kg\n Factor of Safety: 1.18\n Max Deflection: 5.54e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.23330002730455, + "fos_buckling": 1.175803596235543, + "fos_yielding": 2.186122099974634, + "deflection": 0.0055389924538383995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_1456", + "improvement_over_parent": null + }, + "node_1458": { + "node_id": "node_1458", + "content": "MODIFICATION: Increase 10 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.35614990769636, + "fos_buckling": 1.5140413321551183, + "fos_yielding": 2.1864535393739177, + "deflection": 0.005155652441401567, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.548)" + }, + "parent_node_id": "node_1457", + "improvement_over_parent": null + }, + "node_1459": { + "node_id": "node_1459", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1458", + "improvement_over_parent": null + }, + "node_1460": { + "node_id": "node_1460", + "content": "INITIAL DESIGN (Trace 205)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 236.02 kg\n Factor of Safety: 0.39\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.01786884169056, + "fos_buckling": 0.39370916395058997, + "fos_yielding": 1.2029091800397231, + "deflection": 0.012476663769096443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1461": { + "node_id": "node_1461", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 274.51 kg\n Factor of Safety: 0.45\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.51051849745056, + "fos_buckling": 0.44536979201644233, + "fos_yielding": 1.3942093123678891, + "deflection": 0.010765430358342105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_1460", + "improvement_over_parent": null + }, + "node_1462": { + "node_id": "node_1462", + "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 277.38 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.38227104989994, + "fos_buckling": 0.4453222996096765, + "fos_yielding": 1.4212157089354325, + "deflection": 0.010712575760975947, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.321)" + }, + "parent_node_id": "node_1461", + "improvement_over_parent": null + }, + "node_1463": { + "node_id": "node_1463", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.47 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4700633326761, + "fos_buckling": 1.5143098317854495, + "fos_yielding": 2.187361486332096, + "deflection": 0.005153856552834188, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_1462", + "improvement_over_parent": null + }, + "node_1464": { + "node_id": "node_1464", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1463", + "improvement_over_parent": null + }, + "node_1465": { + "node_id": "node_1465", + "content": "INITIAL DESIGN (Trace 206)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 176.11 kg\n Factor of Safety: 0.38\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.11327948435758, + "fos_buckling": 0.37501521389063514, + "fos_yielding": 1.214136505221993, + "deflection": 0.010149952672982535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1466": { + "node_id": "node_1466", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 193.00 kg\n Factor of Safety: 0.90\n Max Deflection: 8.07e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.00143054875127, + "fos_buckling": 0.8979084341937119, + "fos_yielding": 1.4342246850517393, + "deflection": 0.00807235895825958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003199)" + }, + "parent_node_id": "node_1465", + "improvement_over_parent": null + }, + "node_1467": { + "node_id": "node_1467", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 237.08 kg\n Factor of Safety: 1.09\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.07825034887324, + "fos_buckling": 1.0902654518175143, + "fos_yielding": 1.75944536556373, + "deflection": 0.006592609467782552, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_1466", + "improvement_over_parent": null + }, + "node_1468": { + "node_id": "node_1468", + "content": "MODIFICATION: Increase 11 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 242.30 kg\n Factor of Safety: 1.04\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.30172933170653, + "fos_buckling": 1.037837596721706, + "fos_yielding": 1.7591196190832246, + "deflection": 0.006505503344286353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.391)" + }, + "parent_node_id": "node_1467", + "improvement_over_parent": null + }, + "node_1469": { + "node_id": "node_1469", + "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 243.96 kg\n Factor of Safety: 1.27\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.95810028654475, + "fos_buckling": 1.2651743461515594, + "fos_yielding": 1.7607442313010075, + "deflection": 0.006382080916080974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.629)" + }, + "parent_node_id": "node_1468", + "improvement_over_parent": null + }, + "node_1470": { + "node_id": "node_1470", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.07 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.06994619968754, + "fos_buckling": 1.512703923525428, + "fos_yielding": 2.1844335291787815, + "deflection": 0.005160467459225088, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_1469", + "improvement_over_parent": null + }, + "node_1471": { + "node_id": "node_1471", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1470", + "improvement_over_parent": null + }, + "node_1472": { + "node_id": "node_1472", + "content": "INITIAL DESIGN (Trace 207)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 193.85 kg\n Factor of Safety: 0.72\n Max Deflection: 1.09e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.85011924901133, + "fos_buckling": 0.7161474082784415, + "fos_yielding": 1.5152743364389276, + "deflection": 10922363197117.992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1473": { + "node_id": "node_1473", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 213.95 kg\n Factor of Safety: 0.22\n Max Deflection: 3.14e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.94929395031528, + "fos_buckling": 0.21891026861048135, + "fos_yielding": 1.1795684835725377, + "deflection": 0.031407297784898355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003851)" + }, + "parent_node_id": "node_1472", + "improvement_over_parent": null + }, + "node_1474": { + "node_id": "node_1474", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 216.14 kg\n Factor of Safety: 0.36\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.13513488402245, + "fos_buckling": 0.3623631475205791, + "fos_yielding": 1.1138984774026315, + "deflection": 0.01367187139964363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001800)" + }, + "parent_node_id": "node_1473", + "improvement_over_parent": null + }, + "node_1475": { + "node_id": "node_1475", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 245.83 kg\n Factor of Safety: 0.40\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.8271230396922, + "fos_buckling": 0.4036500348199676, + "fos_yielding": 1.2634135189589981, + "deflection": 0.012053017113862629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_1474", + "improvement_over_parent": null + }, + "node_1476": { + "node_id": "node_1476", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 268.96 kg\n Factor of Safety: 1.37\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 268.96015351405936, + "fos_buckling": 1.3725752719336648, + "fos_yielding": 1.9400542330792705, + "deflection": 0.005799735439688519, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004781)" + }, + "parent_node_id": "node_1475", + "improvement_over_parent": null + }, + "node_1477": { + "node_id": "node_1477", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.23168927204597, + "fos_buckling": 1.5132892950450094, + "fos_yielding": 2.185553695375656, + "deflection": 0.0051576711418404525, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_1476", + "improvement_over_parent": null + }, + "node_1478": { + "node_id": "node_1478", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1477", + "improvement_over_parent": null + }, + "node_1479": { + "node_id": "node_1479", + "content": "INITIAL DESIGN (Trace 208)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 174.53 kg\n Factor of Safety: 0.36\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.5338446795945, + "fos_buckling": 0.35937695525646474, + "fos_yielding": 0.8412931638792461, + "deflection": 0.01772320732808232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1480": { + "node_id": "node_1480", + "content": "MODIFICATION: Increase 12 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 180.90 kg\n Factor of Safety: 0.36\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.89613214021537, + "fos_buckling": 0.3592915086614727, + "fos_yielding": 0.8410943606194861, + "deflection": 0.01696260728038332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.504)" + }, + "parent_node_id": "node_1479", + "improvement_over_parent": null + }, + "node_1481": { + "node_id": "node_1481", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n\nPerformance:\n Mass: 200.98 kg\n Factor of Safety: 0.87\n Max Deflection: 8.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.9797288399753, + "fos_buckling": 0.8727687784570847, + "fos_yielding": 1.8451290691848636, + "deflection": 0.00828507092341199, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004105)" + }, + "parent_node_id": "node_1480", + "improvement_over_parent": null + }, + "node_1482": { + "node_id": "node_1482", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 214.86 kg\n Factor of Safety: 0.88\n Max Deflection: 7.76e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.8608520228172, + "fos_buckling": 0.8791249508707991, + "fos_yielding": 1.6884488096115962, + "deflection": 0.007755721888765904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003178)" + }, + "parent_node_id": "node_1481", + "improvement_over_parent": null + }, + "node_1483": { + "node_id": "node_1483", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 233.60 kg\n Factor of Safety: 1.22\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.60262106162634, + "fos_buckling": 1.2193968920910938, + "fos_yielding": 1.6863511084163734, + "deflection": 0.006659917632548553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003693)" + }, + "parent_node_id": "node_1482", + "improvement_over_parent": null + }, + "node_1484": { + "node_id": "node_1484", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41176008836385, + "fos_buckling": 1.5139781249646296, + "fos_yielding": 2.186815300268423, + "deflection": 0.005154928045838087, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1483", + "improvement_over_parent": null + }, + "node_1485": { + "node_id": "node_1485", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1484", + "improvement_over_parent": null + }, + "node_1486": { + "node_id": "node_1486", + "content": "INITIAL DESIGN (Trace 209)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n\nPerformance:\n Mass: 197.86 kg\n Factor of Safety: 0.42\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.8632446536307, + "fos_buckling": 0.4197942548812388, + "fos_yielding": 1.3826629501564418, + "deflection": 0.010552000958886986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1487": { + "node_id": "node_1487", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 217.11 kg\n Factor of Safety: 0.54\n Max Deflection: 9.09e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.10824502972906, + "fos_buckling": 0.5394557036572452, + "fos_yielding": 1.6168675789226972, + "deflection": 0.009094696313697885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003676)" + }, + "parent_node_id": "node_1486", + "improvement_over_parent": null + }, + "node_1488": { + "node_id": "node_1488", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 262.56 kg\n Factor of Safety: 0.64\n Max Deflection: 7.54e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.55639327809865, + "fos_buckling": 0.6426144203970341, + "fos_yielding": 1.952764911934902, + "deflection": 0.007535351614259549, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1487", + "improvement_over_parent": null + }, + "node_1489": { + "node_id": "node_1489", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 267.59 kg\n Factor of Safety: 1.20\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.5855048385577, + "fos_buckling": 1.1952651048105276, + "fos_yielding": 1.977681743469822, + "deflection": 0.005792784792657875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002972)" + }, + "parent_node_id": "node_1488", + "improvement_over_parent": null + }, + "node_1490": { + "node_id": "node_1490", + "content": "MODIFICATION: Increase 13 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0055)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 274.04 kg\n Factor of Safety: 1.19\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.03783222832766, + "fos_buckling": 1.1882503611440298, + "fos_yielding": 1.96219479032264, + "deflection": 0.005754469689776514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.449)" + }, + "parent_node_id": "node_1489", + "improvement_over_parent": null + }, + "node_1491": { + "node_id": "node_1491", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0061)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.64 kg\n Factor of Safety: 1.30\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.6422188520174, + "fos_buckling": 1.3037253826831077, + "fos_yielding": 2.1732552130823186, + "deflection": 0.0052030558835233325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_1490", + "improvement_over_parent": null + }, + "node_1492": { + "node_id": "node_1492", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1491", + "improvement_over_parent": null + }, + "node_1493": { + "node_id": "node_1493", + "content": "INITIAL DESIGN (Trace 210)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 162.35 kg\n Factor of Safety: 0.42\n Max Deflection: 3.70e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.34514210871703, + "fos_buckling": 0.4211030714108205, + "fos_yielding": 1.1888567615515349, + "deflection": 3703884514771.585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1494": { + "node_id": "node_1494", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n\nPerformance:\n Mass: 178.98 kg\n Factor of Safety: 0.63\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.97889327619947, + "fos_buckling": 0.6254543451595119, + "fos_yielding": 1.3814652274175887, + "deflection": 0.010175020718898552, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003359)" + }, + "parent_node_id": "node_1493", + "improvement_over_parent": null + }, + "node_1495": { + "node_id": "node_1495", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n\nPerformance:\n Mass: 182.53 kg\n Factor of Safety: 0.75\n Max Deflection: 9.34e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.53277628087181, + "fos_buckling": 0.7465045635744092, + "fos_yielding": 1.399460538349129, + "deflection": 0.009340077706787582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002049)" + }, + "parent_node_id": "node_1494", + "improvement_over_parent": null + }, + "node_1496": { + "node_id": "node_1496", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 221.22 kg\n Factor of Safety: 0.88\n Max Deflection: 7.73e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.21638041151408, + "fos_buckling": 0.8815008621072996, + "fos_yielding": 1.6944953685613457, + "deflection": 0.007730743373861466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1495", + "improvement_over_parent": null + }, + "node_1497": { + "node_id": "node_1497", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n\nPerformance:\n Mass: 234.44 kg\n Factor of Safety: 1.22\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.44274467819673, + "fos_buckling": 1.2231815344606454, + "fos_yielding": 1.692452882571375, + "deflection": 0.006636242413539182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003338)" + }, + "parent_node_id": "node_1496", + "improvement_over_parent": null + }, + "node_1498": { + "node_id": "node_1498", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4327056302459, + "fos_buckling": 1.5141184521466284, + "fos_yielding": 2.187052037872261, + "deflection": 0.0051544038593771095, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_1497", + "improvement_over_parent": null + }, + "node_1499": { + "node_id": "node_1499", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1498", + "improvement_over_parent": null + }, + "node_1500": { + "node_id": "node_1500", + "content": "INITIAL DESIGN (Trace 211)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 268.13 kg\n Factor of Safety: 1.08\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 268.1260707847286, + "fos_buckling": 1.0780797753246993, + "fos_yielding": 1.976552183425422, + "deflection": 0.005961454720634039, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1501": { + "node_id": "node_1501", + "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 269.98 kg\n Factor of Safety: 1.08\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.9799199212885, + "fos_buckling": 1.0780797753246993, + "fos_yielding": 2.383894539047403, + "deflection": 0.005961454720634039, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.233)" + }, + "parent_node_id": "node_1500", + "improvement_over_parent": null + }, + "node_1502": { + "node_id": "node_1502", + "content": "MODIFICATION: Increase 10 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 282.10 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.10300914887233, + "fos_buckling": 1.0771276878455482, + "fos_yielding": 2.395656954254262, + "deflection": 0.005576770392111919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.548)" + }, + "parent_node_id": "node_1501", + "improvement_over_parent": null + }, + "node_1503": { + "node_id": "node_1503", + "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 285.39 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.3875382559105, + "fos_buckling": 1.0766124886488204, + "fos_yielding": 2.39514801125057, + "deflection": 0.005577821070323909, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.383)" + }, + "parent_node_id": "node_1502", + "improvement_over_parent": null + }, + "node_1504": { + "node_id": "node_1504", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41930494114024, + "fos_buckling": 1.5141219753744715, + "fos_yielding": 2.186250025237845, + "deflection": 0.00515469615589586, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_1503", + "improvement_over_parent": null + }, + "node_1505": { + "node_id": "node_1505", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1504", + "improvement_over_parent": null + }, + "node_1506": { + "node_id": "node_1506", + "content": "INITIAL DESIGN (Trace 212)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 257.21 kg\n Factor of Safety: 0.92\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.2139808384758, + "fos_buckling": 0.9226227746112481, + "fos_yielding": 1.9088503688158391, + "deflection": 0.007073481029733568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1507": { + "node_id": "node_1507", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 281.56 kg\n Factor of Safety: 0.95\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.5551088438527, + "fos_buckling": 0.9469524406322228, + "fos_yielding": 1.9213760673245694, + "deflection": 0.007083780807541668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_1506", + "improvement_over_parent": null + }, + "node_1508": { + "node_id": "node_1508", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 294.24 kg\n Factor of Safety: 0.92\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.24348010234127, + "fos_buckling": 0.920158677094466, + "fos_yielding": 1.8989797647384008, + "deflection": 0.006531793067258418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_1507", + "improvement_over_parent": null + }, + "node_1509": { + "node_id": "node_1509", + "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0039)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 295.82 kg\n Factor of Safety: 0.91\n Max Deflection: 6.48e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.8238553628901, + "fos_buckling": 0.9052814677540818, + "fos_yielding": 1.8864509176816282, + "deflection": 0.006481209676279503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.664)" + }, + "parent_node_id": "node_1508", + "improvement_over_parent": null + }, + "node_1510": { + "node_id": "node_1510", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0039)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 301.40 kg\n Factor of Safety: 1.12\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.3980550278663, + "fos_buckling": 1.1181184040906254, + "fos_yielding": 1.5881765799427987, + "deflection": 0.0052729611412179085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1509", + "improvement_over_parent": null + }, + "node_1511": { + "node_id": "node_1511", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1510", + "improvement_over_parent": null + }, + "node_1512": { + "node_id": "node_1512", + "content": "INITIAL DESIGN (Trace 213)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 249.58 kg\n Factor of Safety: 0.79\n Max Deflection: 7.56e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.57910456397002, + "fos_buckling": 0.7852783492299619, + "fos_yielding": 1.85921868528104, + "deflection": 0.007558858672206523, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1513": { + "node_id": "node_1513", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 254.37 kg\n Factor of Safety: 1.25\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.3737832824746, + "fos_buckling": 1.2541950378839883, + "fos_yielding": 1.8794974405499263, + "deflection": 0.0060508724942505985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002822)" + }, + "parent_node_id": "node_1512", + "improvement_over_parent": null + }, + "node_1514": { + "node_id": "node_1514", + "content": "MODIFICATION: Increase 12 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0067)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 265.83 kg\n Factor of Safety: 1.35\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.8272299157238, + "fos_buckling": 1.3467006424227093, + "fos_yielding": 1.8758843126596305, + "deflection": 0.005927563703342346, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.656)" + }, + "parent_node_id": "node_1513", + "improvement_over_parent": null + }, + "node_1515": { + "node_id": "node_1515", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0079)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 308.84 kg\n Factor of Safety: 1.52\n Max Deflection: 5.12e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 308.83941633366516, + "fos_buckling": 1.5231421961647431, + "fos_yielding": 2.1795147629132496, + "deflection": 0.005115654392800832, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_1514", + "improvement_over_parent": null + }, + "node_1516": { + "node_id": "node_1516", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1515", + "improvement_over_parent": null + }, + "node_1517": { + "node_id": "node_1517", + "content": "INITIAL DESIGN (Trace 214)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 189.72 kg\n Factor of Safety: 0.40\n Max Deflection: 9.72e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.7236205549522, + "fos_buckling": 0.39877312757713423, + "fos_yielding": 1.3035092884278197, + "deflection": 0.009719189904770538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1518": { + "node_id": "node_1518", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 207.86 kg\n Factor of Safety: 1.14\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.8621162826689, + "fos_buckling": 1.1434965513925905, + "fos_yielding": 1.5377051528961987, + "deflection": 0.007638042263839318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003451)" + }, + "parent_node_id": "node_1517", + "improvement_over_parent": null + }, + "node_1519": { + "node_id": "node_1519", + "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 212.89 kg\n Factor of Safety: 1.13\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.88501218670226, + "fos_buckling": 1.1276690451999174, + "fos_yielding": 1.5379566612722393, + "deflection": 0.007285903074639528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.412)" + }, + "parent_node_id": "node_1518", + "improvement_over_parent": null + }, + "node_1520": { + "node_id": "node_1520", + "content": "MODIFICATION: Increase 8 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 213.40 kg\n Factor of Safety: 1.13\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.3962450950403, + "fos_buckling": 1.1282361831336236, + "fos_yielding": 1.5412428748370166, + "deflection": 0.007279029517361734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.372)" + }, + "parent_node_id": "node_1519", + "improvement_over_parent": null + }, + "node_1521": { + "node_id": "node_1521", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 272.39 kg\n Factor of Safety: 1.39\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.3872968636886, + "fos_buckling": 1.386979695963599, + "fos_yielding": 1.9646575093646002, + "deflection": 0.005728334657209381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1520", + "improvement_over_parent": null + }, + "node_1522": { + "node_id": "node_1522", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.37 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3718800867326, + "fos_buckling": 1.5138395070049362, + "fos_yielding": 2.1865969718577714, + "deflection": 0.005155410295916017, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_1521", + "improvement_over_parent": null + }, + "node_1523": { + "node_id": "node_1523", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1522", + "improvement_over_parent": null + }, + "node_1524": { + "node_id": "node_1524", + "content": "INITIAL DESIGN (Trace 215)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 153.65 kg\n Factor of Safety: 0.36\n Max Deflection: 1.51e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.6524121768594, + "fos_buckling": 0.36307861479727727, + "fos_yielding": 1.0161916154486927, + "deflection": 151442636015.08304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1525": { + "node_id": "node_1525", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n\nPerformance:\n Mass: 155.59 kg\n Factor of Safety: 0.36\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.5881706601315, + "fos_buckling": 0.3624480223610605, + "fos_yielding": 1.0161694138333275, + "deflection": 0.01621789913155393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001581)" + }, + "parent_node_id": "node_1524", + "improvement_over_parent": null + }, + "node_1526": { + "node_id": "node_1526", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n\nPerformance:\n Mass: 164.35 kg\n Factor of Safety: 0.36\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.34652577694465, + "fos_buckling": 0.36232918538331116, + "fos_yielding": 1.0161694138333275, + "deflection": 0.01580482452617071, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002548)" + }, + "parent_node_id": "node_1525", + "improvement_over_parent": null + }, + "node_1527": { + "node_id": "node_1527", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 210.23 kg\n Factor of Safety: 0.45\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.2286066881511, + "fos_buckling": 0.4466818627461147, + "fos_yielding": 1.2984999259194747, + "deflection": 0.012385579016726182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_1526", + "improvement_over_parent": null + }, + "node_1528": { + "node_id": "node_1528", + "content": "MODIFICATION: Increase 11 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0062)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 218.61 kg\n Factor of Safety: 0.45\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.60764699139477, + "fos_buckling": 0.44654223839080404, + "fos_yielding": 1.2984999259194747, + "deflection": 0.012290506474426283, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.414)" + }, + "parent_node_id": "node_1527", + "improvement_over_parent": null + }, + "node_1529": { + "node_id": "node_1529", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0071)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 247.33 kg\n Factor of Safety: 0.49\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.32504642607313, + "fos_buckling": 0.4941140514060601, + "fos_yielding": 1.4692488790617242, + "deflection": 0.010872550821549146, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_1528", + "improvement_over_parent": null + }, + "node_1530": { + "node_id": "node_1530", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0071)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 283.71 kg\n Factor of Safety: 1.13\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.70744388155225, + "fos_buckling": 1.1337004210054065, + "fos_yielding": 2.248160706613362, + "deflection": 0.006238067707244678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_1529", + "improvement_over_parent": null + }, + "node_1531": { + "node_id": "node_1531", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0071)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 306.93 kg\n Factor of Safety: 1.49\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 306.93096426270023, + "fos_buckling": 1.4853895439189524, + "fos_yielding": 2.2046714639688423, + "deflection": 0.005133750075330268, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_1530", + "improvement_over_parent": null + }, + "node_1532": { + "node_id": "node_1532", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1531", + "improvement_over_parent": null + }, + "node_1533": { + "node_id": "node_1533", + "content": "INITIAL DESIGN (Trace 216)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 183.36 kg\n Factor of Safety: 0.81\n Max Deflection: 9.99e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.3599749793062, + "fos_buckling": 0.8103532671939616, + "fos_yielding": 1.5307068296452973, + "deflection": 0.00999465202705098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1534": { + "node_id": "node_1534", + "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 189.24 kg\n Factor of Safety: 0.81\n Max Deflection: 9.52e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.2415615597786, + "fos_buckling": 0.809819389138547, + "fos_yielding": 1.5344022362718663, + "deflection": 0.009523709556724446, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.506)" + }, + "parent_node_id": "node_1533", + "improvement_over_parent": null + }, + "node_1535": { + "node_id": "node_1535", + "content": "MODIFICATION: Increase 0 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 192.34 kg\n Factor of Safety: 0.81\n Max Deflection: 8.90e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.3403056271793, + "fos_buckling": 0.809632038437369, + "fos_yielding": 1.5343653902926675, + "deflection": 0.008901790674376967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.272)" + }, + "parent_node_id": "node_1534", + "improvement_over_parent": null + }, + "node_1536": { + "node_id": "node_1536", + "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 195.15 kg\n Factor of Safety: 0.81\n Max Deflection: 8.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.14851932660386, + "fos_buckling": 0.8094623281224879, + "fos_yielding": 1.534332000427293, + "deflection": 0.008524708159015137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.198)" + }, + "parent_node_id": "node_1535", + "improvement_over_parent": null + }, + "node_1537": { + "node_id": "node_1537", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n\nPerformance:\n Mass: 212.17 kg\n Factor of Safety: 1.12\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.16890277864584, + "fos_buckling": 1.1225578044609783, + "fos_yielding": 1.5324496782375185, + "deflection": 0.007320495459139426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003332)" + }, + "parent_node_id": "node_1536", + "improvement_over_parent": null + }, + "node_1538": { + "node_id": "node_1538", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n\nPerformance:\n Mass: 245.12 kg\n Factor of Safety: 1.27\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.11927967912692, + "fos_buckling": 1.270133686418679, + "fos_yielding": 1.7691122738828688, + "deflection": 0.006352400520894206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_1537", + "improvement_over_parent": null + }, + "node_1539": { + "node_id": "node_1539", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.38743769303414, + "fos_buckling": 1.5138297720660283, + "fos_yielding": 2.1867474333564316, + "deflection": 0.005155183228306176, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_1538", + "improvement_over_parent": null + }, + "node_1540": { + "node_id": "node_1540", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1539", + "improvement_over_parent": null + }, + "node_1541": { + "node_id": "node_1541", + "content": "INITIAL DESIGN (Trace 217)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n Mass: 198.62 kg\n Factor of Safety: 0.27\n Max Deflection: 1.83e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.61508034151487, + "fos_buckling": 0.2718426310264212, + "fos_yielding": 1.3419809285516309, + "deflection": 18319550774314.496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1542": { + "node_id": "node_1542", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 214.61 kg\n Factor of Safety: 0.49\n Max Deflection: 7.79e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.61445335647997, + "fos_buckling": 0.4862071036059233, + "fos_yielding": 1.6429416929779823, + "deflection": 0.007789997703853499, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003704)" + }, + "parent_node_id": "node_1541", + "improvement_over_parent": null + }, + "node_1543": { + "node_id": "node_1543", + "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 222.20 kg\n Factor of Safety: 0.49\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.1968169215048, + "fos_buckling": 0.48593591428760796, + "fos_yielding": 1.6427341264918713, + "deflection": 0.0075296209653679825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.333)" + }, + "parent_node_id": "node_1542", + "improvement_over_parent": null + }, + "node_1544": { + "node_id": "node_1544", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 245.08 kg\n Factor of Safety: 0.82\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.0771633708409, + "fos_buckling": 0.819781142702397, + "fos_yielding": 1.89100408734862, + "deflection": 0.006404546741288564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004429)" + }, + "parent_node_id": "node_1543", + "improvement_over_parent": null + }, + "node_1545": { + "node_id": "node_1545", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n\nPerformance:\n Mass: 256.60 kg\n Factor of Safety: 1.26\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.598643855917, + "fos_buckling": 1.2590644198915957, + "fos_yielding": 1.9081309449418562, + "deflection": 0.005987525192994004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002440)" + }, + "parent_node_id": "node_1544", + "improvement_over_parent": null + }, + "node_1546": { + "node_id": "node_1546", + "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n\nPerformance:\n Mass: 262.67 kg\n Factor of Safety: 1.30\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.6676719628834, + "fos_buckling": 1.2954127250032552, + "fos_yielding": 1.9385193636482871, + "deflection": 0.005865660537904038, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.656)" + }, + "parent_node_id": "node_1545", + "improvement_over_parent": null + }, + "node_1547": { + "node_id": "node_1547", + "content": "MODIFICATION: Increase 12 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0068)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n\nPerformance:\n Mass: 273.64 kg\n Factor of Safety: 1.38\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.64059580744606, + "fos_buckling": 1.3808987874744432, + "fos_yielding": 1.934958904822205, + "deflection": 0.005753511417142635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.610)" + }, + "parent_node_id": "node_1546", + "improvement_over_parent": null + }, + "node_1548": { + "node_id": "node_1548", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0077)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n\nPerformance:\n Mass: 308.29 kg\n Factor of Safety: 1.52\n Max Deflection: 5.12e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 308.2881362996934, + "fos_buckling": 1.522239279678628, + "fos_yielding": 2.1798507264814044, + "deflection": 0.0051181862935002565, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_1547", + "improvement_over_parent": null + }, + "node_1549": { + "node_id": "node_1549", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1548", + "improvement_over_parent": null + }, + "node_1550": { + "node_id": "node_1550", + "content": "INITIAL DESIGN (Trace 218)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 220.98 kg\n Factor of Safety: 0.56\n Max Deflection: 9.71e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.98373895838216, + "fos_buckling": 0.5576225594620448, + "fos_yielding": 1.815947237543625, + "deflection": 0.009706428370627953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1551": { + "node_id": "node_1551", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 268.50 kg\n Factor of Safety: 0.67\n Max Deflection: 8.00e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 268.50330409359583, + "fos_buckling": 0.6670075263071856, + "fos_yielding": 2.1983910420928328, + "deflection": 0.007999357044750355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_1550", + "improvement_over_parent": null + }, + "node_1552": { + "node_id": "node_1552", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 274.08 kg\n Factor of Safety: 1.08\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.07750375857205, + "fos_buckling": 1.0787520592542708, + "fos_yielding": 2.3965912697519203, + "deflection": 0.005936010137631, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1551", + "improvement_over_parent": null + }, + "node_1553": { + "node_id": "node_1553", + "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 281.69 kg\n Factor of Safety: 1.08\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.6906475517794, + "fos_buckling": 1.077555661507857, + "fos_yielding": 2.395412130229889, + "deflection": 0.005938767199045538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.488)" + }, + "parent_node_id": "node_1552", + "improvement_over_parent": null + }, + "node_1554": { + "node_id": "node_1554", + "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0069)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 290.13 kg\n Factor of Safety: 1.08\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.1316856378542, + "fos_buckling": 1.0768935539314786, + "fos_yielding": 2.3743702148681187, + "deflection": 0.005852418146408615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.397)" + }, + "parent_node_id": "node_1553", + "improvement_over_parent": null + }, + "node_1555": { + "node_id": "node_1555", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0069)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 300.76 kg\n Factor of Safety: 1.27\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.7609294835321, + "fos_buckling": 1.2696571125132847, + "fos_yielding": 2.1833431341950025, + "deflection": 0.005422195339340551, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003135)" + }, + "parent_node_id": "node_1554", + "improvement_over_parent": null + }, + "node_1556": { + "node_id": "node_1556", + "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0053)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0069)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 302.56 kg\n Factor of Safety: 1.27\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.55751158218214, + "fos_buckling": 1.266247626573701, + "fos_yielding": 2.1832511733350675, + "deflection": 0.005379898916563574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.212)" + }, + "parent_node_id": "node_1555", + "improvement_over_parent": null + }, + "node_1557": { + "node_id": "node_1557", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1556", + "improvement_over_parent": null + }, + "node_1558": { + "node_id": "node_1558", + "content": "INITIAL DESIGN (Trace 219)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 201.81 kg\n Factor of Safety: 0.46\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.80584210341453, + "fos_buckling": 0.4633275945915393, + "fos_yielding": 1.5335648762079295, + "deflection": 0.010648941458512962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1559": { + "node_id": "node_1559", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 215.94 kg\n Factor of Safety: 0.46\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.940256299528, + "fos_buckling": 0.46283983934582906, + "fos_yielding": 1.5332026492756279, + "deflection": 0.008821079238469242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003585)" + }, + "parent_node_id": "node_1558", + "improvement_over_parent": null + }, + "node_1560": { + "node_id": "node_1560", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 218.26 kg\n Factor of Safety: 0.60\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.2556594702015, + "fos_buckling": 0.59553532985942, + "fos_yielding": 1.7866543475684966, + "deflection": 0.007515412434505452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001915)" + }, + "parent_node_id": "node_1559", + "improvement_over_parent": null + }, + "node_1561": { + "node_id": "node_1561", + "content": "MODIFICATION: Increase 10 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 225.91 kg\n Factor of Safety: 0.86\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.9111793433965, + "fos_buckling": 0.8644067242834476, + "fos_yielding": 1.786283094094625, + "deflection": 0.007132814697158233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.585)" + }, + "parent_node_id": "node_1560", + "improvement_over_parent": null + }, + "node_1562": { + "node_id": "node_1562", + "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0056)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 233.04 kg\n Factor of Safety: 0.86\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.0438666439954, + "fos_buckling": 0.864873282773036, + "fos_yielding": 1.80189448408159, + "deflection": 0.007065608832432659, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.372)" + }, + "parent_node_id": "node_1561", + "improvement_over_parent": null + }, + "node_1563": { + "node_id": "node_1563", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0055)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0069)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 282.11 kg\n Factor of Safety: 1.01\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.11430032828, + "fos_buckling": 1.007801002667492, + "fos_yielding": 2.1797534224853696, + "deflection": 0.005849234137873536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_1562", + "improvement_over_parent": null + }, + "node_1564": { + "node_id": "node_1564", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0055)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0069)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 302.43 kg\n Factor of Safety: 1.16\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.42763521030685, + "fos_buckling": 1.1606242341580875, + "fos_yielding": 2.205902192604782, + "deflection": 0.005469773625716611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_1563", + "improvement_over_parent": null + }, + "node_1565": { + "node_id": "node_1565", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1564", + "improvement_over_parent": null + }, + "node_1566": { + "node_id": "node_1566", + "content": "INITIAL DESIGN (Trace 220)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 288.16 kg\n Factor of Safety: 1.37\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.1637057464107, + "fos_buckling": 1.3737681531013968, + "fos_yielding": 2.1849586923654782, + "deflection": 0.005506344743599975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1567": { + "node_id": "node_1567", + "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 293.26 kg\n Factor of Safety: 1.37\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.2619224412213, + "fos_buckling": 1.3743439503409367, + "fos_yielding": 2.185038451873212, + "deflection": 0.005373273882890937, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.179)" + }, + "parent_node_id": "node_1566", + "improvement_over_parent": null + }, + "node_1568": { + "node_id": "node_1568", + "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.44 kg\n Factor of Safety: 1.36\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.4402512576166, + "fos_buckling": 1.3577901035347075, + "fos_yielding": 2.182720803320294, + "deflection": 0.005225782509062985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.199)" + }, + "parent_node_id": "node_1567", + "improvement_over_parent": null + }, + "node_1569": { + "node_id": "node_1569", + "content": "MODIFICATION: Increase 2 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.96 kg\n Factor of Safety: 1.47\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.9551994074726, + "fos_buckling": 1.4675095358350694, + "fos_yielding": 2.1971870092204493, + "deflection": 0.0051764440202230625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.264)" + }, + "parent_node_id": "node_1568", + "improvement_over_parent": null + }, + "node_1570": { + "node_id": "node_1570", + "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41455507689477, + "fos_buckling": 1.514218950822307, + "fos_yielding": 2.1869382645358275, + "deflection": 0.005154690929822201, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.264)" + }, + "parent_node_id": "node_1569", + "improvement_over_parent": null + }, + "node_1571": { + "node_id": "node_1571", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1570", + "improvement_over_parent": null + }, + "node_1572": { + "node_id": "node_1572", + "content": "INITIAL DESIGN (Trace 221)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 220.42 kg\n Factor of Safety: 0.45\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.42111681436526, + "fos_buckling": 0.453123099729806, + "fos_yielding": 1.2695928955872626, + "deflection": 0.01101500777261006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1573": { + "node_id": "node_1573", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n\nPerformance:\n Mass: 238.68 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.67992365489323, + "fos_buckling": 0.45219980709332563, + "fos_yielding": 1.2684240584360034, + "deflection": 0.010727369811010686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003987)" + }, + "parent_node_id": "node_1572", + "improvement_over_parent": null + }, + "node_1574": { + "node_id": "node_1574", + "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n\nPerformance:\n Mass: 240.04 kg\n Factor of Safety: 0.45\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.03833704437494, + "fos_buckling": 0.45219980709332575, + "fos_yielding": 1.507806268830287, + "deflection": 0.010533616037465969, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.205)" + }, + "parent_node_id": "node_1573", + "improvement_over_parent": null + }, + "node_1575": { + "node_id": "node_1575", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 272.74 kg\n Factor of Safety: 1.39\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.7400230678156, + "fos_buckling": 1.3884234561668187, + "fos_yielding": 1.9672607233584847, + "deflection": 0.0057211399651856745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005336)" + }, + "parent_node_id": "node_1574", + "improvement_over_parent": null + }, + "node_1576": { + "node_id": "node_1576", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.51459955870916, + "fos_buckling": 1.5143704562899474, + "fos_yielding": 2.1877009040911655, + "deflection": 0.00515309525368048, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_1575", + "improvement_over_parent": null + }, + "node_1577": { + "node_id": "node_1577", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1576", + "improvement_over_parent": null + }, + "node_1578": { + "node_id": "node_1578", + "content": "INITIAL DESIGN (Trace 222)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 197.14 kg\n Factor of Safety: 0.85\n Max Deflection: 7.93e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.1369257238171, + "fos_buckling": 0.853958111609093, + "fos_yielding": 1.181692100066347, + "deflection": 0.007926517849826257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1579": { + "node_id": "node_1579", + "content": "MODIFICATION: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 198.95 kg\n Factor of Safety: 1.06\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.95040333916765, + "fos_buckling": 1.0614986653368539, + "fos_yielding": 1.437375085197511, + "deflection": 0.007798961424935638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.433)" + }, + "parent_node_id": "node_1578", + "improvement_over_parent": null + }, + "node_1580": { + "node_id": "node_1580", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 255.03 kg\n Factor of Safety: 1.31\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.02751974402312, + "fos_buckling": 1.3132959037870497, + "fos_yielding": 1.8401649165096516, + "deflection": 0.006110196407813795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_1579", + "improvement_over_parent": null + }, + "node_1581": { + "node_id": "node_1581", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.56 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.555124539128, + "fos_buckling": 1.5146930152276221, + "fos_yielding": 2.187897938581815, + "deflection": 0.0051523858010453895, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_1580", + "improvement_over_parent": null + }, + "node_1582": { + "node_id": "node_1582", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1581", + "improvement_over_parent": null + }, + "node_1583": { + "node_id": "node_1583", + "content": "INITIAL DESIGN (Trace 223)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 186.72 kg\n Factor of Safety: 0.03\n Max Deflection: 2.22e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.7171167575249, + "fos_buckling": 0.02991312512088402, + "fos_yielding": 0.07430354759697093, + "deflection": 221619850754074.2, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1584": { + "node_id": "node_1584", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 208.52 kg\n Factor of Safety: 0.86\n Max Deflection: 8.33e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.52411603033133, + "fos_buckling": 0.8625132344372283, + "fos_yielding": 1.6834578295522997, + "deflection": 8331035145422.262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_1583", + "improvement_over_parent": null + }, + "node_1585": { + "node_id": "node_1585", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 245.04 kg\n Factor of Safety: 0.03\n Max Deflection: 1.95e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.0442391854343, + "fos_buckling": 0.028684745746037528, + "fos_yielding": 0.07430354759697091, + "deflection": 194707558441642.66, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_1584", + "improvement_over_parent": null + }, + "node_1586": { + "node_id": "node_1586", + "content": "MODIFICATION: Increase 11 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 248.39 kg\n Factor of Safety: 0.34\n Max Deflection: 1.85e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.39054818093885, + "fos_buckling": 0.3444205824795571, + "fos_yielding": 1.1888567615515349, + "deflection": 18544181326134.25, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.185)" + }, + "parent_node_id": "node_1585", + "improvement_over_parent": null + }, + "node_1587": { + "node_id": "node_1587", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 265.51 kg\n Factor of Safety: 0.49\n Max Deflection: 9.64e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.50850341251333, + "fos_buckling": 0.49304918121891267, + "fos_yielding": 1.4399579427326186, + "deflection": 0.009643108218388907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_1586", + "improvement_over_parent": null + }, + "node_1588": { + "node_id": "node_1588", + "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 266.40 kg\n Factor of Safety: 0.49\n Max Deflection: 9.51e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.3987309766613, + "fos_buckling": 0.4929840079905237, + "fos_yielding": 1.4398718667663066, + "deflection": 0.009511798436296355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.179)" + }, + "parent_node_id": "node_1587", + "improvement_over_parent": null + }, + "node_1589": { + "node_id": "node_1589", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 302.78 kg\n Factor of Safety: 1.45\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.7811284321404, + "fos_buckling": 1.4479643856490851, + "fos_yielding": 2.142316804982134, + "deflection": 0.005166996489298327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_1588", + "improvement_over_parent": null + }, + "node_1590": { + "node_id": "node_1590", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1589", + "improvement_over_parent": null + }, + "node_1591": { + "node_id": "node_1591", + "content": "INITIAL DESIGN (Trace 224)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 148.44 kg\n Factor of Safety: 0.53\n Max Deflection: 1.89e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.4408488936595, + "fos_buckling": 0.5295688974765286, + "fos_yielding": 1.3320418621829269, + "deflection": 18927119740898.562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1592": { + "node_id": "node_1592", + "content": "MODIFICATION: Increase 12 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 150.17 kg\n Factor of Safety: 0.12\n Max Deflection: 4.54e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.16579231646799, + "fos_buckling": 0.12336654048308887, + "fos_yielding": 0.2972141903878837, + "deflection": 45445366442020.25, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.193)" + }, + "parent_node_id": "node_1591", + "improvement_over_parent": null + }, + "node_1593": { + "node_id": "node_1593", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 196.08 kg\n Factor of Safety: 0.47\n Max Deflection: 6.36e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.08345438913395, + "fos_buckling": 0.4748106432004433, + "fos_yielding": 1.1888567615515349, + "deflection": 6355635266283.771, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1592", + "improvement_over_parent": null + }, + "node_1594": { + "node_id": "node_1594", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 242.81 kg\n Factor of Safety: 1.45\n Max Deflection: 6.86e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.81493043267915, + "fos_buckling": 1.447011083739894, + "fos_yielding": 2.3229995061895967, + "deflection": 6861453633505.759, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_1593", + "improvement_over_parent": null + }, + "node_1595": { + "node_id": "node_1595", + "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 246.39 kg\n Factor of Safety: 0.03\n Max Deflection: 1.67e+14 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.38677139801126, + "fos_buckling": 0.02868272680650629, + "fos_yielding": 0.07430354759697093, + "deflection": 167272440091930.78, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.189)" + }, + "parent_node_id": "node_1594", + "improvement_over_parent": null + }, + "node_1596": { + "node_id": "node_1596", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 263.50 kg\n Factor of Safety: 0.49\n Max Deflection: 9.52e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.5047266295857, + "fos_buckling": 0.493108876257635, + "fos_yielding": 1.6754948703927897, + "deflection": 0.009523898850264159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_1595", + "improvement_over_parent": null + }, + "node_1597": { + "node_id": "node_1597", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 299.89 kg\n Factor of Safety: 1.39\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.88712408506484, + "fos_buckling": 1.385250710826133, + "fos_yielding": 2.2013533427948326, + "deflection": 0.005188905728551633, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_1596", + "improvement_over_parent": null + }, + "node_1598": { + "node_id": "node_1598", + "content": "MODIFICATION: Increase 5 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0061)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.24 kg\n Factor of Safety: 1.38\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.24071489413274, + "fos_buckling": 1.3841107893392999, + "fos_yielding": 2.2012083810029743, + "deflection": 0.0051338068707052174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.404)" + }, + "parent_node_id": "node_1597", + "improvement_over_parent": null + }, + "node_1599": { + "node_id": "node_1599", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1598", + "improvement_over_parent": null + }, + "node_1600": { + "node_id": "node_1600", + "content": "INITIAL DESIGN (Trace 225)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 231.59 kg\n Factor of Safety: 0.49\n Max Deflection: 8.35e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.58789839246933, + "fos_buckling": 0.48905557691848983, + "fos_yielding": 1.6575056306708997, + "deflection": 0.008352853183310513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1601": { + "node_id": "node_1601", + "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 234.38 kg\n Factor of Safety: 0.49\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.37554084842154, + "fos_buckling": 0.48875533161745044, + "fos_yielding": 1.6572747777605052, + "deflection": 0.008139697515859808, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.250)" + }, + "parent_node_id": "node_1600", + "improvement_over_parent": null + }, + "node_1602": { + "node_id": "node_1602", + "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 239.71 kg\n Factor of Safety: 0.49\n Max Deflection: 7.81e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.71292084027405, + "fos_buckling": 0.4881814922129907, + "fos_yielding": 1.6568329529310803, + "deflection": 0.007805832999208377, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.304)" + }, + "parent_node_id": "node_1601", + "improvement_over_parent": null + }, + "node_1603": { + "node_id": "node_1603", + "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 248.58 kg\n Factor of Safety: 0.49\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.58242445131827, + "fos_buckling": 0.4872308767959937, + "fos_yielding": 1.6560992619967312, + "deflection": 0.007463012975073493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.664)" + }, + "parent_node_id": "node_1602", + "improvement_over_parent": null + }, + "node_1604": { + "node_id": "node_1604", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.76 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.7626278696218, + "fos_buckling": 0.5321914202384748, + "fos_yielding": 1.848437809655184, + "deflection": 0.006700674580017928, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_1603", + "improvement_over_parent": null + }, + "node_1605": { + "node_id": "node_1605", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.55325541203575, + "fos_buckling": 1.5147951946284683, + "fos_yielding": 2.1881697197225294, + "deflection": 0.005152633286719396, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_1604", + "improvement_over_parent": null + }, + "node_1606": { + "node_id": "node_1606", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1605", + "improvement_over_parent": null + }, + "node_1607": { + "node_id": "node_1607", + "content": "INITIAL DESIGN (Trace 226)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1608": { + "node_id": "node_1608", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 228.52 kg\n Factor of Safety: 0.89\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.52467486598613, + "fos_buckling": 0.8934370823686364, + "fos_yielding": 1.9017116611667182, + "deflection": 0.010226240774704187, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003284)" + }, + "parent_node_id": "node_1607", + "improvement_over_parent": null + }, + "node_1609": { + "node_id": "node_1609", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n\nPerformance:\n Mass: 238.60 kg\n Factor of Safety: 1.02\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.59557395595823, + "fos_buckling": 1.0213291172543395, + "fos_yielding": 1.6867282418345868, + "deflection": 0.006553677747805416, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002958)" + }, + "parent_node_id": "node_1608", + "improvement_over_parent": null + }, + "node_1610": { + "node_id": "node_1610", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 300.54 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.5374298992295, + "fos_buckling": 1.2298391953307075, + "fos_yielding": 2.1215359997474534, + "deflection": 0.005227337214721952, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_1609", + "improvement_over_parent": null + }, + "node_1611": { + "node_id": "node_1611", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.34168587837, + "fos_buckling": 1.5137803587486534, + "fos_yielding": 2.186423258999196, + "deflection": 0.0051559538997452995, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_1610", + "improvement_over_parent": null + }, + "node_1612": { + "node_id": "node_1612", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1611", + "improvement_over_parent": null + }, + "node_1613": { + "node_id": "node_1613", + "content": "INITIAL DESIGN (Trace 227)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 138.31 kg\n Factor of Safety: 0.30\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.31349932691896, + "fos_buckling": 0.29854522395413, + "fos_yielding": 0.9359114476165039, + "deflection": 0.017724002592362082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1614": { + "node_id": "node_1614", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 167.92 kg\n Factor of Safety: 0.35\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.92057079287179, + "fos_buckling": 0.35445242331657567, + "fos_yielding": 1.1347429572000964, + "deflection": 0.014632686883675595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1613", + "improvement_over_parent": null + }, + "node_1615": { + "node_id": "node_1615", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n\nPerformance:\n Mass: 183.25 kg\n Factor of Safety: 0.78\n Max Deflection: 8.88e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.2525717586318, + "fos_buckling": 0.7789734065771001, + "fos_yielding": 1.6006484663773364, + "deflection": 0.008878351694573367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.002396)" + }, + "parent_node_id": "node_1614", + "improvement_over_parent": null + }, + "node_1616": { + "node_id": "node_1616", + "content": "MODIFICATION: Increase 10 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n\nPerformance:\n Mass: 192.72 kg\n Factor of Safety: 0.78\n Max Deflection: 8.66e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.72309153917996, + "fos_buckling": 0.7784294289249157, + "fos_yielding": 1.561981757964863, + "deflection": 0.008657486052283923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.637)" + }, + "parent_node_id": "node_1615", + "improvement_over_parent": null + }, + "node_1617": { + "node_id": "node_1617", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0059)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0027)]\n\nPerformance:\n Mass: 215.33 kg\n Factor of Safety: 0.86\n Max Deflection: 7.76e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.33304649530476, + "fos_buckling": 0.8557202649363717, + "fos_yielding": 1.7455052767668333, + "deflection": 0.007757795379558121, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_1616", + "improvement_over_parent": null + }, + "node_1618": { + "node_id": "node_1618", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0068)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n\nPerformance:\n Mass: 243.68 kg\n Factor of Safety: 0.95\n Max Deflection: 6.87e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.6817566809987, + "fos_buckling": 0.9485841780287838, + "fos_yielding": 1.9757974067479571, + "deflection": 0.006865450491479726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_1617", + "improvement_over_parent": null + }, + "node_1619": { + "node_id": "node_1619", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0068)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 259.07 kg\n Factor of Safety: 1.04\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.0742422156657, + "fos_buckling": 1.0449456543803768, + "fos_yielding": 1.8677945584259912, + "deflection": 0.006368096605758209, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003552)" + }, + "parent_node_id": "node_1618", + "improvement_over_parent": null + }, + "node_1620": { + "node_id": "node_1620", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0080)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.21\n Max Deflection: 5.45e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.38866335162754, + "fos_buckling": 1.205234154759016, + "fos_yielding": 2.1869541003018456, + "deflection": 0.005448773536064779, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_1619", + "improvement_over_parent": null + }, + "node_1621": { + "node_id": "node_1621", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1620", + "improvement_over_parent": null + }, + "node_1622": { + "node_id": "node_1622", + "content": "INITIAL DESIGN (Trace 228)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 255.78 kg\n Factor of Safety: 1.29\n Max Deflection: 3.76e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.78369549785805, + "fos_buckling": 1.2905931046302859, + "fos_yielding": 2.2672554770630438, + "deflection": 3763303193422.3066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1623": { + "node_id": "node_1623", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 281.57 kg\n Factor of Safety: 0.85\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.574323040272, + "fos_buckling": 0.8509521693773342, + "fos_yielding": 2.0903262470392105, + "deflection": 0.008765544944943684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_1622", + "improvement_over_parent": null + }, + "node_1624": { + "node_id": "node_1624", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 284.38 kg\n Factor of Safety: 1.08\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 284.37857901941254, + "fos_buckling": 1.0767852405462415, + "fos_yielding": 2.3950779160317706, + "deflection": 0.005837781630807481, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_1623", + "improvement_over_parent": null + }, + "node_1625": { + "node_id": "node_1625", + "content": "MODIFICATION: Increase 6 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 286.07 kg\n Factor of Safety: 1.08\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.0678991255949, + "fos_buckling": 1.076520370380103, + "fos_yielding": 2.395077916031771, + "deflection": 0.005756360074384518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.477)" + }, + "parent_node_id": "node_1624", + "improvement_over_parent": null + }, + "node_1626": { + "node_id": "node_1626", + "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 290.72 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.7233233785778, + "fos_buckling": 1.075791115713342, + "fos_yielding": 2.3950779160317697, + "deflection": 0.005580403977291733, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.379)" + }, + "parent_node_id": "node_1625", + "improvement_over_parent": null + }, + "node_1627": { + "node_id": "node_1627", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4116946370664, + "fos_buckling": 1.5140688961935933, + "fos_yielding": 2.186936794802523, + "deflection": 0.00515477432393429, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_1626", + "improvement_over_parent": null + }, + "node_1628": { + "node_id": "node_1628", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1627", + "improvement_over_parent": null + }, + "node_1629": { + "node_id": "node_1629", + "content": "INITIAL DESIGN (Trace 229)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 216.57 kg\n Factor of Safety: 0.44\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.57353770380692, + "fos_buckling": 0.4402992290873751, + "fos_yielding": 1.460337139492978, + "deflection": 0.011388421173898869, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1630": { + "node_id": "node_1630", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 248.91 kg\n Factor of Safety: 0.49\n Max Deflection: 9.93e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.90500704445589, + "fos_buckling": 0.49323891908758727, + "fos_yielding": 1.6759226066388702, + "deflection": 0.009933957771293111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_1629", + "improvement_over_parent": null + }, + "node_1631": { + "node_id": "node_1631", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 285.29 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.287404499935, + "fos_buckling": 1.0762806002888847, + "fos_yielding": 2.3949622475182637, + "deflection": 0.0055796311863452585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_1630", + "improvement_over_parent": null + }, + "node_1632": { + "node_id": "node_1632", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.31917118516475, + "fos_buckling": 1.5139854491820688, + "fos_yielding": 2.1860610143392614, + "deflection": 0.0051562958918591195, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_1631", + "improvement_over_parent": null + }, + "node_1633": { + "node_id": "node_1633", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1632", + "improvement_over_parent": null + }, + "node_1634": { + "node_id": "node_1634", + "content": "INITIAL DESIGN (Trace 230)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 169.02 kg\n Factor of Safety: 0.60\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.02326789693043, + "fos_buckling": 0.6011734544342096, + "fos_yielding": 1.3236116094126424, + "deflection": 0.010615365956697117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1635": { + "node_id": "node_1635", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 221.49 kg\n Factor of Safety: 0.77\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.48569368253592, + "fos_buckling": 0.7655235520450676, + "fos_yielding": 1.7321060554896675, + "deflection": 0.008127971713977257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_1634", + "improvement_over_parent": null + }, + "node_1636": { + "node_id": "node_1636", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n\nPerformance:\n Mass: 235.19 kg\n Factor of Safety: 0.74\n Max Deflection: 8.12e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.18751720969516, + "fos_buckling": 0.7374917723466982, + "fos_yielding": 1.730098700234214, + "deflection": 0.0081183968228603, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003467)" + }, + "parent_node_id": "node_1635", + "improvement_over_parent": null + }, + "node_1637": { + "node_id": "node_1637", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 293.95 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.95297395884995, + "fos_buckling": 0.889737018800226, + "fos_yielding": 2.159028080272618, + "deflection": 0.006518449565573811, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_1636", + "improvement_over_parent": null + }, + "node_1638": { + "node_id": "node_1638", + "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 299.22 kg\n Factor of Safety: 1.02\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.2189924151173, + "fos_buckling": 1.018562835545254, + "fos_yielding": 2.156979647159064, + "deflection": 0.006379044535304142, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.256)" + }, + "parent_node_id": "node_1637", + "improvement_over_parent": null + }, + "node_1639": { + "node_id": "node_1639", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 304.79 kg\n Factor of Safety: 1.52\n Max Deflection: 5.14e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 304.79319208009355, + "fos_buckling": 1.5181691200935232, + "fos_yielding": 2.182856747595433, + "deflection": 0.00513724205088988, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1638", + "improvement_over_parent": null + }, + "node_1640": { + "node_id": "node_1640", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1639", + "improvement_over_parent": null + }, + "node_1641": { + "node_id": "node_1641", + "content": "INITIAL DESIGN (Trace 231)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1642": { + "node_id": "node_1642", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 236.38 kg\n Factor of Safety: 0.87\n Max Deflection: 2.41e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.38241377528877, + "fos_buckling": 0.8735978152376379, + "fos_yielding": 2.018763190089352, + "deflection": 2406346461632.185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_1641", + "improvement_over_parent": null + }, + "node_1643": { + "node_id": "node_1643", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 256.70 kg\n Factor of Safety: 0.74\n Max Deflection: 7.14e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.69574865731556, + "fos_buckling": 0.7368165769295033, + "fos_yielding": 1.6783364584400722, + "deflection": 7144670952374.506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_1642", + "improvement_over_parent": null + }, + "node_1644": { + "node_id": "node_1644", + "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 259.36 kg\n Factor of Safety: 0.65\n Max Deflection: 6.85e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.3635369756883, + "fos_buckling": 0.6549480683817808, + "fos_yielding": 2.106100368559601, + "deflection": 6849969933267.729, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.427)" + }, + "parent_node_id": "node_1643", + "improvement_over_parent": null + }, + "node_1645": { + "node_id": "node_1645", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 264.94 kg\n Factor of Safety: 1.22\n Max Deflection: 3.35e+12 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.9377366406645, + "fos_buckling": 1.2236469155476126, + "fos_yielding": 2.2532592793510666, + "deflection": 3354012150979.2393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1644", + "improvement_over_parent": null + }, + "node_1646": { + "node_id": "node_1646", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 277.63 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.6261078991531, + "fos_buckling": 0.5318723085379063, + "fos_yielding": 1.8473583316008504, + "deflection": 0.006703939984530534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_1645", + "improvement_over_parent": null + }, + "node_1647": { + "node_id": "node_1647", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4167354415671, + "fos_buckling": 1.5141302693524339, + "fos_yielding": 2.1869424861553597, + "deflection": 0.005154667790253298, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_1646", + "improvement_over_parent": null + }, + "node_1648": { + "node_id": "node_1648", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1647", + "improvement_over_parent": null + }, + "node_1649": { + "node_id": "node_1649", + "content": "INITIAL DESIGN (Trace 232)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n\nPerformance:\n Mass: 119.42 kg\n Factor of Safety: 0.38\n Max Deflection: 2.52e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.42163844142557, + "fos_buckling": 0.37793937873228084, + "fos_yielding": 1.0357591398954253, + "deflection": 0.02522550605507351, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1650": { + "node_id": "node_1650", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n\nPerformance:\n Mass: 130.23 kg\n Factor of Safety: 0.47\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.23069350993663, + "fos_buckling": 0.46619834604957705, + "fos_yielding": 1.035294696837684, + "deflection": 0.01505129222519444, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002122)" + }, + "parent_node_id": "node_1649", + "improvement_over_parent": null + }, + "node_1651": { + "node_id": "node_1651", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n\nPerformance:\n Mass: 132.82 kg\n Factor of Safety: 0.56\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.82440292299, + "fos_buckling": 0.5609549639019743, + "fos_yielding": 1.1160228843926634, + "deflection": 0.011829928110606304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001473)" + }, + "parent_node_id": "node_1650", + "improvement_over_parent": null + }, + "node_1652": { + "node_id": "node_1652", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n\nPerformance:\n Mass: 166.44 kg\n Factor of Safety: 0.69\n Max Deflection: 9.47e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.44116832697722, + "fos_buckling": 0.6861269658824951, + "fos_yielding": 1.3982306907368809, + "deflection": 0.009467770132259702, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_1651", + "improvement_over_parent": null + }, + "node_1653": { + "node_id": "node_1653", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n\nPerformance:\n Mass: 213.19 kg\n Factor of Safety: 0.85\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.1910753836351, + "fos_buckling": 0.8492466361764528, + "fos_yielding": 1.7905226525427487, + "deflection": 0.0074211246720482784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1652", + "improvement_over_parent": null + }, + "node_1654": { + "node_id": "node_1654", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 246.30 kg\n Factor of Safety: 0.96\n Max Deflection: 6.44e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.30113166005958, + "fos_buckling": 0.9571841773816485, + "fos_yielding": 2.0682414771677795, + "deflection": 0.006441598312795158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1653", + "improvement_over_parent": null + }, + "node_1655": { + "node_id": "node_1655", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 261.87 kg\n Factor of Safety: 1.34\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.8737308379458, + "fos_buckling": 1.3425281683959966, + "fos_yielding": 1.889221036148693, + "deflection": 0.005953745833756371, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003597)" + }, + "parent_node_id": "node_1654", + "improvement_over_parent": null + }, + "node_1656": { + "node_id": "node_1656", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.35345164870375, + "fos_buckling": 1.5137721174977854, + "fos_yielding": 2.186399079334673, + "deflection": 0.005155888071511913, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_1655", + "improvement_over_parent": null + }, + "node_1657": { + "node_id": "node_1657", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1656", + "improvement_over_parent": null + }, + "node_1658": { + "node_id": "node_1658", + "content": "INITIAL DESIGN (Trace 233)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 273.25 kg\n Factor of Safety: 0.95\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.25400457789704, + "fos_buckling": 0.9470387527093559, + "fos_yielding": 2.38335085663461, + "deflection": 0.0064211594348508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1659": { + "node_id": "node_1659", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 296.48 kg\n Factor of Safety: 1.19\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.477524959045, + "fos_buckling": 1.1948801080771607, + "fos_yielding": 2.1149572155015117, + "deflection": 0.005259210297169255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_1658", + "improvement_over_parent": null + }, + "node_1660": { + "node_id": "node_1660", + "content": "MODIFICATION: Increase 14 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0058)]\n\nPerformance:\n Mass: 300.80 kg\n Factor of Safety: 1.17\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.79783397297615, + "fos_buckling": 1.1696403103348367, + "fos_yielding": 2.1096657741608, + "deflection": 0.005237432155797693, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.209)" + }, + "parent_node_id": "node_1659", + "improvement_over_parent": null + }, + "node_1661": { + "node_id": "node_1661", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0058)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.42\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.60208995211667, + "fos_buckling": 1.4171576464362967, + "fos_yielding": 2.170639652019985, + "deflection": 0.005164725058275016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_1660", + "improvement_over_parent": null + }, + "node_1662": { + "node_id": "node_1662", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1661", + "improvement_over_parent": null + }, + "node_1663": { + "node_id": "node_1663", + "content": "INITIAL DESIGN (Trace 234)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 250.94 kg\n Factor of Safety: 0.97\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.93698281474758, + "fos_buckling": 0.9653206055127371, + "fos_yielding": 2.0899547537892142, + "deflection": 0.006495653625148876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1664": { + "node_id": "node_1664", + "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 253.63 kg\n Factor of Safety: 0.96\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.62954467529462, + "fos_buckling": 0.964940487336405, + "fos_yielding": 2.0899547537892142, + "deflection": 0.006376466700800531, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.222)" + }, + "parent_node_id": "node_1663", + "improvement_over_parent": null + }, + "node_1665": { + "node_id": "node_1665", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 290.57 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.56912481643485, + "fos_buckling": 1.0753208617440786, + "fos_yielding": 2.393780847945584, + "deflection": 0.005583258633729527, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_1664", + "improvement_over_parent": null + }, + "node_1666": { + "node_id": "node_1666", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.25749607492344, + "fos_buckling": 1.5134142756505324, + "fos_yielding": 2.185745712245773, + "deflection": 0.005157413027288444, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_1665", + "improvement_over_parent": null + }, + "node_1667": { + "node_id": "node_1667", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1666", + "improvement_over_parent": null + }, + "node_1668": { + "node_id": "node_1668", + "content": "INITIAL DESIGN (Trace 235)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 174.41 kg\n Factor of Safety: 0.65\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.41190544768605, + "fos_buckling": 0.6450863437029837, + "fos_yielding": 1.4780749473522525, + "deflection": 0.010448982128531237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1669": { + "node_id": "node_1669", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 0.74\n Max Deflection: 8.94e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.16171585378152, + "fos_buckling": 0.7401163965476536, + "fos_yielding": 1.7264141177033676, + "deflection": 0.008943275034750245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_1668", + "improvement_over_parent": null + }, + "node_1670": { + "node_id": "node_1670", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 259.40 kg\n Factor of Safety: 0.91\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.40011846422533, + "fos_buckling": 0.9050040634658, + "fos_yielding": 2.1846558892338397, + "deflection": 0.007063510887892146, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_1669", + "improvement_over_parent": null + }, + "node_1671": { + "node_id": "node_1671", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.43 kg\n Factor of Safety: 0.91\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.43188514945507, + "fos_buckling": 0.9062377719740069, + "fos_yielding": 2.160491206191164, + "deflection": 0.006520922934136304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_1670", + "improvement_over_parent": null + }, + "node_1672": { + "node_id": "node_1672", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 283.01 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.0060848144313, + "fos_buckling": 0.9054746173354005, + "fos_yielding": 2.1602735140647016, + "deflection": 0.005601144199452475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1671", + "improvement_over_parent": null + }, + "node_1673": { + "node_id": "node_1673", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3194196964581, + "fos_buckling": 1.5136503738203646, + "fos_yielding": 2.1861261338923543, + "deflection": 0.005156430204618477, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_1672", + "improvement_over_parent": null + }, + "node_1674": { + "node_id": "node_1674", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1673", + "improvement_over_parent": null + }, + "node_1675": { + "node_id": "node_1675", + "content": "INITIAL DESIGN (Trace 236)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 281.04 kg\n Factor of Safety: 0.99\n Max Deflection: 5.54e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.04290111844, + "fos_buckling": 0.9862632635648751, + "fos_yielding": 2.1240266026831653, + "deflection": 0.005536738715209472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1676": { + "node_id": "node_1676", + "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 282.39 kg\n Factor of Safety: 1.01\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.391103483146, + "fos_buckling": 1.0067726129440124, + "fos_yielding": 2.1289245590176438, + "deflection": 0.005465984419200768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.350)" + }, + "parent_node_id": "node_1675", + "improvement_over_parent": null + }, + "node_1677": { + "node_id": "node_1677", + "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 288.03 kg\n Factor of Safety: 0.94\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.0256614886318, + "fos_buckling": 0.9390596788298078, + "fos_yielding": 2.111358347293324, + "deflection": 0.005378090052638651, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.499)" + }, + "parent_node_id": "node_1676", + "improvement_over_parent": null + }, + "node_1678": { + "node_id": "node_1678", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 290.83 kg\n Factor of Safety: 1.14\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.8299174677723, + "fos_buckling": 1.1380425535242866, + "fos_yielding": 2.1589952891295843, + "deflection": 0.0053256458430878785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_1677", + "improvement_over_parent": null + }, + "node_1679": { + "node_id": "node_1679", + "content": "MODIFICATION: Increase 15 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0039)]\n\nPerformance:\n Mass: 292.38 kg\n Factor of Safety: 1.13\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.3792688962475, + "fos_buckling": 1.1258508559513216, + "fos_yielding": 2.162693564065742, + "deflection": 0.005322324039357444, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.650)" + }, + "parent_node_id": "node_1678", + "improvement_over_parent": null + }, + "node_1680": { + "node_id": "node_1680", + "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0039)]\n\nPerformance:\n Mass: 295.35 kg\n Factor of Safety: 1.17\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.34721349908017, + "fos_buckling": 1.1676435637722207, + "fos_yielding": 2.1489085744697407, + "deflection": 0.005284577447450705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.335)" + }, + "parent_node_id": "node_1679", + "improvement_over_parent": null + }, + "node_1681": { + "node_id": "node_1681", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1680", + "improvement_over_parent": null + }, + "node_1682": { + "node_id": "node_1682", + "content": "INITIAL DESIGN (Trace 237)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 183.17 kg\n Factor of Safety: 0.60\n Max Deflection: 9.64e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.1711775229642, + "fos_buckling": 0.5960897970289231, + "fos_yielding": 1.548476722806529, + "deflection": 0.009637181400427842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1683": { + "node_id": "node_1683", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 217.29 kg\n Factor of Safety: 0.70\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.28838684895032, + "fos_buckling": 0.6966046116356863, + "fos_yielding": 1.8341047254110603, + "deflection": 0.008137858568214579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_1682", + "improvement_over_parent": null + }, + "node_1684": { + "node_id": "node_1684", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 260.45 kg\n Factor of Safety: 0.82\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.4516532362801, + "fos_buckling": 0.8190518206500125, + "fos_yielding": 2.1941135739036803, + "deflection": 0.006803431360412632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_1683", + "improvement_over_parent": null + }, + "node_1685": { + "node_id": "node_1685", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 284.79 kg\n Factor of Safety: 1.22\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 284.792781241657, + "fos_buckling": 1.2213220651369214, + "fos_yielding": 2.1912016887791546, + "deflection": 0.00557675302912324, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_1684", + "improvement_over_parent": null + }, + "node_1686": { + "node_id": "node_1686", + "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 295.26 kg\n Factor of Safety: 1.25\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.2577189250356, + "fos_buckling": 1.2512242362268338, + "fos_yielding": 2.1914153361861164, + "deflection": 0.005259519404684683, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.443)" + }, + "parent_node_id": "node_1685", + "improvement_over_parent": null + }, + "node_1687": { + "node_id": "node_1687", + "content": "MODIFICATION: Increase 13 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0067)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 304.31 kg\n Factor of Safety: 1.24\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 304.31384315546063, + "fos_buckling": 1.2426130193436762, + "fos_yielding": 2.1707122241299412, + "deflection": 0.0052186857396898795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.587)" + }, + "parent_node_id": "node_1686", + "improvement_over_parent": null + }, + "node_1688": { + "node_id": "node_1688", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1687", + "improvement_over_parent": null + }, + "node_1689": { + "node_id": "node_1689", + "content": "INITIAL DESIGN (Trace 238)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n\nPerformance:\n Mass: 139.82 kg\n Factor of Safety: 0.30\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.81992247066572, + "fos_buckling": 0.2961962628537354, + "fos_yielding": 0.9277844396053494, + "deflection": 0.017486731327592046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1690": { + "node_id": "node_1690", + "content": "MODIFICATION: Increase 13 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 141.96 kg\n Factor of Safety: 0.30\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.9593796579113, + "fos_buckling": 0.29617252196300226, + "fos_yielding": 0.9277509432380376, + "deflection": 0.01744575486242392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.186)" + }, + "parent_node_id": "node_1689", + "improvement_over_parent": null + }, + "node_1691": { + "node_id": "node_1691", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 164.42 kg\n Factor of Safety: 0.34\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.41509147093979, + "fos_buckling": 0.33743153264178943, + "fos_yielding": 1.0733107126763537, + "deflection": 0.015088565100516762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_1690", + "improvement_over_parent": null + }, + "node_1692": { + "node_id": "node_1692", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n\nPerformance:\n Mass: 166.20 kg\n Factor of Safety: 0.34\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.20381194774984, + "fos_buckling": 0.33738639023247985, + "fos_yielding": 1.0732459845936169, + "deflection": 0.01492554076627428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001454)" + }, + "parent_node_id": "node_1691", + "improvement_over_parent": null + }, + "node_1693": { + "node_id": "node_1693", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 205.76 kg\n Factor of Safety: 0.41\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.75599696164747, + "fos_buckling": 0.40566567499128553, + "fos_yielding": 1.3260502127383544, + "deflection": 0.01209208661277609, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_1692", + "improvement_over_parent": null + }, + "node_1694": { + "node_id": "node_1694", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n Mass: 234.45 kg\n Factor of Safety: 1.18\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.44900874507155, + "fos_buckling": 1.1818584561044605, + "fos_yielding": 1.7039860620314091, + "deflection": 0.006624974414460303, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004633)" + }, + "parent_node_id": "node_1693", + "improvement_over_parent": null + }, + "node_1695": { + "node_id": "node_1695", + "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n Mass: 239.43 kg\n Factor of Safety: 1.24\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.43092978494437, + "fos_buckling": 1.2448252210068322, + "fos_yielding": 1.7284307125095693, + "deflection": 0.006500637109640757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.572)" + }, + "parent_node_id": "node_1694", + "improvement_over_parent": null + }, + "node_1696": { + "node_id": "node_1696", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5504892782978, + "fos_buckling": 1.5141119732460464, + "fos_yielding": 2.1880984787529365, + "deflection": 0.00515258632645797, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_1695", + "improvement_over_parent": null + }, + "node_1697": { + "node_id": "node_1697", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1696", + "improvement_over_parent": null + }, + "node_1698": { + "node_id": "node_1698", + "content": "INITIAL DESIGN (Trace 239)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 128.66 kg\n Factor of Safety: 0.67\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.657381510871, + "fos_buckling": 0.6700330203926598, + "fos_yielding": 0.9724709678661815, + "deflection": 0.012246216673029081, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1699": { + "node_id": "node_1699", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n\nPerformance:\n Mass: 142.88 kg\n Factor of Safety: 0.74\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.87558968861487, + "fos_buckling": 0.7386196476938147, + "fos_yielding": 1.0794576562166251, + "deflection": 0.01103850910217605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_1698", + "improvement_over_parent": null + }, + "node_1700": { + "node_id": "node_1700", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 187.83 kg\n Factor of Safety: 0.95\n Max Deflection: 8.42e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.83463619729537, + "fos_buckling": 0.9485111799260278, + "fos_yielding": 1.4171020764012319, + "deflection": 0.008422674307789412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_1699", + "improvement_over_parent": null + }, + "node_1701": { + "node_id": "node_1701", + "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 191.97 kg\n Factor of Safety: 0.93\n Max Deflection: 8.04e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.9654679073314, + "fos_buckling": 0.9278083697795674, + "fos_yielding": 1.414687724209403, + "deflection": 0.008037476428737068, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.328)" + }, + "parent_node_id": "node_1700", + "improvement_over_parent": null + }, + "node_1702": { + "node_id": "node_1702", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 240.60 kg\n Factor of Safety: 1.13\n Max Deflection: 6.44e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.6016041676518, + "fos_buckling": 1.1343600533469607, + "fos_yielding": 1.7708433220576092, + "deflection": 0.0064371810974521056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_1701", + "improvement_over_parent": null + }, + "node_1703": { + "node_id": "node_1703", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 300.04 kg\n Factor of Safety: 1.37\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.0405515677426, + "fos_buckling": 1.3716860630923715, + "fos_yielding": 2.2048152634260467, + "deflection": 0.005185912770922111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_1702", + "improvement_over_parent": null + }, + "node_1704": { + "node_id": "node_1704", + "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.64 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.63621261790865, + "fos_buckling": 1.5149705795483988, + "fos_yielding": 2.1885400988075046, + "deflection": 0.005151334320630031, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.433)" + }, + "parent_node_id": "node_1703", + "improvement_over_parent": null + }, + "node_1705": { + "node_id": "node_1705", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1704", + "improvement_over_parent": null + }, + "node_1706": { + "node_id": "node_1706", + "content": "INITIAL DESIGN (Trace 240)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 157.33 kg\n Factor of Safety: 0.86\n Max Deflection: 9.83e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.3326884466883, + "fos_buckling": 0.8612500748407838, + "fos_yielding": 1.137799254753815, + "deflection": 0.009830582984679486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1707": { + "node_id": "node_1707", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.08\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.93742050190238, + "fos_buckling": 1.084679283369874, + "fos_yielding": 1.4732662098349958, + "deflection": 0.007611199469430393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_1706", + "improvement_over_parent": null + }, + "node_1708": { + "node_id": "node_1708", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 240.41 kg\n Factor of Safety: 1.25\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.41393258065114, + "fos_buckling": 1.249603298233862, + "fos_yielding": 1.7353312641868726, + "deflection": 0.006474423260741655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_1707", + "improvement_over_parent": null + }, + "node_1709": { + "node_id": "node_1709", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.70 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.69665012773805, + "fos_buckling": 1.5151949829360312, + "fos_yielding": 2.188951949137867, + "deflection": 0.005150070403373971, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_1708", + "improvement_over_parent": null + }, + "node_1710": { + "node_id": "node_1710", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1709", + "improvement_over_parent": null + }, + "node_1711": { + "node_id": "node_1711", + "content": "INITIAL DESIGN (Trace 241)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 136.61 kg\n Factor of Safety: 0.24\n Max Deflection: 2.15e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.61292761355486, + "fos_buckling": 0.24177773007993367, + "fos_yielding": 0.7092405074678628, + "deflection": 0.021473955576877025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1712": { + "node_id": "node_1712", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n\nPerformance:\n Mass: 149.46 kg\n Factor of Safety: 0.82\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.4628627053909, + "fos_buckling": 0.8221067443427419, + "fos_yielding": 1.0810821936529993, + "deflection": 0.010341957317473126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002562)" + }, + "parent_node_id": "node_1711", + "improvement_over_parent": null + }, + "node_1713": { + "node_id": "node_1713", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n\nPerformance:\n Mass: 191.79 kg\n Factor of Safety: 1.03\n Max Deflection: 8.09e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.7861273630856, + "fos_buckling": 1.0278046145134847, + "fos_yielding": 1.3858703132825456, + "deflection": 0.008085914493593853, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_1712", + "improvement_over_parent": null + }, + "node_1714": { + "node_id": "node_1714", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n\nPerformance:\n Mass: 249.34 kg\n Factor of Safety: 1.29\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.3402693856787, + "fos_buckling": 1.2886416121973945, + "fos_yielding": 1.799398310432861, + "deflection": 0.006246897935830984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_1713", + "improvement_over_parent": null + }, + "node_1715": { + "node_id": "node_1715", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.38 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.38181055431113, + "fos_buckling": 1.51393955811695, + "fos_yielding": 2.186700998582644, + "deflection": 0.005155295642057028, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_1714", + "improvement_over_parent": null + }, + "node_1716": { + "node_id": "node_1716", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1715", + "improvement_over_parent": null + }, + "node_1717": { + "node_id": "node_1717", + "content": "INITIAL DESIGN (Trace 242)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 200.45 kg\n Factor of Safety: 0.04\n Max Deflection: 4.36e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.45031967796228, + "fos_buckling": 0.044389507045138527, + "fos_yielding": 0.08627731769043327, + "deflection": 435636299048500.2, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1718": { + "node_id": "node_1718", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 202.77 kg\n Factor of Safety: 0.74\n Max Deflection: 6.08e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.76908651600993, + "fos_buckling": 0.7431041742127634, + "fos_yielding": 1.7539328563620926, + "deflection": 6082380756295.233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001918)" + }, + "parent_node_id": "node_1717", + "improvement_over_parent": null + }, + "node_1719": { + "node_id": "node_1719", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 217.68 kg\n Factor of Safety: 0.46\n Max Deflection: 8.34e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.67944728857802, + "fos_buckling": 0.45720142656174734, + "fos_yielding": 1.5309923468953288, + "deflection": 0.008337369788441653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003432)" + }, + "parent_node_id": "node_1718", + "improvement_over_parent": null + }, + "node_1720": { + "node_id": "node_1720", + "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 220.84 kg\n Factor of Safety: 0.46\n Max Deflection: 8.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.84058336983657, + "fos_buckling": 0.4568831003225734, + "fos_yielding": 1.5307505057599056, + "deflection": 0.008229511311488111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.185)" + }, + "parent_node_id": "node_1719", + "improvement_over_parent": null + }, + "node_1721": { + "node_id": "node_1721", + "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0057)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 228.79 kg\n Factor of Safety: 0.46\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.78828836397432, + "fos_buckling": 0.4566166637060305, + "fos_yielding": 1.5305478862002615, + "deflection": 0.00815820146027601, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.441)" + }, + "parent_node_id": "node_1720", + "improvement_over_parent": null + }, + "node_1722": { + "node_id": "node_1722", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0057)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 250.12 kg\n Factor of Safety: 1.08\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.11721058915487, + "fos_buckling": 1.079268070942384, + "fos_yielding": 1.8101552080035295, + "deflection": 0.0064711930471831325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004105)" + }, + "parent_node_id": "node_1721", + "improvement_over_parent": null + }, + "node_1723": { + "node_id": "node_1723", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0071)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.36 kg\n Factor of Safety: 1.28\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.3596523073958, + "fos_buckling": 1.27716818212361, + "fos_yielding": 2.186665129792775, + "deflection": 0.005368875257993073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_1722", + "improvement_over_parent": null + }, + "node_1724": { + "node_id": "node_1724", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1723", + "improvement_over_parent": null + }, + "node_1725": { + "node_id": "node_1725", + "content": "INITIAL DESIGN (Trace 243)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 233.88 kg\n Factor of Safety: 0.45\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.88208516030318, + "fos_buckling": 0.45118769615456644, + "fos_yielding": 1.3082441100657272, + "deflection": 0.010818709201576607, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1726": { + "node_id": "node_1726", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 236.40 kg\n Factor of Safety: 0.45\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.3956389181088, + "fos_buckling": 0.45110331851338226, + "fos_yielding": 1.3686881703613294, + "deflection": 0.010638976829277171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002093)" + }, + "parent_node_id": "node_1725", + "improvement_over_parent": null + }, + "node_1727": { + "node_id": "node_1727", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 263.74 kg\n Factor of Safety: 0.49\n Max Deflection: 9.55e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.7425075294125, + "fos_buckling": 0.49300971410753824, + "fos_yielding": 1.531003841549415, + "deflection": 0.00955458377907789, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_1726", + "improvement_over_parent": null + }, + "node_1728": { + "node_id": "node_1728", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 300.12 kg\n Factor of Safety: 1.19\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.1249049848916, + "fos_buckling": 1.1884244477736667, + "fos_yielding": 1.534866172039984, + "deflection": 0.005220273737740454, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_1727", + "improvement_over_parent": null + }, + "node_1729": { + "node_id": "node_1729", + "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0073)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 310.36 kg\n Factor of Safety: 1.19\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 310.3559991075791, + "fos_buckling": 1.1882050067645802, + "fos_yielding": 1.5345827610227873, + "deflection": 0.005142445206708725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.486)" + }, + "parent_node_id": "node_1728", + "improvement_over_parent": null + }, + "node_1730": { + "node_id": "node_1730", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1729", + "improvement_over_parent": null + }, + "node_1731": { + "node_id": "node_1731", + "content": "INITIAL DESIGN (Trace 244)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0015)]\n\nPerformance:\n Mass: 131.41 kg\n Factor of Safety: 0.61\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.4056911745837, + "fos_buckling": 0.6061692880855242, + "fos_yielding": 0.9621432402831471, + "deflection": 0.011668844076730326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1732": { + "node_id": "node_1732", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0017)]\n\nPerformance:\n Mass: 152.43 kg\n Factor of Safety: 0.70\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.4340762377783, + "fos_buckling": 0.6967039240583144, + "fos_yielding": 1.1154984973244613, + "deflection": 0.010075763966542016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_1731", + "improvement_over_parent": null + }, + "node_1733": { + "node_id": "node_1733", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n\nPerformance:\n Mass: 196.66 kg\n Factor of Safety: 0.88\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.66190632538095, + "fos_buckling": 0.8813705471516499, + "fos_yielding": 1.4374894035899068, + "deflection": 0.007836935631191555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_1732", + "improvement_over_parent": null + }, + "node_1734": { + "node_id": "node_1734", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 233.91 kg\n Factor of Safety: 1.03\n Max Deflection: 6.61e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.91289195394523, + "fos_buckling": 1.0308953629508604, + "fos_yielding": 1.7081049468029197, + "deflection": 0.006608111187122036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_1733", + "improvement_over_parent": null + }, + "node_1735": { + "node_id": "node_1735", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 295.62 kg\n Factor of Safety: 1.27\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.6163767351619, + "fos_buckling": 1.2665686938734368, + "fos_yielding": 2.15518521791159, + "deflection": 0.005254008899894771, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_1734", + "improvement_over_parent": null + }, + "node_1736": { + "node_id": "node_1736", + "content": "MODIFICATION: Increase 15 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.232932269184, + "fos_buckling": 1.5133291017940387, + "fos_yielding": 2.185618959697828, + "deflection": 0.005157788190159212, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.460)" + }, + "parent_node_id": "node_1735", + "improvement_over_parent": null + }, + "node_1737": { + "node_id": "node_1737", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1736", + "improvement_over_parent": null + }, + "node_1738": { + "node_id": "node_1738", + "content": "INITIAL DESIGN (Trace 245)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 247.04 kg\n Factor of Safety: 0.49\n Max Deflection: 7.56e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.03568803209487, + "fos_buckling": 0.48773563751759075, + "fos_yielding": 1.6353342225504697, + "deflection": 0.0075641154561913925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1739": { + "node_id": "node_1739", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n\nPerformance:\n Mass: 264.94 kg\n Factor of Safety: 1.11\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.93997396575963, + "fos_buckling": 1.1128899356768958, + "fos_yielding": 1.871795609829763, + "deflection": 0.005913793629874934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003903)" + }, + "parent_node_id": "node_1738", + "improvement_over_parent": null + }, + "node_1740": { + "node_id": "node_1740", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 300.63 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.62750826972723, + "fos_buckling": 1.2302678763528507, + "fos_yielding": 2.1221511003229425, + "deflection": 0.005225817817838452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_1739", + "improvement_over_parent": null + }, + "node_1741": { + "node_id": "node_1741", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.43176424886775, + "fos_buckling": 1.514133825845822, + "fos_yielding": 2.1870504409031257, + "deflection": 0.00515446941728922, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_1740", + "improvement_over_parent": null + }, + "node_1742": { + "node_id": "node_1742", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1741", + "improvement_over_parent": null + }, + "node_1743": { + "node_id": "node_1743", + "content": "INITIAL DESIGN (Trace 246)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1744": { + "node_id": "node_1744", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 236.07 kg\n Factor of Safety: 0.92\n Max Deflection: 5.53e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.0703354565809, + "fos_buckling": 0.9177803426930432, + "fos_yielding": 2.132563085641497, + "deflection": 5534244885935.888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_1743", + "improvement_over_parent": null + }, + "node_1745": { + "node_id": "node_1745", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 254.10 kg\n Factor of Safety: 0.92\n Max Deflection: 4.52e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.1021021418106, + "fos_buckling": 0.9177803426930432, + "fos_yielding": 2.37771352310307, + "deflection": 4524075972113.548, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_1744", + "improvement_over_parent": null + }, + "node_1746": { + "node_id": "node_1746", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 280.19 kg\n Factor of Safety: 1.13\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.1898944245868, + "fos_buckling": 1.134585988619846, + "fos_yielding": 2.2250586948322177, + "deflection": 0.006025332252891562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_1745", + "improvement_over_parent": null + }, + "node_1747": { + "node_id": "node_1747", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41341480573476, + "fos_buckling": 1.5140700894372403, + "fos_yielding": 2.186946059409426, + "deflection": 0.00515472329304524, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_1746", + "improvement_over_parent": null + }, + "node_1748": { + "node_id": "node_1748", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1747", + "improvement_over_parent": null + }, + "node_1749": { + "node_id": "node_1749", + "content": "INITIAL DESIGN (Trace 247)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 242.40 kg\n Factor of Safety: 1.00\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.40432893048998, + "fos_buckling": 1.0025670638131505, + "fos_yielding": 1.9656518613779124, + "deflection": 0.0071021379756646425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1750": { + "node_id": "node_1750", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 269.38 kg\n Factor of Safety: 1.09\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.38302785677377, + "fos_buckling": 1.0920414062898545, + "fos_yielding": 2.182519539053726, + "deflection": 0.006402173769273434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_1749", + "improvement_over_parent": null + }, + "node_1751": { + "node_id": "node_1751", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 293.72 kg\n Factor of Safety: 1.15\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.72415586215067, + "fos_buckling": 1.1533991855683248, + "fos_yielding": 2.179836856987056, + "deflection": 0.005533930648308523, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_1750", + "improvement_over_parent": null + }, + "node_1752": { + "node_id": "node_1752", + "content": "MODIFICATION: Increase 4 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2744698873253, + "fos_buckling": 1.513595517149575, + "fos_yielding": 2.1859405985681537, + "deflection": 0.005157261360797137, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.634)" + }, + "parent_node_id": "node_1751", + "improvement_over_parent": null + }, + "node_1753": { + "node_id": "node_1753", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1752", + "improvement_over_parent": null + }, + "node_1754": { + "node_id": "node_1754", + "content": "INITIAL DESIGN (Trace 248)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 0.75\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.5411376313202, + "fos_buckling": 0.7541353834462169, + "fos_yielding": 1.7391651530583827, + "deflection": 0.00693971282881217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1755": { + "node_id": "node_1755", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n\nPerformance:\n Mass: 240.58 kg\n Factor of Safety: 1.25\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.5811064962576, + "fos_buckling": 1.2541861049669998, + "fos_yielding": 1.758718977914045, + "deflection": 0.006421850821986291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002780)" + }, + "parent_node_id": "node_1754", + "improvement_over_parent": null + }, + "node_1756": { + "node_id": "node_1756", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 299.16 kg\n Factor of Safety: 1.51\n Max Deflection: 5.19e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 299.1614742971146, + "fos_buckling": 1.50722959429137, + "fos_yielding": 2.18356651752408, + "deflection": 0.005187775372130366, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_1755", + "improvement_over_parent": null + }, + "node_1757": { + "node_id": "node_1757", + "content": "MODIFICATION: Increase 12 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0061)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 304.72 kg\n Factor of Safety: 1.52\n Max Deflection: 5.14e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 304.7246500728784, + "fos_buckling": 1.517594734703713, + "fos_yielding": 2.1813657950114385, + "deflection": 0.0051394314348787214, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.271)" + }, + "parent_node_id": "node_1756", + "improvement_over_parent": null + }, + "node_1758": { + "node_id": "node_1758", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1757", + "improvement_over_parent": null + }, + "node_1759": { + "node_id": "node_1759", + "content": "INITIAL DESIGN (Trace 249)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 246.10 kg\n Factor of Safety: 0.41\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.0978191845059, + "fos_buckling": 0.4107000894679453, + "fos_yielding": 1.246538543065117, + "deflection": 0.011927684254755952, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1760": { + "node_id": "node_1760", + "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 247.70 kg\n Factor of Safety: 0.41\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.70036193722416, + "fos_buckling": 0.4107000894679454, + "fos_yielding": 1.2634869426844562, + "deflection": 0.01187189060559725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.218)" + }, + "parent_node_id": "node_1759", + "improvement_over_parent": null + }, + "node_1761": { + "node_id": "node_1761", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n\nPerformance:\n Mass: 271.31 kg\n Factor of Safety: 1.40\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 271.30938418926104, + "fos_buckling": 1.3963204598806451, + "fos_yielding": 1.9928834583120425, + "deflection": 0.005713674781262277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004888)" + }, + "parent_node_id": "node_1760", + "improvement_over_parent": null + }, + "node_1762": { + "node_id": "node_1762", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 299.73 kg\n Factor of Safety: 1.51\n Max Deflection: 5.18e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 299.73152876578166, + "fos_buckling": 1.5137893284260144, + "fos_yielding": 2.199965088583711, + "deflection": 0.005183428060314067, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_1761", + "improvement_over_parent": null + }, + "node_1763": { + "node_id": "node_1763", + "content": "MODIFICATION: Increase 14 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 306.05 kg\n Factor of Safety: 1.51\n Max Deflection: 5.13e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 306.0452502248549, + "fos_buckling": 1.513201138567008, + "fos_yielding": 2.2159080057669853, + "deflection": 0.005129030154223789, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.277)" + }, + "parent_node_id": "node_1762", + "improvement_over_parent": null + }, + "node_1764": { + "node_id": "node_1764", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1763", + "improvement_over_parent": null + }, + "node_1765": { + "node_id": "node_1765", + "content": "INITIAL DESIGN (Trace 250)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 155.02 kg\n Factor of Safety: 0.78\n Max Deflection: 9.88e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.02367225829408, + "fos_buckling": 0.7807912136983297, + "fos_yielding": 0.9657400340007773, + "deflection": 0.009883337268171057, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1766": { + "node_id": "node_1766", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 187.06 kg\n Factor of Safety: 0.93\n Max Deflection: 8.21e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.0623460479312, + "fos_buckling": 0.9289286568318668, + "fos_yielding": 1.1662399258486795, + "deflection": 0.008211534806706337, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_1765", + "improvement_over_parent": null + }, + "node_1767": { + "node_id": "node_1767", + "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 188.19 kg\n Factor of Safety: 1.03\n Max Deflection: 8.17e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.1884882322537, + "fos_buckling": 1.0254601525617852, + "fos_yielding": 1.3949079368186899, + "deflection": 0.008169201015919872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.214)" + }, + "parent_node_id": "node_1766", + "improvement_over_parent": null + }, + "node_1768": { + "node_id": "node_1768", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 240.26 kg\n Factor of Safety: 1.27\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.25586055988828, + "fos_buckling": 1.265177297942083, + "fos_yielding": 1.7783060584877075, + "deflection": 0.00642524416217285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_1767", + "improvement_over_parent": null + }, + "node_1769": { + "node_id": "node_1769", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 298.54 kg\n Factor of Safety: 1.51\n Max Deflection: 5.19e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 298.53939416271425, + "fos_buckling": 1.5088306285076754, + "fos_yielding": 2.2061081433959653, + "deflection": 0.005194705352742695, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_1768", + "improvement_over_parent": null + }, + "node_1770": { + "node_id": "node_1770", + "content": "MODIFICATION: Increase 14 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.36472871852567, + "fos_buckling": 1.5138552481666714, + "fos_yielding": 2.1874024615777428, + "deflection": 0.005155580566309678, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.401)" + }, + "parent_node_id": "node_1769", + "improvement_over_parent": null + }, + "node_1771": { + "node_id": "node_1771", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1770", + "improvement_over_parent": null + }, + "node_1772": { + "node_id": "node_1772", + "content": "INITIAL DESIGN (Trace 251)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 187.94 kg\n Factor of Safety: 0.68\n Max Deflection: 9.40e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.93529184009196, + "fos_buckling": 0.6767321920750614, + "fos_yielding": 1.5259024953053346, + "deflection": 0.009401203957413357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1773": { + "node_id": "node_1773", + "content": "MODIFICATION: Increase 10 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 192.46 kg\n Factor of Safety: 0.68\n Max Deflection: 9.40e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.46055658775072, + "fos_buckling": 0.6774384677049602, + "fos_yielding": 1.5258143125707273, + "deflection": 0.009404191473988806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.499)" + }, + "parent_node_id": "node_1772", + "improvement_over_parent": null + }, + "node_1774": { + "node_id": "node_1774", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 216.52 kg\n Factor of Safety: 0.75\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.52171171932392, + "fos_buckling": 0.7521395911544542, + "fos_yielding": 1.7154662565645307, + "deflection": 0.008371473629653558, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_1773", + "improvement_over_parent": null + }, + "node_1775": { + "node_id": "node_1775", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 276.16 kg\n Factor of Safety: 0.93\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.15937955286284, + "fos_buckling": 0.9275235721692242, + "fos_yielding": 2.18442296943627, + "deflection": 0.0065876057071135264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_1774", + "improvement_over_parent": null + }, + "node_1776": { + "node_id": "node_1776", + "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.58 kg\n Factor of Safety: 0.93\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.5795709280497, + "fos_buckling": 0.9278409434896943, + "fos_yielding": 2.161053672753671, + "deflection": 0.006529763916466697, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.587)" + }, + "parent_node_id": "node_1775", + "improvement_over_parent": null + }, + "node_1777": { + "node_id": "node_1777", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 286.15 kg\n Factor of Safety: 1.09\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.1537705930259, + "fos_buckling": 1.0902596984600113, + "fos_yielding": 2.188609901938264, + "deflection": 0.006007495278152257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1776", + "improvement_over_parent": null + }, + "node_1778": { + "node_id": "node_1778", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.27172582460037, + "fos_buckling": 1.51355892869044, + "fos_yielding": 2.1858910243415512, + "deflection": 0.005157094830392273, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_1777", + "improvement_over_parent": null + }, + "node_1779": { + "node_id": "node_1779", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1778", + "improvement_over_parent": null + }, + "node_1780": { + "node_id": "node_1780", + "content": "INITIAL DESIGN (Trace 252)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 275.66 kg\n Factor of Safety: 1.09\n Max Deflection: 6.09e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.65802859981136, + "fos_buckling": 1.0909840160185256, + "fos_yielding": 1.9511033434077234, + "deflection": 0.006094437793702399, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1781": { + "node_id": "node_1781", + "content": "MODIFICATION: Increase 5 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 279.12 kg\n Factor of Safety: 1.09\n Max Deflection: 6.09e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.11775139457546, + "fos_buckling": 1.090984016018526, + "fos_yielding": 2.1612446651337236, + "deflection": 0.006094437793702399, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.626)" + }, + "parent_node_id": "node_1780", + "improvement_over_parent": null + }, + "node_1782": { + "node_id": "node_1782", + "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 286.28 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.27758708007127, + "fos_buckling": 1.090694434758374, + "fos_yielding": 2.1896027536216978, + "deflection": 0.006004750777370669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.422)" + }, + "parent_node_id": "node_1781", + "improvement_over_parent": null + }, + "node_1783": { + "node_id": "node_1783", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3955423116457, + "fos_buckling": 1.5140617814842527, + "fos_yielding": 2.1868820927238395, + "deflection": 0.005154927593278163, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_1782", + "improvement_over_parent": null + }, + "node_1784": { + "node_id": "node_1784", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1783", + "improvement_over_parent": null + }, + "node_1785": { + "node_id": "node_1785", + "content": "INITIAL DESIGN (Trace 253)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 275.65 kg\n Factor of Safety: 1.08\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.64949629933545, + "fos_buckling": 1.0781133413616504, + "fos_yielding": 2.3950779160317697, + "deflection": 0.00595910056000615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1786": { + "node_id": "node_1786", + "content": "MODIFICATION: Increase 10 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.35 kg\n Factor of Safety: 1.08\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.35002406721014, + "fos_buckling": 1.0775083474298652, + "fos_yielding": 2.3950779160317692, + "deflection": 0.00585947434892231, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.508)" + }, + "parent_node_id": "node_1785", + "improvement_over_parent": null + }, + "node_1787": { + "node_id": "node_1787", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 296.04 kg\n Factor of Safety: 1.26\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.03839532569873, + "fos_buckling": 1.2596009618692392, + "fos_yielding": 2.182730937607587, + "deflection": 0.0054161523875243004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_1786", + "improvement_over_parent": null + }, + "node_1788": { + "node_id": "node_1788", + "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3963198220374, + "fos_buckling": 1.5139428780670126, + "fos_yielding": 2.1869452100349114, + "deflection": 0.005154908839631139, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.431)" + }, + "parent_node_id": "node_1787", + "improvement_over_parent": null + }, + "node_1789": { + "node_id": "node_1789", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1788", + "improvement_over_parent": null + }, + "node_1790": { + "node_id": "node_1790", + "content": "INITIAL DESIGN (Trace 254)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 229.98 kg\n Factor of Safety: 1.12\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.9791486060583, + "fos_buckling": 1.120679230800033, + "fos_yielding": 1.7044388383287132, + "deflection": 0.006712952882028481, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1791": { + "node_id": "node_1791", + "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 233.71 kg\n Factor of Safety: 1.21\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.70903281504303, + "fos_buckling": 1.209483899450594, + "fos_yielding": 1.702474455445883, + "deflection": 0.006643760623308625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.279)" + }, + "parent_node_id": "node_1790", + "improvement_over_parent": null + }, + "node_1792": { + "node_id": "node_1792", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.62 kg\n Factor of Safety: 1.49\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.62297106331795, + "fos_buckling": 1.4896958317284295, + "fos_yielding": 2.1861538283907693, + "deflection": 0.0051915320070335625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_1791", + "improvement_over_parent": null + }, + "node_1793": { + "node_id": "node_1793", + "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.29305165739044, + "fos_buckling": 1.5135879477631569, + "fos_yielding": 2.186005313112387, + "deflection": 0.005156813334160765, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.203)" + }, + "parent_node_id": "node_1792", + "improvement_over_parent": null + }, + "node_1794": { + "node_id": "node_1794", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1793", + "improvement_over_parent": null + }, + "node_1795": { + "node_id": "node_1795", + "content": "INITIAL DESIGN (Trace 255)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 278.94 kg\n Factor of Safety: 1.09\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.9403491414169, + "fos_buckling": 1.091214908041895, + "fos_yielding": 2.1969520820479445, + "deflection": 0.006017201863981641, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1796": { + "node_id": "node_1796", + "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.77 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.7697768238069, + "fos_buckling": 1.0911408704519159, + "fos_yielding": 2.1897455684508804, + "deflection": 0.006002254282724536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.185)" + }, + "parent_node_id": "node_1795", + "improvement_over_parent": null + }, + "node_1797": { + "node_id": "node_1797", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 297.89 kg\n Factor of Safety: 1.47\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.8877320553814, + "fos_buckling": 1.46927230108039, + "fos_yielding": 2.1872162975045066, + "deflection": 0.00522070021420284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_1796", + "improvement_over_parent": null + }, + "node_1798": { + "node_id": "node_1798", + "content": "MODIFICATION: Increase 11 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0059)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.66 kg\n Factor of Safety: 1.47\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.6600159975594, + "fos_buckling": 1.4663713984937508, + "fos_yielding": 2.1888875603243365, + "deflection": 0.0051912069929546155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.323)" + }, + "parent_node_id": "node_1797", + "improvement_over_parent": null + }, + "node_1799": { + "node_id": "node_1799", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1798", + "improvement_over_parent": null + }, + "node_1800": { + "node_id": "node_1800", + "content": "INITIAL DESIGN (Trace 256)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 167.58 kg\n Factor of Safety: 0.30\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.57808188020567, + "fos_buckling": 0.2991215881470124, + "fos_yielding": 0.8961793253158701, + "deflection": 0.01735970489183593, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1801": { + "node_id": "node_1801", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n\nPerformance:\n Mass: 183.86 kg\n Factor of Safety: 0.99\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.86478152346984, + "fos_buckling": 0.9850228495939936, + "fos_yielding": 1.3687087201875459, + "deflection": 0.008720922990421516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003285)" + }, + "parent_node_id": "node_1800", + "improvement_over_parent": null + }, + "node_1802": { + "node_id": "node_1802", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n\nPerformance:\n Mass: 238.35 kg\n Factor of Safety: 1.23\n Max Deflection: 6.75e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.34552237329876, + "fos_buckling": 1.2338273522956944, + "fos_yielding": 1.7713893794513855, + "deflection": 0.006750892317443272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_1801", + "improvement_over_parent": null + }, + "node_1803": { + "node_id": "node_1803", + "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n\nPerformance:\n Mass: 245.47 kg\n Factor of Safety: 1.27\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.47371647170525, + "fos_buckling": 1.2718409179584738, + "fos_yielding": 1.771672382210489, + "deflection": 0.006343468800365025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.565)" + }, + "parent_node_id": "node_1802", + "improvement_over_parent": null + }, + "node_1804": { + "node_id": "node_1804", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.82 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.81661594158237, + "fos_buckling": 1.5157272620801814, + "fos_yielding": 2.189839044102814, + "deflection": 0.005148123119974829, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_1803", + "improvement_over_parent": null + }, + "node_1805": { + "node_id": "node_1805", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1804", + "improvement_over_parent": null + }, + "node_1806": { + "node_id": "node_1806", + "content": "INITIAL DESIGN (Trace 257)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 237.90 kg\n Factor of Safety: 0.84\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.8954357568559, + "fos_buckling": 0.8361620106457741, + "fos_yielding": 1.964890502724617, + "deflection": 0.008734492735912674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1807": { + "node_id": "node_1807", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 242.65 kg\n Factor of Safety: 0.95\n Max Deflection: 6.78e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.64926981861606, + "fos_buckling": 0.9484028960455392, + "fos_yielding": 2.0431965307664237, + "deflection": 0.0067793508222791805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002796)" + }, + "parent_node_id": "node_1806", + "improvement_over_parent": null + }, + "node_1808": { + "node_id": "node_1808", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n\nPerformance:\n Mass: 253.47 kg\n Factor of Safety: 1.33\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.47290972789102, + "fos_buckling": 1.3258542028329532, + "fos_yielding": 1.8704068821699003, + "deflection": 0.006301381260056259, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003197)" + }, + "parent_node_id": "node_1807", + "improvement_over_parent": null + }, + "node_1809": { + "node_id": "node_1809", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 297.17 kg\n Factor of Safety: 1.51\n Max Deflection: 5.39e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 297.16573095685857, + "fos_buckling": 1.509835552902098, + "fos_yielding": 2.190027960320899, + "deflection": 0.005390414401773552, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_1808", + "improvement_over_parent": null + }, + "node_1810": { + "node_id": "node_1810", + "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.30 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.29843219072603, + "fos_buckling": 1.513586791372467, + "fos_yielding": 2.1860629907520637, + "deflection": 0.005156644205734181, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.319)" + }, + "parent_node_id": "node_1809", + "improvement_over_parent": null + }, + "node_1811": { + "node_id": "node_1811", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1810", + "improvement_over_parent": null + }, + "node_1812": { + "node_id": "node_1812", + "content": "INITIAL DESIGN (Trace 258)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0016)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 149.57 kg\n Factor of Safety: 0.31\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.56752607708844, + "fos_buckling": 0.3122889258624046, + "fos_yielding": 0.9838372818339314, + "deflection": 0.01622960481307077, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1813": { + "node_id": "node_1813", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 179.31 kg\n Factor of Safety: 0.37\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.31014874203606, + "fos_buckling": 0.3661858181726134, + "fos_yielding": 1.1775701120340643, + "deflection": 0.01356965139756997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_1812", + "improvement_over_parent": null + }, + "node_1814": { + "node_id": "node_1814", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 199.59 kg\n Factor of Safety: 0.40\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.59284252237862, + "fos_buckling": 0.40140559165765904, + "fos_yielding": 1.3093132375747976, + "deflection": 0.012210449114384547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_1813", + "improvement_over_parent": null + }, + "node_1815": { + "node_id": "node_1815", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 256.50 kg\n Factor of Safety: 0.49\n Max Deflection: 9.54e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.5040519932626, + "fos_buckling": 0.49364457003995454, + "fos_yielding": 1.6773407924468888, + "deflection": 0.009544741275749485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_1814", + "improvement_over_parent": null + }, + "node_1816": { + "node_id": "node_1816", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 292.89 kg\n Factor of Safety: 1.46\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.8864494487417, + "fos_buckling": 1.455340508238873, + "fos_yielding": 2.19972590243885, + "deflection": 0.005239164918184059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_1815", + "improvement_over_parent": null + }, + "node_1817": { + "node_id": "node_1817", + "content": "MODIFICATION: Increase 14 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0066)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 300.02 kg\n Factor of Safety: 1.46\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.0195745191316, + "fos_buckling": 1.4640720013184512, + "fos_yielding": 2.2170600321716027, + "deflection": 0.005179588952597062, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.314)" + }, + "parent_node_id": "node_1816", + "improvement_over_parent": null + }, + "node_1818": { + "node_id": "node_1818", + "content": "MODIFICATION: Increase 12 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0073)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0066)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 310.60 kg\n Factor of Safety: 1.52\n Max Deflection: 5.10e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 310.6011314266752, + "fos_buckling": 1.5210426509267085, + "fos_yielding": 2.213518397314912, + "deflection": 0.005095217615884009, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.529)" + }, + "parent_node_id": "node_1817", + "improvement_over_parent": null + }, + "node_1819": { + "node_id": "node_1819", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1818", + "improvement_over_parent": null + }, + "node_1820": { + "node_id": "node_1820", + "content": "INITIAL DESIGN (Trace 259)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 223.83 kg\n Factor of Safety: 0.45\n Max Deflection: 9.19e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.82636425010375, + "fos_buckling": 0.45496631129796916, + "fos_yielding": 1.522988817061959, + "deflection": 0.009192817744835957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1821": { + "node_id": "node_1821", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 228.41 kg\n Factor of Safety: 0.45\n Max Deflection: 8.10e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.41303680171174, + "fos_buckling": 0.45466004602720583, + "fos_yielding": 1.5227561294050318, + "deflection": 0.00810372180688309, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002690)" + }, + "parent_node_id": "node_1820", + "improvement_over_parent": null + }, + "node_1822": { + "node_id": "node_1822", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 277.50 kg\n Factor of Safety: 0.53\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.5040868264384, + "fos_buckling": 0.5317616337707808, + "fos_yielding": 1.8465606738558, + "deflection": 0.006706674280469471, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1821", + "improvement_over_parent": null + }, + "node_1823": { + "node_id": "node_1823", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2947143688524, + "fos_buckling": 1.5135510929924723, + "fos_yielding": 2.1860258419042835, + "deflection": 0.0051568040510212776, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_1822", + "improvement_over_parent": null + }, + "node_1824": { + "node_id": "node_1824", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1823", + "improvement_over_parent": null + }, + "node_1825": { + "node_id": "node_1825", + "content": "INITIAL DESIGN (Trace 260)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 187.45 kg\n Factor of Safety: 1.05\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.45032554471183, + "fos_buckling": 1.0478977418949802, + "fos_yielding": 1.4187075208823463, + "deflection": 0.008188525853044047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1826": { + "node_id": "node_1826", + "content": "MODIFICATION: Increase 14 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 189.16 kg\n Factor of Safety: 1.05\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.157983288306, + "fos_buckling": 1.048026630820761, + "fos_yielding": 1.409172297350117, + "deflection": 0.008128680744555349, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.255)" + }, + "parent_node_id": "node_1825", + "improvement_over_parent": null + }, + "node_1827": { + "node_id": "node_1827", + "content": "MODIFICATION: Increase 14 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 192.13 kg\n Factor of Safety: 1.01\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.12977499014042, + "fos_buckling": 1.0083694357286401, + "fos_yielding": 1.3975560582354871, + "deflection": 0.008055668834662858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.362)" + }, + "parent_node_id": "node_1826", + "improvement_over_parent": null + }, + "node_1828": { + "node_id": "node_1828", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 249.04 kg\n Factor of Safety: 1.26\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.0441396330031, + "fos_buckling": 1.2555711428492478, + "fos_yielding": 1.8090183781892204, + "deflection": 0.006241876654387902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_1827", + "improvement_over_parent": null + }, + "node_1829": { + "node_id": "node_1829", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.64 kg\n Factor of Safety: 1.45\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.63990902843346, + "fos_buckling": 1.4489286859114274, + "fos_yielding": 2.159428937151852, + "deflection": 0.005242165022411833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_1828", + "improvement_over_parent": null + }, + "node_1830": { + "node_id": "node_1830", + "content": "MODIFICATION: Increase 2 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4887964333119, + "fos_buckling": 1.5143620406891352, + "fos_yielding": 2.187434234428539, + "deflection": 0.00515353900708838, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.522)" + }, + "parent_node_id": "node_1829", + "improvement_over_parent": null + }, + "node_1831": { + "node_id": "node_1831", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1830", + "improvement_over_parent": null + }, + "node_1832": { + "node_id": "node_1832", + "content": "INITIAL DESIGN (Trace 261)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 171.08 kg\n Factor of Safety: 0.76\n Max Deflection: 9.71e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.07520492644215, + "fos_buckling": 0.7604058808196142, + "fos_yielding": 1.5709899523815514, + "deflection": 0.009707494168384803, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1833": { + "node_id": "node_1833", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 209.92 kg\n Factor of Safety: 0.90\n Max Deflection: 7.94e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.91972110900508, + "fos_buckling": 0.9044675594085034, + "fos_yielding": 1.9272684518316734, + "deflection": 0.00793854422398775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_1832", + "improvement_over_parent": null + }, + "node_1834": { + "node_id": "node_1834", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 224.41 kg\n Factor of Safety: 0.91\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.41009705553031, + "fos_buckling": 0.9122105388374546, + "fos_yielding": 1.7632748617149814, + "deflection": 0.007430909073052995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003328)" + }, + "parent_node_id": "node_1833", + "improvement_over_parent": null + }, + "node_1835": { + "node_id": "node_1835", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n\nPerformance:\n Mass: 243.97 kg\n Factor of Safety: 1.27\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.97299959670931, + "fos_buckling": 1.2652386562314875, + "fos_yielding": 1.761072635287094, + "deflection": 0.006381420629132779, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003867)" + }, + "parent_node_id": "node_1834", + "improvement_over_parent": null + }, + "node_1836": { + "node_id": "node_1836", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.74 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.74089436537344, + "fos_buckling": 1.515375910922836, + "fos_yielding": 2.189505796289352, + "deflection": 0.005149112228193134, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_1835", + "improvement_over_parent": null + }, + "node_1837": { + "node_id": "node_1837", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1836", + "improvement_over_parent": null + }, + "node_1838": { + "node_id": "node_1838", + "content": "INITIAL DESIGN (Trace 262)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n\nPerformance:\n Mass: 231.55 kg\n Factor of Safety: 0.49\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.54752965230358, + "fos_buckling": 0.4894749481341254, + "fos_yielding": 1.6623681443290197, + "deflection": 0.010564108582227255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1839": { + "node_id": "node_1839", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 257.68 kg\n Factor of Safety: 0.53\n Max Deflection: 9.52e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.6754710863797, + "fos_buckling": 0.5330031305312369, + "fos_yielding": 1.8480486431822223, + "deflection": 0.009522733648220184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_1838", + "improvement_over_parent": null + }, + "node_1840": { + "node_id": "node_1840", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 260.48 kg\n Factor of Safety: 0.53\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.4797270655202, + "fos_buckling": 0.5325667679557807, + "fos_yielding": 1.8477039388882421, + "deflection": 0.007285144841254334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_1839", + "improvement_over_parent": null + }, + "node_1841": { + "node_id": "node_1841", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 286.27 kg\n Factor of Safety: 1.09\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.27035460793417, + "fos_buckling": 1.0906078563599169, + "fos_yielding": 2.189454126642217, + "deflection": 0.00600512759075901, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_1840", + "improvement_over_parent": null + }, + "node_1842": { + "node_id": "node_1842", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3883098395086, + "fos_buckling": 1.513954735242259, + "fos_yielding": 2.1867333603806065, + "deflection": 0.005155203656978264, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_1841", + "improvement_over_parent": null + }, + "node_1843": { + "node_id": "node_1843", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1842", + "improvement_over_parent": null + }, + "node_1844": { + "node_id": "node_1844", + "content": "INITIAL DESIGN (Trace 263)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 249.89 kg\n Factor of Safety: 0.83\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.89178673229426, + "fos_buckling": 0.828236514558002, + "fos_yielding": 1.3531319892143299, + "deflection": 0.006333445293520011, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1845": { + "node_id": "node_1845", + "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 251.09 kg\n Factor of Safety: 0.83\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.09009199804453, + "fos_buckling": 0.8280865375000596, + "fos_yielding": 1.3531026575794787, + "deflection": 0.006309724519308576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.342)" + }, + "parent_node_id": "node_1844", + "improvement_over_parent": null + }, + "node_1846": { + "node_id": "node_1846", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n\nPerformance:\n Mass: 269.32 kg\n Factor of Safety: 1.07\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.31940502075736, + "fos_buckling": 1.0740970690017642, + "fos_yielding": 1.3696215823400901, + "deflection": 0.005804476005054489, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003980)" + }, + "parent_node_id": "node_1845", + "improvement_over_parent": null + }, + "node_1847": { + "node_id": "node_1847", + "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n\nPerformance:\n Mass: 272.29 kg\n Factor of Safety: 1.39\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.2925918540283, + "fos_buckling": 1.386591420839974, + "fos_yielding": 1.9652828639806195, + "deflection": 0.0057303980532554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.493)" + }, + "parent_node_id": "node_1846", + "improvement_over_parent": null + }, + "node_1848": { + "node_id": "node_1848", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.51270296201983, + "fos_buckling": 1.5144117767693928, + "fos_yielding": 2.1890402501966983, + "deflection": 0.005153172709416512, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_1847", + "improvement_over_parent": null + }, + "node_1849": { + "node_id": "node_1849", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1848", + "improvement_over_parent": null + }, + "node_1850": { + "node_id": "node_1850", + "content": "INITIAL DESIGN (Trace 264)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1851": { + "node_id": "node_1851", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 209.36 kg\n Factor of Safety: 0.76\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.36271797798025, + "fos_buckling": 0.7595732928670034, + "fos_yielding": 1.751007701489561, + "deflection": 0.008061174542980795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002642)" + }, + "parent_node_id": "node_1850", + "improvement_over_parent": null + }, + "node_1852": { + "node_id": "node_1852", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 225.80 kg\n Factor of Safety: 0.92\n Max Deflection: 7.39e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.79731859279406, + "fos_buckling": 0.916929055142067, + "fos_yielding": 1.774010952155012, + "deflection": 0.007386293965020726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003558)" + }, + "parent_node_id": "node_1851", + "improvement_over_parent": null + }, + "node_1853": { + "node_id": "node_1853", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n\nPerformance:\n Mass: 245.49 kg\n Factor of Safety: 1.27\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.49183717521564, + "fos_buckling": 1.2718837065645558, + "fos_yielding": 1.77179280187636, + "deflection": 0.00634291120762892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003895)" + }, + "parent_node_id": "node_1852", + "improvement_over_parent": null + }, + "node_1854": { + "node_id": "node_1854", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4004490398407, + "fos_buckling": 1.5140234201224825, + "fos_yielding": 2.1868486602297112, + "deflection": 0.005154944067178449, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_1853", + "improvement_over_parent": null + }, + "node_1855": { + "node_id": "node_1855", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1854", + "improvement_over_parent": null + }, + "node_1856": { + "node_id": "node_1856", + "content": "INITIAL DESIGN (Trace 265)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 285.14 kg\n Factor of Safety: 0.85\n Max Deflection: 6.96e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.1356292254018, + "fos_buckling": 0.8497645005217046, + "fos_yielding": 2.1566225781929176, + "deflection": 0.00696026579774571, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1857": { + "node_id": "node_1857", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 288.98 kg\n Factor of Safety: 1.28\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.97683543737406, + "fos_buckling": 1.2770855628962854, + "fos_yielding": 2.183191536402627, + "deflection": 0.005491849247803679, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002225)" + }, + "parent_node_id": "node_1856", + "improvement_over_parent": null + }, + "node_1858": { + "node_id": "node_1858", + "content": "MODIFICATION: Increase 12 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0065)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 296.07 kg\n Factor of Safety: 1.28\n Max Deflection: 5.43e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.06882066684415, + "fos_buckling": 1.2796292189372398, + "fos_yielding": 2.1804545908289783, + "deflection": 0.0054254291718295825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.348)" + }, + "parent_node_id": "node_1857", + "improvement_over_parent": null + }, + "node_1859": { + "node_id": "node_1859", + "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0065)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 297.27 kg\n Factor of Safety: 1.28\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.2682885401853, + "fos_buckling": 1.2807234811770665, + "fos_yielding": 2.186688780587646, + "deflection": 0.005415598304569184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.495)" + }, + "parent_node_id": "node_1858", + "improvement_over_parent": null + }, + "node_1860": { + "node_id": "node_1860", + "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0064)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0065)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 303.71 kg\n Factor of Safety: 1.31\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.70797288627574, + "fos_buckling": 1.3082689807442238, + "fos_yielding": 2.1864170176520386, + "deflection": 0.005353304565642823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.300)" + }, + "parent_node_id": "node_1859", + "improvement_over_parent": null + }, + "node_1861": { + "node_id": "node_1861", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1860", + "improvement_over_parent": null + }, + "node_1862": { + "node_id": "node_1862", + "content": "INITIAL DESIGN (Trace 266)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n\nPerformance:\n Mass: 160.93 kg\n Factor of Safety: 0.49\n Max Deflection: 6.27e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.9338082189685, + "fos_buckling": 0.4876096891191657, + "fos_yielding": 1.499216345581899, + "deflection": 6266271018823.342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1863": { + "node_id": "node_1863", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n\nPerformance:\n Mass: 169.68 kg\n Factor of Safety: 0.31\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.67922589680077, + "fos_buckling": 0.3106972351524781, + "fos_yielding": 1.2788526105338547, + "deflection": 0.012010193692971158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002544)" + }, + "parent_node_id": "node_1862", + "improvement_over_parent": null + }, + "node_1864": { + "node_id": "node_1864", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n\nPerformance:\n Mass: 221.05 kg\n Factor of Safety: 0.39\n Max Deflection: 9.24e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.05470297974426, + "fos_buckling": 0.3886898909514765, + "fos_yielding": 1.6623665655948394, + "deflection": 0.009242714502376674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1863", + "improvement_over_parent": null + }, + "node_1865": { + "node_id": "node_1865", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 246.45 kg\n Factor of Safety: 0.42\n Max Deflection: 8.30e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.44945441578992, + "fos_buckling": 0.4245389864848175, + "fos_yielding": 1.851284013664086, + "deflection": 0.008300537119659678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_1864", + "improvement_over_parent": null + }, + "node_1866": { + "node_id": "node_1866", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 269.67 kg\n Factor of Safety: 0.53\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.6729747969379, + "fos_buckling": 0.5327108544793894, + "fos_yielding": 1.8491384441843952, + "deflection": 0.00815864208666295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_1865", + "improvement_over_parent": null + }, + "node_1867": { + "node_id": "node_1867", + "content": "MODIFICATION: Increase 14 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0066)]\n\nPerformance:\n Mass: 277.49 kg\n Factor of Safety: 0.53\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.48839817296886, + "fos_buckling": 0.5318008919397151, + "fos_yielding": 1.8484175125840507, + "deflection": 0.008192861551644675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.385)" + }, + "parent_node_id": "node_1866", + "improvement_over_parent": null + }, + "node_1868": { + "node_id": "node_1868", + "content": "MODIFICATION: Increase 14 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0090)]\n\nPerformance:\n Mass: 286.61 kg\n Factor of Safety: 0.53\n Max Deflection: 8.22e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.60759686993913, + "fos_buckling": 0.5307430507979535, + "fos_yielding": 1.8475770248950643, + "deflection": 0.008223306638961534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.357)" + }, + "parent_node_id": "node_1867", + "improvement_over_parent": null + }, + "node_1869": { + "node_id": "node_1869", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0090)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 312.40 kg\n Factor of Safety: 1.46\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 312.3982244123531, + "fos_buckling": 1.4577672392456906, + "fos_yielding": 2.2199255648262812, + "deflection": 0.005135445968982442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_1868", + "improvement_over_parent": null + }, + "node_1870": { + "node_id": "node_1870", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1869", + "improvement_over_parent": null + }, + "node_1871": { + "node_id": "node_1871", + "content": "INITIAL DESIGN (Trace 267)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 187.49 kg\n Factor of Safety: 0.09\n Max Deflection: 4.41e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.4875345464993, + "fos_buckling": 0.09270258737542209, + "fos_yielding": 0.5131109805122253, + "deflection": 44070661931107.46, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1872": { + "node_id": "node_1872", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 241.80 kg\n Factor of Safety: 0.36\n Max Deflection: 2.32e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.80240880091407, + "fos_buckling": 0.36214057398318295, + "fos_yielding": 0.5944283807757674, + "deflection": 23244247031278.965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_1871", + "improvement_over_parent": null + }, + "node_1873": { + "node_id": "node_1873", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 267.59 kg\n Factor of Safety: 1.08\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.59303634332804, + "fos_buckling": 1.0812593806852095, + "fos_yielding": 2.3959993308532215, + "deflection": 0.006314409072477575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_1872", + "improvement_over_parent": null + }, + "node_1874": { + "node_id": "node_1874", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 280.28 kg\n Factor of Safety: 1.13\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.2814076018166, + "fos_buckling": 1.1349456311992516, + "fos_yielding": 2.225889884989167, + "deflection": 0.00602327485672669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_1873", + "improvement_over_parent": null + }, + "node_1875": { + "node_id": "node_1875", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5049279829646, + "fos_buckling": 1.514535982459582, + "fos_yielding": 2.187771965683926, + "deflection": 0.00515304060807496, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_1874", + "improvement_over_parent": null + }, + "node_1876": { + "node_id": "node_1876", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1875", + "improvement_over_parent": null + }, + "node_1877": { + "node_id": "node_1877", + "content": "INITIAL DESIGN (Trace 268)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 156.53 kg\n Factor of Safety: 0.32\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.5283098629821, + "fos_buckling": 0.31864609409907274, + "fos_yielding": 1.0063670921482637, + "deflection": 0.016100387715046755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1878": { + "node_id": "node_1878", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 180.72 kg\n Factor of Safety: 0.36\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.71990720901945, + "fos_buckling": 0.36149483712662994, + "fos_yielding": 1.1605339256915692, + "deflection": 0.013968414091449726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_1877", + "improvement_over_parent": null + }, + "node_1879": { + "node_id": "node_1879", + "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 184.21 kg\n Factor of Safety: 0.36\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.2063357602914, + "fos_buckling": 0.36135360995525095, + "fos_yielding": 1.160329438940141, + "deflection": 0.013671874452042675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.242)" + }, + "parent_node_id": "node_1878", + "improvement_over_parent": null + }, + "node_1880": { + "node_id": "node_1880", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 224.00 kg\n Factor of Safety: 0.43\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.99838456862844, + "fos_buckling": 0.4269771792725571, + "fos_yielding": 1.408576865544719, + "deflection": 0.011274898387031447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_1879", + "improvement_over_parent": null + }, + "node_1881": { + "node_id": "node_1881", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 267.03 kg\n Factor of Safety: 0.49\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.0323949341613, + "fos_buckling": 0.49307176161078575, + "fos_yielding": 1.6760985947441143, + "deflection": 0.009486683005785444, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_1880", + "improvement_over_parent": null + }, + "node_1882": { + "node_id": "node_1882", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4147923896404, + "fos_buckling": 1.5140935172801837, + "fos_yielding": 2.1869811056584627, + "deflection": 0.005154837971440869, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_1881", + "improvement_over_parent": null + }, + "node_1883": { + "node_id": "node_1883", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1882", + "improvement_over_parent": null + }, + "node_1884": { + "node_id": "node_1884", + "content": "INITIAL DESIGN (Trace 269)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 152.85 kg\n Factor of Safety: 0.65\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.85082224434515, + "fos_buckling": 0.6524866747250584, + "fos_yielding": 1.2030002573347587, + "deflection": 0.010847298098263692, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1885": { + "node_id": "node_1885", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 199.52 kg\n Factor of Safety: 0.83\n Max Deflection: 8.34e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.5156702957492, + "fos_buckling": 0.825096532786668, + "fos_yielding": 1.568509721267945, + "deflection": 0.008341610250708356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_1884", + "improvement_over_parent": null + }, + "node_1886": { + "node_id": "node_1886", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 233.92 kg\n Factor of Safety: 0.94\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.91703149217625, + "fos_buckling": 0.9445163260682905, + "fos_yielding": 1.837438605125173, + "deflection": 0.007134578558688118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_1885", + "improvement_over_parent": null + }, + "node_1887": { + "node_id": "node_1887", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n\nPerformance:\n Mass: 254.31 kg\n Factor of Safety: 1.31\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.31417945675355, + "fos_buckling": 1.3101477873560863, + "fos_yielding": 1.8351297722245783, + "deflection": 0.006126977165179267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004045)" + }, + "parent_node_id": "node_1886", + "improvement_over_parent": null + }, + "node_1888": { + "node_id": "node_1888", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.40438721325444, + "fos_buckling": 1.5140049530417563, + "fos_yielding": 2.1869149870669164, + "deflection": 0.005154866301271724, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1887", + "improvement_over_parent": null + }, + "node_1889": { + "node_id": "node_1889", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1888", + "improvement_over_parent": null + }, + "node_1890": { + "node_id": "node_1890", + "content": "INITIAL DESIGN (Trace 270)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0011)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 152.48 kg\n Factor of Safety: 0.64\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.48086811188054, + "fos_buckling": 0.6387591213845178, + "fos_yielding": 1.2894609996892916, + "deflection": 0.01043089892779919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1891": { + "node_id": "node_1891", + "content": "MODIFICATION: Increase 7 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 153.49 kg\n Factor of Safety: 0.64\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.48533062894217, + "fos_buckling": 0.6386639916733897, + "fos_yielding": 1.2894609996892916, + "deflection": 0.010255544551058366, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.527)" + }, + "parent_node_id": "node_1890", + "improvement_over_parent": null + }, + "node_1892": { + "node_id": "node_1892", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 199.41 kg\n Factor of Safety: 0.80\n Max Deflection: 7.92e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.4083936382392, + "fos_buckling": 0.8024583121712809, + "fos_yielding": 1.674863789679514, + "deflection": 0.007924718854100527, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_1891", + "improvement_over_parent": null + }, + "node_1893": { + "node_id": "node_1893", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 259.25 kg\n Factor of Safety: 1.00\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.2461769002623, + "fos_buckling": 0.9976826072474265, + "fos_yielding": 2.1767636751164257, + "deflection": 0.006126639087009143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_1892", + "improvement_over_parent": null + }, + "node_1894": { + "node_id": "node_1894", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 285.43 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.42952259602714, + "fos_buckling": 1.076745453602854, + "fos_yielding": 2.396281414135306, + "deflection": 0.005576967695203641, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.111)" + }, + "parent_node_id": "node_1893", + "improvement_over_parent": null + }, + "node_1895": { + "node_id": "node_1895", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4612892812569, + "fos_buckling": 1.5142776746061397, + "fos_yielding": 2.1872903440347, + "deflection": 0.005153923941198729, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_1894", + "improvement_over_parent": null + }, + "node_1896": { + "node_id": "node_1896", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1895", + "improvement_over_parent": null + }, + "node_1897": { + "node_id": "node_1897", + "content": "INITIAL DESIGN (Trace 271)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 238.79 kg\n Factor of Safety: 0.23\n Max Deflection: 2.05e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.78668005616865, + "fos_buckling": 0.22958082190651471, + "fos_yielding": 1.1295793111058603, + "deflection": 20473566409789.832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1898": { + "node_id": "node_1898", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 275.17 kg\n Factor of Safety: 1.09\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.1690775116478, + "fos_buckling": 1.091743953452197, + "fos_yielding": 2.182753213374954, + "deflection": 0.0060319950315269695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_1897", + "improvement_over_parent": null + }, + "node_1899": { + "node_id": "node_1899", + "content": "MODIFICATION: Increase 8 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 276.04 kg\n Factor of Safety: 1.09\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.04301287200894, + "fos_buckling": 1.091673149431396, + "fos_yielding": 2.1884311750927017, + "deflection": 0.006027041782317842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.497)" + }, + "parent_node_id": "node_1898", + "improvement_over_parent": null + }, + "node_1900": { + "node_id": "node_1900", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 300.38 kg\n Factor of Safety: 1.52\n Max Deflection: 5.18e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 300.38414087738585, + "fos_buckling": 1.5162111978814723, + "fos_yielding": 2.185716786682545, + "deflection": 0.005175729770888728, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_1899", + "improvement_over_parent": null + }, + "node_1901": { + "node_id": "node_1901", + "content": "MODIFICATION: Increase 12 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0050)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.47 kg\n Factor of Safety: 1.52\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.47109971123643, + "fos_buckling": 1.5162053833212121, + "fos_yielding": 2.177016374925145, + "deflection": 0.005157695133976588, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.192)" + }, + "parent_node_id": "node_1900", + "improvement_over_parent": null + }, + "node_1902": { + "node_id": "node_1902", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1901", + "improvement_over_parent": null + }, + "node_1903": { + "node_id": "node_1903", + "content": "INITIAL DESIGN (Trace 272)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 193.64 kg\n Factor of Safety: 0.40\n Max Deflection: 9.52e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.64005521965436, + "fos_buckling": 0.3957508044316972, + "fos_yielding": 1.292659693800555, + "deflection": 0.009521844555247662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1904": { + "node_id": "node_1904", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 211.63 kg\n Factor of Safety: 1.12\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.63031315039566, + "fos_buckling": 1.1201797220125929, + "fos_yielding": 1.5285663596834331, + "deflection": 0.0073388658190757785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003421)" + }, + "parent_node_id": "node_1903", + "improvement_over_parent": null + }, + "node_1905": { + "node_id": "node_1905", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 247.23 kg\n Factor of Safety: 1.28\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.2279266496601, + "fos_buckling": 1.2794419411386782, + "fos_yielding": 1.7842314569806978, + "deflection": 0.0062992688954741785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_1904", + "improvement_over_parent": null + }, + "node_1906": { + "node_id": "node_1906", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.51431814164954, + "fos_buckling": 1.5144590456335538, + "fos_yielding": 2.1876390101829775, + "deflection": 0.005153106370111467, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_1905", + "improvement_over_parent": null + }, + "node_1907": { + "node_id": "node_1907", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1906", + "improvement_over_parent": null + }, + "node_1908": { + "node_id": "node_1908", + "content": "INITIAL DESIGN (Trace 273)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 219.80 kg\n Factor of Safety: 0.94\n Max Deflection: 7.27e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.7959609127887, + "fos_buckling": 0.9419130499970366, + "fos_yielding": 1.313894961135141, + "deflection": 0.007268547816905378, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1909": { + "node_id": "node_1909", + "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 222.25 kg\n Factor of Safety: 1.14\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.24701657986978, + "fos_buckling": 1.1403429682755164, + "fos_yielding": 1.697847766351532, + "deflection": 0.007138767244884625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.536)" + }, + "parent_node_id": "node_1908", + "improvement_over_parent": null + }, + "node_1910": { + "node_id": "node_1910", + "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 228.35 kg\n Factor of Safety: 1.22\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.3533577884325, + "fos_buckling": 1.2179573268769393, + "fos_yielding": 1.694772645801131, + "deflection": 0.007039436963946863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.553)" + }, + "parent_node_id": "node_1909", + "improvement_over_parent": null + }, + "node_1911": { + "node_id": "node_1911", + "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 234.19 kg\n Factor of Safety: 1.22\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.19265621396914, + "fos_buckling": 1.2221489277294006, + "fos_yielding": 1.690868713127624, + "deflection": 0.00664364646458022, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.412)" + }, + "parent_node_id": "node_1910", + "improvement_over_parent": null + }, + "node_1912": { + "node_id": "node_1912", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5337662018967, + "fos_buckling": 1.5146088801770907, + "fos_yielding": 2.188042453887129, + "deflection": 0.00515306205238962, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_1911", + "improvement_over_parent": null + }, + "node_1913": { + "node_id": "node_1913", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1912", + "improvement_over_parent": null + }, + "node_1914": { + "node_id": "node_1914", + "content": "INITIAL DESIGN (Trace 274)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1915": { + "node_id": "node_1915", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 267.30 kg\n Factor of Safety: 0.87\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.295335950161, + "fos_buckling": 0.8716052530401737, + "fos_yielding": 2.166299833219534, + "deflection": 0.006617169888570668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003743)" + }, + "parent_node_id": "node_1914", + "improvement_over_parent": null + }, + "node_1916": { + "node_id": "node_1916", + "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 275.80 kg\n Factor of Safety: 1.09\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.7994900194466, + "fos_buckling": 1.0909527278165914, + "fos_yielding": 2.1661384926737277, + "deflection": 0.006077925607065885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.335)" + }, + "parent_node_id": "node_1915", + "improvement_over_parent": null + }, + "node_1917": { + "node_id": "node_1917", + "content": "MODIFICATION: Increase 2 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 280.91 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.91427058514273, + "fos_buckling": 1.090745782810556, + "fos_yielding": 2.1897439847824103, + "deflection": 0.006003118038159577, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.431)" + }, + "parent_node_id": "node_1916", + "improvement_over_parent": null + }, + "node_1918": { + "node_id": "node_1918", + "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0059)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 286.48 kg\n Factor of Safety: 1.09\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.4789963624246, + "fos_buckling": 1.0900708791683613, + "fos_yielding": 2.1915126485753844, + "deflection": 0.005969246579712325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.311)" + }, + "parent_node_id": "node_1917", + "improvement_over_parent": null + }, + "node_1919": { + "node_id": "node_1919", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0059)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.47\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.59695159399905, + "fos_buckling": 1.46758805872575, + "fos_yielding": 2.188829383960439, + "deflection": 0.005190184302499501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_1918", + "improvement_over_parent": null + }, + "node_1920": { + "node_id": "node_1920", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1919", + "improvement_over_parent": null + }, + "node_1921": { + "node_id": "node_1921", + "content": "INITIAL DESIGN (Trace 275)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 199.51 kg\n Factor of Safety: 0.92\n Max Deflection: 7.73e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.51437990788813, + "fos_buckling": 0.9202266185325569, + "fos_yielding": 1.1539424311652442, + "deflection": 0.007729274678020087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1922": { + "node_id": "node_1922", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 255.34 kg\n Factor of Safety: 1.15\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.3377961707168, + "fos_buckling": 1.1519892262471632, + "fos_yielding": 1.4807988953567008, + "deflection": 0.006065910051301734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_1921", + "improvement_over_parent": null + }, + "node_1923": { + "node_id": "node_1923", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 296.78 kg\n Factor of Safety: 1.32\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.78326202902645, + "fos_buckling": 1.316692829650618, + "fos_yielding": 1.7249066063654686, + "deflection": 0.005235715726349652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_1922", + "improvement_over_parent": null + }, + "node_1924": { + "node_id": "node_1924", + "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.16 kg\n Factor of Safety: 1.31\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.16281725135224, + "fos_buckling": 1.3080753642776142, + "fos_yielding": 2.207279433937883, + "deflection": 0.005197869992225086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.318)" + }, + "parent_node_id": "node_1923", + "improvement_over_parent": null + }, + "node_1925": { + "node_id": "node_1925", + "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4512563944285, + "fos_buckling": 1.5142514114435572, + "fos_yielding": 2.186726289093361, + "deflection": 0.00515407343435197, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.560)" + }, + "parent_node_id": "node_1924", + "improvement_over_parent": null + }, + "node_1926": { + "node_id": "node_1926", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1925", + "improvement_over_parent": null + }, + "node_1927": { + "node_id": "node_1927", + "content": "INITIAL DESIGN (Trace 276)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0006)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 185.95 kg\n Factor of Safety: 0.39\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.94731439037108, + "fos_buckling": 0.3944155364292681, + "fos_yielding": 1.2866196220903168, + "deflection": 0.010159198927081727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1928": { + "node_id": "node_1928", + "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0006)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 186.65 kg\n Factor of Safety: 0.39\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.65019372865285, + "fos_buckling": 0.3943746220617111, + "fos_yielding": 1.2865894522167904, + "deflection": 0.0101956407617202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.236)" + }, + "parent_node_id": "node_1927", + "improvement_over_parent": null + }, + "node_1929": { + "node_id": "node_1929", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0006)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 204.55 kg\n Factor of Safety: 1.14\n Max Deflection: 7.75e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.55142948825556, + "fos_buckling": 1.1351583651843886, + "fos_yielding": 1.5092225716728958, + "deflection": 0.007748415569366459, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003403)" + }, + "parent_node_id": "node_1928", + "improvement_over_parent": null + }, + "node_1930": { + "node_id": "node_1930", + "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0006)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 209.42 kg\n Factor of Safety: 1.11\n Max Deflection: 7.40e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.41574957086777, + "fos_buckling": 1.1133233446371886, + "fos_yielding": 1.509617580916269, + "deflection": 0.00739950768672471, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.401)" + }, + "parent_node_id": "node_1929", + "improvement_over_parent": null + }, + "node_1931": { + "node_id": "node_1931", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0008)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 262.07 kg\n Factor of Safety: 1.35\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.0743506108322, + "fos_buckling": 1.3471824448858238, + "fos_yielding": 1.8870485023834935, + "deflection": 0.00593642699088469, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_1930", + "improvement_over_parent": null + }, + "node_1932": { + "node_id": "node_1932", + "content": "MODIFICATION: Increase 8 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 262.65 kg\n Factor of Safety: 1.35\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.6527638321201, + "fos_buckling": 1.3485294485645376, + "fos_yielding": 1.8948728319907333, + "deflection": 0.00592536155733598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.626)" + }, + "parent_node_id": "node_1931", + "improvement_over_parent": null + }, + "node_1933": { + "node_id": "node_1933", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 302.3501150023702, + "fos_buckling": 1.5126100056171528, + "fos_yielding": 2.1793133051461075, + "deflection": 0.005162984931574057, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_1932", + "improvement_over_parent": null + }, + "node_1934": { + "node_id": "node_1934", + "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3636137701672, + "fos_buckling": 1.5137686736190274, + "fos_yielding": 2.186541316912764, + "deflection": 0.005155560844034052, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.621)" + }, + "parent_node_id": "node_1933", + "improvement_over_parent": null + }, + "node_1935": { + "node_id": "node_1935", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1934", + "improvement_over_parent": null + }, + "node_1936": { + "node_id": "node_1936", + "content": "INITIAL DESIGN (Trace 277)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 177.68 kg\n Factor of Safety: 0.51\n Max Deflection: 1.11e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.68183066295586, + "fos_buckling": 0.505062954698048, + "fos_yielding": 1.5611245132951215, + "deflection": 11130561495341.13, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1937": { + "node_id": "node_1937", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n\nPerformance:\n Mass: 189.63 kg\n Factor of Safety: 0.33\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.62732080877458, + "fos_buckling": 0.32974549729711683, + "fos_yielding": 0.999848689995929, + "deflection": 0.018679969903640625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002994)" + }, + "parent_node_id": "node_1936", + "improvement_over_parent": null + }, + "node_1938": { + "node_id": "node_1938", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 239.51 kg\n Factor of Safety: 0.40\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.5128302139371, + "fos_buckling": 0.40204017357828087, + "fos_yielding": 1.2570605362999439, + "deflection": 0.014900382666592198, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_1937", + "improvement_over_parent": null + }, + "node_1939": { + "node_id": "node_1939", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 262.52 kg\n Factor of Safety: 0.80\n Max Deflection: 7.38e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.5210004867961, + "fos_buckling": 0.8005423607566352, + "fos_yielding": 1.9045471488449472, + "deflection": 0.007381006774085823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004753)" + }, + "parent_node_id": "node_1938", + "improvement_over_parent": null + }, + "node_1940": { + "node_id": "node_1940", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 297.65 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.646460995962, + "fos_buckling": 0.8889286915922384, + "fos_yielding": 2.1576769618750706, + "deflection": 0.0065228518142710756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_1939", + "improvement_over_parent": null + }, + "node_1941": { + "node_id": "node_1941", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.22 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2206606609382, + "fos_buckling": 1.5132397752327948, + "fos_yielding": 2.185393840358641, + "deflection": 0.005157712855114248, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1940", + "improvement_over_parent": null + }, + "node_1942": { + "node_id": "node_1942", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1941", + "improvement_over_parent": null + }, + "node_1943": { + "node_id": "node_1943", + "content": "INITIAL DESIGN (Trace 278)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 181.41 kg\n Factor of Safety: 0.60\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.40772057692877, + "fos_buckling": 0.6009126390707991, + "fos_yielding": 1.4863354382357956, + "deflection": 0.01042374861687782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1944": { + "node_id": "node_1944", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 185.26 kg\n Factor of Safety: 0.60\n Max Deflection: 9.60e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.2554238779262, + "fos_buckling": 0.6005672147281548, + "fos_yielding": 1.5118202606616207, + "deflection": 0.00959949055748818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002229)" + }, + "parent_node_id": "node_1943", + "improvement_over_parent": null + }, + "node_1945": { + "node_id": "node_1945", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n\nPerformance:\n Mass: 202.05 kg\n Factor of Safety: 0.89\n Max Deflection: 7.85e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.0547392668022, + "fos_buckling": 0.8937495880729937, + "fos_yielding": 1.509208004228827, + "deflection": 0.007849073953416393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003286)" + }, + "parent_node_id": "node_1944", + "improvement_over_parent": null + }, + "node_1946": { + "node_id": "node_1946", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n\nPerformance:\n Mass: 254.47 kg\n Factor of Safety: 1.10\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.4706677350867, + "fos_buckling": 1.1007716644930123, + "fos_yielding": 1.8975523552560594, + "deflection": 0.006254235809701745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_1945", + "improvement_over_parent": null + }, + "node_1947": { + "node_id": "node_1947", + "content": "MODIFICATION: Increase 10 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n\nPerformance:\n Mass: 260.75 kg\n Factor of Safety: 1.10\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.7541151928779, + "fos_buckling": 1.098083602167107, + "fos_yielding": 1.8998067046435163, + "deflection": 0.006213535677717176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.399)" + }, + "parent_node_id": "node_1946", + "improvement_over_parent": null + }, + "node_1948": { + "node_id": "node_1948", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0063)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 300.11 kg\n Factor of Safety: 1.24\n Max Deflection: 5.41e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.10725466891114, + "fos_buckling": 1.243454066613513, + "fos_yielding": 2.184881140249617, + "deflection": 0.005410885482902899, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_1947", + "improvement_over_parent": null + }, + "node_1949": { + "node_id": "node_1949", + "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0062)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0063)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.24\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.4229658948371, + "fos_buckling": 1.2437725984530803, + "fos_yielding": 2.4078829235969614, + "deflection": 0.005375119974795021, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.357)" + }, + "parent_node_id": "node_1948", + "improvement_over_parent": null + }, + "node_1950": { + "node_id": "node_1950", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1949", + "improvement_over_parent": null + }, + "node_1951": { + "node_id": "node_1951", + "content": "INITIAL DESIGN (Trace 279)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 237.46 kg\n Factor of Safety: 0.47\n Max Deflection: 7.70e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.4621247948292, + "fos_buckling": 0.4748746223656221, + "fos_yielding": 1.6042056395656596, + "deflection": 0.0076975530906060975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1952": { + "node_id": "node_1952", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 259.82 kg\n Factor of Safety: 1.35\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.82269764409665, + "fos_buckling": 1.3481204102625837, + "fos_yielding": 1.8841534725464866, + "deflection": 0.005984547763743233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004320)" + }, + "parent_node_id": "node_1951", + "improvement_over_parent": null + }, + "node_1953": { + "node_id": "node_1953", + "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 263.07 kg\n Factor of Safety: 1.35\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.07373305081245, + "fos_buckling": 1.3477115182055195, + "fos_yielding": 1.8979319845901854, + "deflection": 0.005926937345660422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.282)" + }, + "parent_node_id": "node_1952", + "improvement_over_parent": null + }, + "node_1954": { + "node_id": "node_1954", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.31 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3058301783811, + "fos_buckling": 1.5136602742588419, + "fos_yielding": 2.1861784012699834, + "deflection": 0.00515651502790543, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1953", + "improvement_over_parent": null + }, + "node_1955": { + "node_id": "node_1955", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1954", + "improvement_over_parent": null + }, + "node_1956": { + "node_id": "node_1956", + "content": "INITIAL DESIGN (Trace 280)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 199.93 kg\n Factor of Safety: 0.27\n Max Deflection: 2.99e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.93300670589684, + "fos_buckling": 0.27169023476855, + "fos_yielding": 0.5944283807757674, + "deflection": 29943286456725.957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1957": { + "node_id": "node_1957", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 230.93 kg\n Factor of Safety: 0.49\n Max Deflection: 2.31e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.92646966028957, + "fos_buckling": 0.49124481991791713, + "fos_yielding": 1.5797077573913367, + "deflection": 23137513437704.47, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1956", + "improvement_over_parent": null + }, + "node_1958": { + "node_id": "node_1958", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 256.72 kg\n Factor of Safety: 1.08\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.71709720270354, + "fos_buckling": 1.0795624061059215, + "fos_yielding": 2.39610612762191, + "deflection": 0.006564672877074079, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_1957", + "improvement_over_parent": null + }, + "node_1959": { + "node_id": "node_1959", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 274.75 kg\n Factor of Safety: 1.09\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.7488638879333, + "fos_buckling": 1.091879164199069, + "fos_yielding": 2.1877189981442906, + "deflection": 0.006144592413566359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_1958", + "improvement_over_parent": null + }, + "node_1960": { + "node_id": "node_1960", + "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 279.10 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.10461104405124, + "fos_buckling": 1.0913499413544516, + "fos_yielding": 2.189951302358293, + "deflection": 0.0060010678432533176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.220)" + }, + "parent_node_id": "node_1959", + "improvement_over_parent": null + }, + "node_1961": { + "node_id": "node_1961", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.44573904942814, + "fos_buckling": 1.514141068638378, + "fos_yielding": 2.18712409436708, + "deflection": 0.005154049953230318, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_1960", + "improvement_over_parent": null + }, + "node_1962": { + "node_id": "node_1962", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1961", + "improvement_over_parent": null + }, + "node_1963": { + "node_id": "node_1963", + "content": "INITIAL DESIGN (Trace 281)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 164.92 kg\n Factor of Safety: 0.53\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.91952132857983, + "fos_buckling": 0.5281736595071559, + "fos_yielding": 1.231287683642329, + "deflection": 0.011604442388160536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1964": { + "node_id": "node_1964", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 207.72 kg\n Factor of Safety: 0.65\n Max Deflection: 9.24e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.7224757051999, + "fos_buckling": 0.648990189423513, + "fos_yielding": 1.5489500036840445, + "deflection": 0.009235748781569918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_1963", + "improvement_over_parent": null + }, + "node_1965": { + "node_id": "node_1965", + "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 213.43 kg\n Factor of Safety: 0.67\n Max Deflection: 9.05e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.43219389100585, + "fos_buckling": 0.669606943284084, + "fos_yielding": 1.550199505865176, + "deflection": 0.009053305479597247, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.468)" + }, + "parent_node_id": "node_1964", + "improvement_over_parent": null + }, + "node_1966": { + "node_id": "node_1966", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 266.74 kg\n Factor of Safety: 0.81\n Max Deflection: 7.27e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.7361746399039, + "fos_buckling": 0.8113814756586538, + "fos_yielding": 1.9350390846396186, + "deflection": 0.007265930393221199, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_1965", + "improvement_over_parent": null + }, + "node_1967": { + "node_id": "node_1967", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 298.05 kg\n Factor of Safety: 0.89\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.04667523837264, + "fos_buckling": 0.8899077954679225, + "fos_yielding": 2.1606630506853355, + "deflection": 0.006514096792788671, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_1966", + "improvement_over_parent": null + }, + "node_1968": { + "node_id": "node_1968", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.62 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.62087490334886, + "fos_buckling": 1.5148403176247807, + "fos_yielding": 2.1884082455661846, + "deflection": 0.005151347065466163, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_1967", + "improvement_over_parent": null + }, + "node_1969": { + "node_id": "node_1969", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1968", + "improvement_over_parent": null + }, + "node_1970": { + "node_id": "node_1970", + "content": "INITIAL DESIGN (Trace 282)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 161.61 kg\n Factor of Safety: 0.85\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.6099651346595, + "fos_buckling": 0.8544825531588247, + "fos_yielding": 1.2635441206190094, + "deflection": 0.01016932386915658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1971": { + "node_id": "node_1971", + "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 165.49 kg\n Factor of Safety: 0.92\n Max Deflection: 9.90e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.4912179933797, + "fos_buckling": 0.9199866470190038, + "fos_yielding": 1.2636443930420198, + "deflection": 0.009898050481573812, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.239)" + }, + "parent_node_id": "node_1970", + "improvement_over_parent": null + }, + "node_1972": { + "node_id": "node_1972", + "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 165.73 kg\n Factor of Safety: 0.92\n Max Deflection: 9.90e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.72515882139174, + "fos_buckling": 0.9208156794726322, + "fos_yielding": 1.2647582623863818, + "deflection": 0.00989565691634938, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.178)" + }, + "parent_node_id": "node_1971", + "improvement_over_parent": null + }, + "node_1973": { + "node_id": "node_1973", + "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 170.91 kg\n Factor of Safety: 0.94\n Max Deflection: 9.30e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.91399031922475, + "fos_buckling": 0.9431413557387369, + "fos_yielding": 1.264979024135932, + "deflection": 0.009301839650277428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.572)" + }, + "parent_node_id": "node_1972", + "improvement_over_parent": null + }, + "node_1974": { + "node_id": "node_1974", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 211.11 kg\n Factor of Safety: 1.14\n Max Deflection: 7.55e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.1077258388915, + "fos_buckling": 1.1354589567205018, + "fos_yielding": 1.5606642670558568, + "deflection": 0.007551162933369967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_1973", + "improvement_over_parent": null + }, + "node_1975": { + "node_id": "node_1975", + "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 215.67 kg\n Factor of Safety: 1.14\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.66804006032763, + "fos_buckling": 1.138632253587396, + "fos_yielding": 1.5577681780126817, + "deflection": 0.0072041832759872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.328)" + }, + "parent_node_id": "node_1974", + "improvement_over_parent": null + }, + "node_1976": { + "node_id": "node_1976", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 272.69 kg\n Factor of Safety: 1.39\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.6943102706684, + "fos_buckling": 1.3882874487732126, + "fos_yielding": 1.967103285390478, + "deflection": 0.005722468430540981, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_1975", + "improvement_over_parent": null + }, + "node_1977": { + "node_id": "node_1977", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.71 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.7097517790767, + "fos_buckling": 1.515214811756456, + "fos_yielding": 2.189284952642201, + "deflection": 0.005150206462088976, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_1976", + "improvement_over_parent": null + }, + "node_1978": { + "node_id": "node_1978", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1977", + "improvement_over_parent": null + }, + "node_1979": { + "node_id": "node_1979", + "content": "INITIAL DESIGN (Trace 283)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 239.21 kg\n Factor of Safety: 1.04\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.214221827494, + "fos_buckling": 1.0355585761639967, + "fos_yielding": 1.3166211133190335, + "deflection": 0.0065514271740042, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1980": { + "node_id": "node_1980", + "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 244.41 kg\n Factor of Safety: 1.04\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.41263584929868, + "fos_buckling": 1.0356199699519164, + "fos_yielding": 1.316699170088841, + "deflection": 0.006347794095813306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.225)" + }, + "parent_node_id": "node_1979", + "improvement_over_parent": null + }, + "node_1981": { + "node_id": "node_1981", + "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 246.82 kg\n Factor of Safety: 1.17\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.8214122559241, + "fos_buckling": 1.1690682509961108, + "fos_yielding": 1.7960850629603398, + "deflection": 0.006275603845537185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.408)" + }, + "parent_node_id": "node_1980", + "improvement_over_parent": null + }, + "node_1982": { + "node_id": "node_1982", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 298.37 kg\n Factor of Safety: 1.37\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.368512579712, + "fos_buckling": 1.3744956154897487, + "fos_yielding": 2.1683036885120925, + "deflection": 0.005212342569880799, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_1981", + "improvement_over_parent": null + }, + "node_1983": { + "node_id": "node_1983", + "content": "MODIFICATION: Increase 15 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4455647285073, + "fos_buckling": 1.513658856790106, + "fos_yielding": 2.1867770653333882, + "deflection": 0.005154413801093809, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.269)" + }, + "parent_node_id": "node_1982", + "improvement_over_parent": null + }, + "node_1984": { + "node_id": "node_1984", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1983", + "improvement_over_parent": null + }, + "node_1985": { + "node_id": "node_1985", + "content": "INITIAL DESIGN (Trace 284)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 200.24 kg\n Factor of Safety: 0.83\n Max Deflection: 8.48e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.23727670972264, + "fos_buckling": 0.828999389468813, + "fos_yielding": 1.153987004113661, + "deflection": 0.008477855779022726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1986": { + "node_id": "node_1986", + "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 203.82 kg\n Factor of Safety: 0.83\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.81742275559273, + "fos_buckling": 0.8288887092003141, + "fos_yielding": 1.1667874330127763, + "deflection": 0.008370947082052932, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.403)" + }, + "parent_node_id": "node_1985", + "improvement_over_parent": null + }, + "node_1987": { + "node_id": "node_1987", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 249.19 kg\n Factor of Safety: 0.98\n Max Deflection: 6.87e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.1917643253062, + "fos_buckling": 0.9821586144659815, + "fos_yielding": 1.430937815262824, + "deflection": 0.006871538762821496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_1986", + "improvement_over_parent": null + }, + "node_1988": { + "node_id": "node_1988", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 264.25 kg\n Factor of Safety: 1.12\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.246192932886, + "fos_buckling": 1.1154137433783418, + "fos_yielding": 1.429188668487678, + "deflection": 0.0059079385670458414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003838)" + }, + "parent_node_id": "node_1987", + "improvement_over_parent": null + }, + "node_1989": { + "node_id": "node_1989", + "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0072)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 275.39 kg\n Factor of Safety: 1.12\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.3928342084509, + "fos_buckling": 1.1154790036881295, + "fos_yielding": 1.429272287051466, + "deflection": 0.005648888511838776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.391)" + }, + "parent_node_id": "node_1988", + "improvement_over_parent": null + }, + "node_1990": { + "node_id": "node_1990", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0083)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 313.02 kg\n Factor of Safety: 1.25\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 313.0151504419975, + "fos_buckling": 1.252333441941276, + "fos_yielding": 1.629868318446558, + "deflection": 0.004983583715818113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_1989", + "improvement_over_parent": null + }, + "node_1991": { + "node_id": "node_1991", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1990", + "improvement_over_parent": null + }, + "node_1992": { + "node_id": "node_1992", + "content": "INITIAL DESIGN (Trace 285)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 141.13 kg\n Factor of Safety: 0.03\n Max Deflection: 2.76e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.12850840702436, + "fos_buckling": 0.0313192373915955, + "fos_yielding": 0.1200707596233106, + "deflection": 276088858111466.62, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1993": { + "node_id": "node_1993", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n\nPerformance:\n Mass: 164.22 kg\n Factor of Safety: 0.74\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.2242579425311, + "fos_buckling": 0.7395973515287545, + "fos_yielding": 1.467637080071418, + "deflection": 0.010977943543075302, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003677)" + }, + "parent_node_id": "node_1992", + "improvement_over_parent": null + }, + "node_1994": { + "node_id": "node_1994", + "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n\nPerformance:\n Mass: 169.09 kg\n Factor of Safety: 0.74\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.09368725013388, + "fos_buckling": 0.7393312075859041, + "fos_yielding": 1.5214473203153027, + "deflection": 0.010020819103169874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.453)" + }, + "parent_node_id": "node_1993", + "improvement_over_parent": null + }, + "node_1995": { + "node_id": "node_1995", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n\nPerformance:\n Mass: 184.55 kg\n Factor of Safety: 0.74\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.54869546470644, + "fos_buckling": 0.7384877646243557, + "fos_yielding": 1.5214473203153038, + "deflection": 0.008712279374082024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003008)" + }, + "parent_node_id": "node_1994", + "improvement_over_parent": null + }, + "node_1996": { + "node_id": "node_1996", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n\nPerformance:\n Mass: 228.94 kg\n Factor of Safety: 0.89\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.93650627549096, + "fos_buckling": 0.8870424973503371, + "fos_yielding": 1.8868525096833992, + "deflection": 0.007049649726510661, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_1995", + "improvement_over_parent": null + }, + "node_1997": { + "node_id": "node_1997", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 290.87 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.8718234945693, + "fos_buckling": 1.0762292058121035, + "fos_yielding": 2.3963647003326884, + "deflection": 0.005577745467876137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_1996", + "improvement_over_parent": null + }, + "node_1998": { + "node_id": "node_1998", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.56 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5601947530579, + "fos_buckling": 1.514902932217499, + "fos_yielding": 2.188136883514019, + "deflection": 0.005152419375262072, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_1997", + "improvement_over_parent": null + }, + "node_1999": { + "node_id": "node_1999", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1998", + "improvement_over_parent": null + }, + "node_2000": { + "node_id": "node_2000", + "content": "INITIAL DESIGN (Trace 286)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 201.22 kg\n Factor of Safety: 0.98\n Max Deflection: 8.09e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.22175480955727, + "fos_buckling": 0.9822731070384595, + "fos_yielding": 1.5818203365804242, + "deflection": 0.008088233603387982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2001": { + "node_id": "node_2001", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 228.28 kg\n Factor of Safety: 1.10\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.279100809233, + "fos_buckling": 1.0990057490840692, + "fos_yielding": 1.7923030476978203, + "deflection": 0.0071404085835940516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_2000", + "improvement_over_parent": null + }, + "node_2002": { + "node_id": "node_2002", + "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 234.16 kg\n Factor of Safety: 1.22\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.15562137917772, + "fos_buckling": 1.2244333764707507, + "fos_yielding": 1.792421000662484, + "deflection": 0.00689381347844519, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.266)" + }, + "parent_node_id": "node_2001", + "improvement_over_parent": null + }, + "node_2003": { + "node_id": "node_2003", + "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 242.14 kg\n Factor of Safety: 1.11\n Max Deflection: 6.39e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.14093661069785, + "fos_buckling": 1.1099840424694665, + "fos_yielding": 1.7871573905189653, + "deflection": 0.0063902736939495585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.603)" + }, + "parent_node_id": "node_2002", + "improvement_over_parent": null + }, + "node_2004": { + "node_id": "node_2004", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 296.93 kg\n Factor of Safety: 1.33\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.92735096855165, + "fos_buckling": 1.3336179322206902, + "fos_yielding": 2.1880603005582766, + "deflection": 0.005232623901646792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_2003", + "improvement_over_parent": null + }, + "node_2005": { + "node_id": "node_2005", + "content": "MODIFICATION: Increase 13 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.12 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.1170352904327, + "fos_buckling": 1.5126780438878782, + "fos_yielding": 2.184552693878462, + "deflection": 0.005159416411204918, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.399)" + }, + "parent_node_id": "node_2004", + "improvement_over_parent": null + }, + "node_2006": { + "node_id": "node_2006", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2005", + "improvement_over_parent": null + }, + "node_2007": { + "node_id": "node_2007", + "content": "INITIAL DESIGN (Trace 287)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 153.46 kg\n Factor of Safety: 0.50\n Max Deflection: 6.04e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.45824997287562, + "fos_buckling": 0.4950500229100867, + "fos_yielding": 1.1888567615515349, + "deflection": 6044745381741.781, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2008": { + "node_id": "node_2008", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n\nPerformance:\n Mass: 174.17 kg\n Factor of Safety: 0.41\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.17483096584823, + "fos_buckling": 0.4088997188284005, + "fos_yielding": 1.2394571684280347, + "deflection": 0.013957816336760907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004244)" + }, + "parent_node_id": "node_2007", + "improvement_over_parent": null + }, + "node_2009": { + "node_id": "node_2009", + "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n\nPerformance:\n Mass: 175.06 kg\n Factor of Safety: 0.41\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.05883106815068, + "fos_buckling": 0.4088726983567868, + "fos_yielding": 1.2393746681037106, + "deflection": 0.013959007648560735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.441)" + }, + "parent_node_id": "node_2008", + "improvement_over_parent": null + }, + "node_2010": { + "node_id": "node_2010", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 0.44\n Max Deflection: 8.43e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.9535723217167, + "fos_buckling": 0.4431021312368202, + "fos_yielding": 1.4715628804259404, + "deflection": 0.008433133907593577, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004668)" + }, + "parent_node_id": "node_2009", + "improvement_over_parent": null + }, + "node_2011": { + "node_id": "node_2011", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 220.09 kg\n Factor of Safety: 0.44\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.08730314876928, + "fos_buckling": 0.44152674195432384, + "fos_yielding": 1.4703762689024134, + "deflection": 0.00826415518837111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003488)" + }, + "parent_node_id": "node_2010", + "improvement_over_parent": null + }, + "node_2012": { + "node_id": "node_2012", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 240.57 kg\n Factor of Safety: 1.13\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.57023035841235, + "fos_buckling": 1.1272063195839352, + "fos_yielding": 1.7419449035192114, + "deflection": 0.0065423568087851535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003930)" + }, + "parent_node_id": "node_2011", + "improvement_over_parent": null + }, + "node_2013": { + "node_id": "node_2013", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.79 kg\n Factor of Safety: 1.39\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.79303069168424, + "fos_buckling": 1.391424326118626, + "fos_yielding": 2.189377778321144, + "deflection": 0.0052206121527669305, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_2012", + "improvement_over_parent": null + }, + "node_2014": { + "node_id": "node_2014", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2013", + "improvement_over_parent": null + }, + "node_2015": { + "node_id": "node_2015", + "content": "INITIAL DESIGN (Trace 288)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 247.52 kg\n Factor of Safety: 0.45\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.51994079604495, + "fos_buckling": 0.44603036998325474, + "fos_yielding": 1.083372321220109, + "deflection": 0.013155208507956087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2016": { + "node_id": "node_2016", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 260.21 kg\n Factor of Safety: 0.45\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.2083120545335, + "fos_buckling": 0.44581995296361204, + "fos_yielding": 1.422616881936996, + "deflection": 0.01225864553981046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_2015", + "improvement_over_parent": null + }, + "node_2017": { + "node_id": "node_2017", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 277.33 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.32626728610796, + "fos_buckling": 0.4452531925861302, + "fos_yielding": 1.4209412210424683, + "deflection": 0.010714643484878843, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_2016", + "improvement_over_parent": null + }, + "node_2018": { + "node_id": "node_2018", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4140595688841, + "fos_buckling": 1.5140594169008037, + "fos_yielding": 2.1869447733595235, + "deflection": 0.005154720601572747, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_2017", + "improvement_over_parent": null + }, + "node_2019": { + "node_id": "node_2019", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2018", + "improvement_over_parent": null + }, + "node_2020": { + "node_id": "node_2020", + "content": "INITIAL DESIGN (Trace 289)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 198.01 kg\n Factor of Safety: 0.63\n Max Deflection: 9.75e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.00554692621625, + "fos_buckling": 0.6266759561430163, + "fos_yielding": 1.438670083968457, + "deflection": 0.009750085303509992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2021": { + "node_id": "node_2021", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n\nPerformance:\n Mass: 201.71 kg\n Factor of Safety: 1.07\n Max Deflection: 7.69e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.71160774020677, + "fos_buckling": 1.0743367289732442, + "fos_yielding": 1.457258555036992, + "deflection": 0.007693863087493622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002142)" + }, + "parent_node_id": "node_2020", + "improvement_over_parent": null + }, + "node_2022": { + "node_id": "node_2022", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 234.10 kg\n Factor of Safety: 1.22\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.10021596249192, + "fos_buckling": 1.2216823617940082, + "fos_yielding": 1.6899991535636356, + "deflection": 0.006645825139952102, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_2021", + "improvement_over_parent": null + }, + "node_2023": { + "node_id": "node_2023", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41700669591006, + "fos_buckling": 1.5140826439431758, + "fos_yielding": 2.1869471722015152, + "deflection": 0.005154699849227449, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_2022", + "improvement_over_parent": null + }, + "node_2024": { + "node_id": "node_2024", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2023", + "improvement_over_parent": null + }, + "node_2025": { + "node_id": "node_2025", + "content": "INITIAL DESIGN (Trace 290)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 186.50 kg\n Factor of Safety: 0.39\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.5025780517828, + "fos_buckling": 0.3881207798541682, + "fos_yielding": 1.259264442996062, + "deflection": 0.013193821170849435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2026": { + "node_id": "node_2026", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n\nPerformance:\n Mass: 200.01 kg\n Factor of Safety: 0.39\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.00797779059158, + "fos_buckling": 0.3879252186971717, + "fos_yielding": 1.2589781337922796, + "deflection": 0.012605838392202612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003086)" + }, + "parent_node_id": "node_2025", + "improvement_over_parent": null + }, + "node_2027": { + "node_id": "node_2027", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 233.44 kg\n Factor of Safety: 0.44\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.4355490888639, + "fos_buckling": 0.4418937364376051, + "fos_yielding": 1.4672894632765996, + "deflection": 0.010826301896861956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_2026", + "improvement_over_parent": null + }, + "node_2028": { + "node_id": "node_2028", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 266.80 kg\n Factor of Safety: 0.49\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.7972403192403, + "fos_buckling": 0.4927138100350519, + "fos_yielding": 1.6745965303733599, + "deflection": 0.009494878707455658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_2027", + "improvement_over_parent": null + }, + "node_2029": { + "node_id": "node_2029", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.18 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.1796377747194, + "fos_buckling": 1.5138515139022097, + "fos_yielding": 2.1850114833680685, + "deflection": 0.005158421890683665, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_2028", + "improvement_over_parent": null + }, + "node_2030": { + "node_id": "node_2030", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2029", + "improvement_over_parent": null + }, + "node_2031": { + "node_id": "node_2031", + "content": "INITIAL DESIGN (Trace 291)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 228.66 kg\n Factor of Safety: 1.00\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.65884287871782, + "fos_buckling": 0.9997124592948221, + "fos_yielding": 1.698580229491074, + "deflection": 0.006758236401820658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2032": { + "node_id": "node_2032", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 258.89 kg\n Factor of Safety: 1.12\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.88870894315244, + "fos_buckling": 1.1211340297899832, + "fos_yielding": 1.921424866350511, + "deflection": 0.005982410359989194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_2031", + "improvement_over_parent": null + }, + "node_2033": { + "node_id": "node_2033", + "content": "MODIFICATION: Increase 13 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 265.79 kg\n Factor of Safety: 1.36\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.7905128157519, + "fos_buckling": 1.359180764139538, + "fos_yielding": 1.9173083438259366, + "deflection": 0.0058677163166696595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.555)" + }, + "parent_node_id": "node_2032", + "improvement_over_parent": null + }, + "node_2034": { + "node_id": "node_2034", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.52847751703626, + "fos_buckling": 1.5144787770999246, + "fos_yielding": 2.187654235927038, + "deflection": 0.00515294729422554, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_2033", + "improvement_over_parent": null + }, + "node_2035": { + "node_id": "node_2035", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2034", + "improvement_over_parent": null + }, + "node_2036": { + "node_id": "node_2036", + "content": "INITIAL DESIGN (Trace 292)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 119.04 kg\n Factor of Safety: 0.60\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.03642708993338, + "fos_buckling": 0.5977372793077834, + "fos_yielding": 1.1072367542428692, + "deflection": 0.015035374520767687, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2037": { + "node_id": "node_2037", + "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 122.94 kg\n Factor of Safety: 0.60\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.94142182473239, + "fos_buckling": 0.5975620134726803, + "fos_yielding": 1.1072060151733412, + "deflection": 0.013768969883471406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.464)" + }, + "parent_node_id": "node_2036", + "improvement_over_parent": null + }, + "node_2038": { + "node_id": "node_2038", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 148.32 kg\n Factor of Safety: 0.71\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.31873912610973, + "fos_buckling": 0.7073276876048474, + "fos_yielding": 1.334646046792275, + "deflection": 0.011433069435455094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_2037", + "improvement_over_parent": null + }, + "node_2039": { + "node_id": "node_2039", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 191.88 kg\n Factor of Safety: 0.89\n Max Deflection: 8.86e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.8804277417741, + "fos_buckling": 0.8850701514815575, + "fos_yielding": 1.724148329658484, + "deflection": 0.008864008521361632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_2038", + "improvement_over_parent": null + }, + "node_2040": { + "node_id": "node_2040", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 209.83 kg\n Factor of Safety: 0.88\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.83494622952364, + "fos_buckling": 0.8832924327234296, + "fos_yielding": 1.700376066242773, + "deflection": 0.008107174155076818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003623)" + }, + "parent_node_id": "node_2039", + "improvement_over_parent": null + }, + "node_2041": { + "node_id": "node_2041", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 228.65 kg\n Factor of Safety: 1.22\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.65245438777947, + "fos_buckling": 1.2199299335588043, + "fos_yielding": 1.6983728392919972, + "deflection": 0.007039254883054484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003709)" + }, + "parent_node_id": "node_2040", + "improvement_over_parent": null + }, + "node_2042": { + "node_id": "node_2042", + "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 234.68 kg\n Factor of Safety: 1.22\n Max Deflection: 6.63e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.68290787395586, + "fos_buckling": 1.2242901480790016, + "fos_yielding": 1.6943133562586412, + "deflection": 0.00662921656861642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.429)" + }, + "parent_node_id": "node_2041", + "improvement_over_parent": null + }, + "node_2043": { + "node_id": "node_2043", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.74 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.7356274377461, + "fos_buckling": 1.515373416215727, + "fos_yielding": 2.1893914910196637, + "deflection": 0.005149111356100678, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_2042", + "improvement_over_parent": null + }, + "node_2044": { + "node_id": "node_2044", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2043", + "improvement_over_parent": null + }, + "node_2045": { + "node_id": "node_2045", + "content": "INITIAL DESIGN (Trace 293)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 248.79 kg\n Factor of Safety: 0.49\n Max Deflection: 9.83e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.790717101178, + "fos_buckling": 0.49398355564972257, + "fos_yielding": 1.6774801212025172, + "deflection": 0.009831589644028242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2046": { + "node_id": "node_2046", + "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 249.48 kg\n Factor of Safety: 0.49\n Max Deflection: 9.81e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.47592356914888, + "fos_buckling": 0.49395837772044343, + "fos_yielding": 1.677441499724293, + "deflection": 0.009814013608341167, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.355)" + }, + "parent_node_id": "node_2045", + "improvement_over_parent": null + }, + "node_2047": { + "node_id": "node_2047", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 285.86 kg\n Factor of Safety: 1.22\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.858321024628, + "fos_buckling": 1.2158546630911984, + "fos_yielding": 2.1873063370372052, + "deflection": 0.005548890453952395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_2046", + "improvement_over_parent": null + }, + "node_2048": { + "node_id": "node_2048", + "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 294.89 kg\n Factor of Safety: 1.45\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.88987963801645, + "fos_buckling": 1.4532404560567658, + "fos_yielding": 2.191838156779024, + "deflection": 0.005224976554064631, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.580)" + }, + "parent_node_id": "node_2047", + "improvement_over_parent": null + }, + "node_2049": { + "node_id": "node_2049", + "content": "MODIFICATION: Increase 12 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0073)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 305.43 kg\n Factor of Safety: 1.46\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.43057878247106, + "fos_buckling": 1.4569220308321162, + "fos_yielding": 2.188316092040072, + "deflection": 0.005139595202987131, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.527)" + }, + "parent_node_id": "node_2048", + "improvement_over_parent": null + }, + "node_2050": { + "node_id": "node_2050", + "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0073)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 307.38 kg\n Factor of Safety: 1.52\n Max Deflection: 5.12e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 307.3838217135865, + "fos_buckling": 1.5215983788491734, + "fos_yielding": 2.180234889840783, + "deflection": 0.005121827511935794, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.200)" + }, + "parent_node_id": "node_2049", + "improvement_over_parent": null + }, + "node_2051": { + "node_id": "node_2051", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2050", + "improvement_over_parent": null + }, + "node_2052": { + "node_id": "node_2052", + "content": "INITIAL DESIGN (Trace 294)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 202.58 kg\n Factor of Safety: 0.96\n Max Deflection: 3.36e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.5842285528004, + "fos_buckling": 0.9560941838006418, + "fos_yielding": 1.6822811409773482, + "deflection": 3357598497887.0474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2053": { + "node_id": "node_2053", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 222.70 kg\n Factor of Safety: 0.88\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.70286136257562, + "fos_buckling": 0.8803506078067928, + "fos_yielding": 1.869072379343016, + "deflection": 0.007330838688022604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003855)" + }, + "parent_node_id": "node_2052", + "improvement_over_parent": null + }, + "node_2054": { + "node_id": "node_2054", + "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 226.79 kg\n Factor of Safety: 0.88\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.78740878547302, + "fos_buckling": 0.8800867085726992, + "fos_yielding": 1.8690723793430153, + "deflection": 0.0071149284517348175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.276)" + }, + "parent_node_id": "node_2053", + "improvement_over_parent": null + }, + "node_2055": { + "node_id": "node_2055", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 290.63 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.6303084815768, + "fos_buckling": 1.07551819305537, + "fos_yielding": 2.3942619207733613, + "deflection": 0.0055820929748094045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_2054", + "improvement_over_parent": null + }, + "node_2056": { + "node_id": "node_2056", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.31867974006536, + "fos_buckling": 1.5136224597651415, + "fos_yielding": 2.1861878667759513, + "deflection": 0.0051563294451022505, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_2055", + "improvement_over_parent": null + }, + "node_2057": { + "node_id": "node_2057", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2056", + "improvement_over_parent": null + }, + "node_2058": { + "node_id": "node_2058", + "content": "INITIAL DESIGN (Trace 295)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 180.11 kg\n Factor of Safety: 0.51\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.1128013961672, + "fos_buckling": 0.5117704592983346, + "fos_yielding": 1.4474485135713235, + "deflection": 0.023637840241875752, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2059": { + "node_id": "node_2059", + "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 181.19 kg\n Factor of Safety: 0.51\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.19227159009282, + "fos_buckling": 0.5117704592983348, + "fos_yielding": 1.4474485135713242, + "deflection": 0.023734231323831498, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.222)" + }, + "parent_node_id": "node_2058", + "improvement_over_parent": null + }, + "node_2060": { + "node_id": "node_2060", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n\nPerformance:\n Mass: 182.63 kg\n Factor of Safety: 0.65\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.6301717985207, + "fos_buckling": 0.6486210531429721, + "fos_yielding": 1.1615019704437624, + "deflection": 0.010896941211323839, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001156)" + }, + "parent_node_id": "node_2059", + "improvement_over_parent": null + }, + "node_2061": { + "node_id": "node_2061", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 194.43 kg\n Factor of Safety: 0.62\n Max Deflection: 9.96e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.42554231019847, + "fos_buckling": 0.6249723304734592, + "fos_yielding": 1.4091605417778625, + "deflection": 0.009963764323896373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002672)" + }, + "parent_node_id": "node_2060", + "improvement_over_parent": null + }, + "node_2062": { + "node_id": "node_2062", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 252.96 kg\n Factor of Safety: 0.79\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.9595958409854, + "fos_buckling": 0.7860011334161583, + "fos_yielding": 1.8311044710779636, + "deflection": 0.007682818091682296, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_2061", + "improvement_over_parent": null + }, + "node_2063": { + "node_id": "node_2063", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 257.70 kg\n Factor of Safety: 1.33\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.7039954170295, + "fos_buckling": 1.326402599043552, + "fos_yielding": 1.8599202994087596, + "deflection": 0.006040751288405314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002790)" + }, + "parent_node_id": "node_2062", + "improvement_over_parent": null + }, + "node_2064": { + "node_id": "node_2064", + "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0065)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 265.87 kg\n Factor of Safety: 1.38\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.8666688850557, + "fos_buckling": 1.3799532768603873, + "fos_yielding": 1.8600617383979055, + "deflection": 0.005826699505527719, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.292)" + }, + "parent_node_id": "node_2063", + "improvement_over_parent": null + }, + "node_2065": { + "node_id": "node_2065", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0077)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 312.13 kg\n Factor of Safety: 1.57\n Max Deflection: 4.98e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 312.13240692932027, + "fos_buckling": 1.5718063820511523, + "fos_yielding": 2.182987966459864, + "deflection": 0.004980663523171506, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_2064", + "improvement_over_parent": null + }, + "node_2066": { + "node_id": "node_2066", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2065", + "improvement_over_parent": null + }, + "node_2067": { + "node_id": "node_2067", + "content": "INITIAL DESIGN (Trace 296)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2068": { + "node_id": "node_2068", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 189.87 kg\n Factor of Safety: 0.50\n Max Deflection: 3.08e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.86508066247978, + "fos_buckling": 0.49760261993583593, + "fos_yielding": 1.58514234873538, + "deflection": 3082913610511.737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003697)" + }, + "parent_node_id": "node_2067", + "improvement_over_parent": null + }, + "node_2069": { + "node_id": "node_2069", + "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 192.15 kg\n Factor of Safety: 0.50\n Max Deflection: 3.84e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.15092633359197, + "fos_buckling": 0.49760261993583593, + "fos_yielding": 1.6652775775090525, + "deflection": 3842752440760.066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.181)" + }, + "parent_node_id": "node_2068", + "improvement_over_parent": null + }, + "node_2070": { + "node_id": "node_2070", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n\nPerformance:\n Mass: 212.26 kg\n Factor of Safety: 0.74\n Max Deflection: 8.92e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.25734571170503, + "fos_buckling": 0.7407793853317668, + "fos_yielding": 1.6687631094406206, + "deflection": 0.008921438249444736, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004110)" + }, + "parent_node_id": "node_2069", + "improvement_over_parent": null + }, + "node_2071": { + "node_id": "node_2071", + "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n\nPerformance:\n Mass: 216.36 kg\n Factor of Safety: 0.74\n Max Deflection: 8.44e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.3647033203149, + "fos_buckling": 0.7412480755635023, + "fos_yielding": 1.6687454629785274, + "deflection": 0.008435649644823904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.282)" + }, + "parent_node_id": "node_2070", + "improvement_over_parent": null + }, + "node_2072": { + "node_id": "node_2072", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n\nPerformance:\n Mass: 229.56 kg\n Factor of Safety: 0.71\n Max Deflection: 8.42e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.56149429175466, + "fos_buckling": 0.7135724697954572, + "fos_yielding": 1.6667810307424626, + "deflection": 0.008424991242238371, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003330)" + }, + "parent_node_id": "node_2071", + "improvement_over_parent": null + }, + "node_2073": { + "node_id": "node_2073", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 297.75 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.746426617733, + "fos_buckling": 0.8891593057962283, + "fos_yielding": 2.158545275062412, + "deflection": 0.006520640788513603, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_2072", + "improvement_over_parent": null + }, + "node_2074": { + "node_id": "node_2074", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3206262827092, + "fos_buckling": 1.5137583829148933, + "fos_yielding": 2.186267529837008, + "deflection": 0.005156311828358362, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2073", + "improvement_over_parent": null + }, + "node_2075": { + "node_id": "node_2075", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2074", + "improvement_over_parent": null + }, + "node_2076": { + "node_id": "node_2076", + "content": "INITIAL DESIGN (Trace 297)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 198.14 kg\n Factor of Safety: 0.80\n Max Deflection: 8.62e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.14202323267986, + "fos_buckling": 0.8019482247428354, + "fos_yielding": 1.518592436285497, + "deflection": 0.00861510840957528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2077": { + "node_id": "node_2077", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 240.93 kg\n Factor of Safety: 0.95\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.93199062959258, + "fos_buckling": 0.9472460362537453, + "fos_yielding": 1.8446773772489506, + "deflection": 0.007109367104262813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_2076", + "improvement_over_parent": null + }, + "node_2078": { + "node_id": "node_2078", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n\nPerformance:\n Mass: 255.34 kg\n Factor of Safety: 1.31\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.34384612373228, + "fos_buckling": 1.3146230927931273, + "fos_yielding": 1.8424326829428512, + "deflection": 0.00610284778294243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003661)" + }, + "parent_node_id": "node_2077", + "improvement_over_parent": null + }, + "node_2079": { + "node_id": "node_2079", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.24 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.23914282109826, + "fos_buckling": 1.513391441094586, + "fos_yielding": 2.1856344921802546, + "deflection": 0.00515769205477837, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_2078", + "improvement_over_parent": null + }, + "node_2080": { + "node_id": "node_2080", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2079", + "improvement_over_parent": null + }, + "node_2081": { + "node_id": "node_2081", + "content": "INITIAL DESIGN (Trace 298)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 198.33 kg\n Factor of Safety: 0.81\n Max Deflection: 8.59e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.32777378245754, + "fos_buckling": 0.8095917794423767, + "fos_yielding": 1.4950893040799489, + "deflection": 0.008592141455826322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2082": { + "node_id": "node_2082", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n\nPerformance:\n Mass: 210.30 kg\n Factor of Safety: 0.92\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.30326617353867, + "fos_buckling": 0.9186613714172828, + "fos_yielding": 1.4877051630144988, + "deflection": 0.007419422266437744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003002)" + }, + "parent_node_id": "node_2081", + "improvement_over_parent": null + }, + "node_2083": { + "node_id": "node_2083", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n\nPerformance:\n Mass: 238.70 kg\n Factor of Safety: 1.02\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.7005015679792, + "fos_buckling": 1.0218222304524243, + "fos_yielding": 1.6874644303961004, + "deflection": 0.006550845456359048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_2082", + "improvement_over_parent": null + }, + "node_2084": { + "node_id": "node_2084", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 300.45 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.4538340181509, + "fos_buckling": 1.2297129262374569, + "fos_yielding": 2.1209480463488504, + "deflection": 0.005228756036164939, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_2083", + "improvement_over_parent": null + }, + "node_2085": { + "node_id": "node_2085", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.25808999729145, + "fos_buckling": 1.5134332287457657, + "fos_yielding": 2.185820156872328, + "deflection": 0.005157355301999099, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_2084", + "improvement_over_parent": null + }, + "node_2086": { + "node_id": "node_2086", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2085", + "improvement_over_parent": null + }, + "node_2087": { + "node_id": "node_2087", + "content": "INITIAL DESIGN (Trace 299)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2088": { + "node_id": "node_2088", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n\nPerformance:\n Mass: 240.84 kg\n Factor of Safety: 1.00\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.83869511033737, + "fos_buckling": 0.9989195508806402, + "fos_yielding": 1.9520216062342444, + "deflection": 0.006774212096765545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003916)" + }, + "parent_node_id": "node_2087", + "improvement_over_parent": null + }, + "node_2089": { + "node_id": "node_2089", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n\nPerformance:\n Mass: 262.65 kg\n Factor of Safety: 1.22\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.64714035949766, + "fos_buckling": 1.2210996699546262, + "fos_yielding": 1.757011095824861, + "deflection": 0.005885947864595394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004349)" + }, + "parent_node_id": "node_2088", + "improvement_over_parent": null + }, + "node_2090": { + "node_id": "node_2090", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n\nPerformance:\n Mass: 264.02 kg\n Factor of Safety: 1.22\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.02035947728865, + "fos_buckling": 1.2150940606792489, + "fos_yielding": 1.7483697683446737, + "deflection": 0.005846682453170295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.307)" + }, + "parent_node_id": "node_2089", + "improvement_over_parent": null + }, + "node_2091": { + "node_id": "node_2091", + "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0068)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n\nPerformance:\n Mass: 269.46 kg\n Factor of Safety: 1.21\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.46255567591936, + "fos_buckling": 1.2149221944945423, + "fos_yielding": 1.7481224742040262, + "deflection": 0.005783006981846941, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.661)" + }, + "parent_node_id": "node_2090", + "improvement_over_parent": null + }, + "node_2092": { + "node_id": "node_2092", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0076)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 300.53 kg\n Factor of Safety: 1.34\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.5321232440291, + "fos_buckling": 1.3382209758862627, + "fos_yielding": 1.9531601123906857, + "deflection": 0.0051956613620804575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_2091", + "improvement_over_parent": null + }, + "node_2093": { + "node_id": "node_2093", + "content": "MODIFICATION: Increase 12 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0076)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0067)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 309.48 kg\n Factor of Safety: 1.28\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 309.4843536552394, + "fos_buckling": 1.2791004024430674, + "fos_yielding": 1.9527324851272194, + "deflection": 0.005142614820304262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.580)" + }, + "parent_node_id": "node_2092", + "improvement_over_parent": null + }, + "node_2094": { + "node_id": "node_2094", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2093", + "improvement_over_parent": null + }, + "node_2095": { + "node_id": "node_2095", + "content": "INITIAL DESIGN (Trace 300)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 175.13 kg\n Factor of Safety: 0.39\n Max Deflection: 9.78e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.12981184707644, + "fos_buckling": 0.3887292196805735, + "fos_yielding": 1.262490329070028, + "deflection": 0.009776284695090998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2096": { + "node_id": "node_2096", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 192.68 kg\n Factor of Safety: 0.65\n Max Deflection: 8.18e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.68428351915796, + "fos_buckling": 0.6525103650265356, + "fos_yielding": 1.473914958783647, + "deflection": 0.008175359009161345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003333)" + }, + "parent_node_id": "node_2095", + "improvement_over_parent": null + }, + "node_2097": { + "node_id": "node_2097", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n\nPerformance:\n Mass: 203.23 kg\n Factor of Safety: 1.07\n Max Deflection: 7.57e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.23456482699027, + "fos_buckling": 1.0736257547185264, + "fos_yielding": 1.4902936143088787, + "deflection": 0.007572033154035282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002225)" + }, + "parent_node_id": "node_2096", + "improvement_over_parent": null + }, + "node_2098": { + "node_id": "node_2098", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n\nPerformance:\n Mass: 260.02 kg\n Factor of Safety: 1.33\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.0211564641889, + "fos_buckling": 1.3298778405680463, + "fos_yielding": 1.9038101557523959, + "deflection": 0.005944389693231491, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_2097", + "improvement_over_parent": null + }, + "node_2099": { + "node_id": "node_2099", + "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0055)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n\nPerformance:\n Mass: 266.01 kg\n Factor of Safety: 1.36\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.00887535619796, + "fos_buckling": 1.3570683458242232, + "fos_yielding": 1.9015672828969206, + "deflection": 0.005876409523610964, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.330)" + }, + "parent_node_id": "node_2098", + "improvement_over_parent": null + }, + "node_2100": { + "node_id": "node_2100", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0064)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n\nPerformance:\n Mass: 305.63 kg\n Factor of Safety: 1.52\n Max Deflection: 5.13e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 305.62754541397163, + "fos_buckling": 1.5199752699848161, + "fos_yielding": 2.183500938331116, + "deflection": 0.00512940008903397, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_2099", + "improvement_over_parent": null + }, + "node_2101": { + "node_id": "node_2101", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2100", + "improvement_over_parent": null + }, + "node_2102": { + "node_id": "node_2102", + "content": "INITIAL DESIGN (Trace 301)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2103": { + "node_id": "node_2103", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 286.29 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.2947197179306, + "fos_buckling": 1.090693797349381, + "fos_yielding": 2.1896601129467936, + "deflection": 0.0060045721029973135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_2102", + "improvement_over_parent": null + }, + "node_2104": { + "node_id": "node_2104", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41267494950506, + "fos_buckling": 1.5140513260232196, + "fos_yielding": 2.1869390657938568, + "deflection": 0.005154763213045904, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_2103", + "improvement_over_parent": null + }, + "node_2105": { + "node_id": "node_2105", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2104", + "improvement_over_parent": null + }, + "node_2106": { + "node_id": "node_2106", + "content": "INITIAL DESIGN (Trace 302)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2107": { + "node_id": "node_2107", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 278.71 kg\n Factor of Safety: 1.08\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.7070031779488, + "fos_buckling": 1.0767181201293696, + "fos_yielding": 2.3950779389083556, + "deflection": 0.0058723006717252965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_2106", + "improvement_over_parent": null + }, + "node_2108": { + "node_id": "node_2108", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 291.40 kg\n Factor of Safety: 1.26\n Max Deflection: 5.45e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.3953744364374, + "fos_buckling": 1.2631305350670772, + "fos_yielding": 2.1870361689985307, + "deflection": 0.005446923433789251, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_2107", + "improvement_over_parent": null + }, + "node_2109": { + "node_id": "node_2109", + "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0064)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 297.81 kg\n Factor of Safety: 1.24\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.8142548400751, + "fos_buckling": 1.2387875879806853, + "fos_yielding": 2.1867815133448305, + "deflection": 0.005389614331844158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.299)" + }, + "parent_node_id": "node_2108", + "improvement_over_parent": null + }, + "node_2110": { + "node_id": "node_2110", + "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0064)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 302.06 kg\n Factor of Safety: 1.34\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.06059645768875, + "fos_buckling": 1.3406142718171297, + "fos_yielding": 2.1864952717665846, + "deflection": 0.0053049276919105845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.362)" + }, + "parent_node_id": "node_2109", + "improvement_over_parent": null + }, + "node_2111": { + "node_id": "node_2111", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2110", + "improvement_over_parent": null + }, + "node_2112": { + "node_id": "node_2112", + "content": "INITIAL DESIGN (Trace 303)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 163.74 kg\n Factor of Safety: 0.72\n Max Deflection: 9.69e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.74289077091473, + "fos_buckling": 0.7181767528931028, + "fos_yielding": 1.2510444873562832, + "deflection": 0.00969226000823865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2113": { + "node_id": "node_2113", + "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 169.38 kg\n Factor of Safety: 0.72\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.37746419224464, + "fos_buckling": 0.7178773376140377, + "fos_yielding": 1.2510444873562832, + "deflection": 0.00948663942753777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.639)" + }, + "parent_node_id": "node_2112", + "improvement_over_parent": null + }, + "node_2114": { + "node_id": "node_2114", + "content": "MODIFICATION: Increase 4 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 174.09 kg\n Factor of Safety: 0.72\n Max Deflection: 9.01e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.08544437659822, + "fos_buckling": 0.7171279024361721, + "fos_yielding": 1.2510444873562832, + "deflection": 0.009008088576206377, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.439)" + }, + "parent_node_id": "node_2113", + "improvement_over_parent": null + }, + "node_2115": { + "node_id": "node_2115", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 217.85 kg\n Factor of Safety: 0.87\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.8496297100996, + "fos_buckling": 0.8687833746490399, + "fos_yielding": 1.5687014985399288, + "deflection": 0.007225994426291638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_2114", + "improvement_over_parent": null + }, + "node_2116": { + "node_id": "node_2116", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 231.69 kg\n Factor of Safety: 1.12\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.6940660669165, + "fos_buckling": 1.123039397237548, + "fos_yielding": 1.4410429633807693, + "deflection": 0.006712682920876304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003169)" + }, + "parent_node_id": "node_2115", + "improvement_over_parent": null + }, + "node_2117": { + "node_id": "node_2117", + "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 232.89 kg\n Factor of Safety: 1.22\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.89207038071515, + "fos_buckling": 1.2162107578507249, + "fos_yielding": 1.6812659049695833, + "deflection": 0.006679490629018389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.185)" + }, + "parent_node_id": "node_2116", + "improvement_over_parent": null + }, + "node_2118": { + "node_id": "node_2118", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3408529497944, + "fos_buckling": 1.513659973147821, + "fos_yielding": 2.186328470452471, + "deflection": 0.005155818031207797, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_2117", + "improvement_over_parent": null + }, + "node_2119": { + "node_id": "node_2119", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2118", + "improvement_over_parent": null + }, + "node_2120": { + "node_id": "node_2120", + "content": "INITIAL DESIGN (Trace 304)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 217.91 kg\n Factor of Safety: 0.82\n Max Deflection: 9.09e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.91366985757617, + "fos_buckling": 0.8159501421731669, + "fos_yielding": 1.8830003169420175, + "deflection": 0.00908885985666948, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2121": { + "node_id": "node_2121", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 232.98 kg\n Factor of Safety: 0.82\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.97894644837783, + "fos_buckling": 0.8150208418842304, + "fos_yielding": 1.8808865657944207, + "deflection": 0.007613857148678478, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003841)" + }, + "parent_node_id": "node_2120", + "improvement_over_parent": null + }, + "node_2122": { + "node_id": "node_2122", + "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 238.41 kg\n Factor of Safety: 0.82\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.41357146670663, + "fos_buckling": 0.8150208418842301, + "fos_yielding": 1.9036745043245547, + "deflection": 0.0069407136687838255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.397)" + }, + "parent_node_id": "node_2121", + "improvement_over_parent": null + }, + "node_2123": { + "node_id": "node_2123", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n\nPerformance:\n Mass: 256.29 kg\n Factor of Safety: 1.37\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.29248479535676, + "fos_buckling": 1.3667978561559344, + "fos_yielding": 1.928364420863316, + "deflection": 0.006335885007866539, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003897)" + }, + "parent_node_id": "node_2122", + "improvement_over_parent": null + }, + "node_2124": { + "node_id": "node_2124", + "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n\nPerformance:\n Mass: 263.08 kg\n Factor of Safety: 1.36\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.08305008661097, + "fos_buckling": 1.3621071737202721, + "fos_yielding": 1.9286020457960773, + "deflection": 0.006022472250392162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.468)" + }, + "parent_node_id": "node_2123", + "improvement_over_parent": null + }, + "node_2125": { + "node_id": "node_2125", + "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n\nPerformance:\n Mass: 267.04 kg\n Factor of Safety: 1.36\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.0398164840581, + "fos_buckling": 1.3644603505772714, + "fos_yielding": 1.9262209736762694, + "deflection": 0.005840434532285927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.214)" + }, + "parent_node_id": "node_2124", + "improvement_over_parent": null + }, + "node_2126": { + "node_id": "node_2126", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.25595110355016, + "fos_buckling": 1.5133812731517544, + "fos_yielding": 2.185653687239215, + "deflection": 0.00515713445949362, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_2125", + "improvement_over_parent": null + }, + "node_2127": { + "node_id": "node_2127", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2126", + "improvement_over_parent": null + }, + "node_2128": { + "node_id": "node_2128", + "content": "INITIAL DESIGN (Trace 305)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 242.47 kg\n Factor of Safety: 1.02\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.47396419870273, + "fos_buckling": 1.0236290170702078, + "fos_yielding": 1.9867882443567682, + "deflection": 0.006839380271513055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2129": { + "node_id": "node_2129", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 274.30 kg\n Factor of Safety: 1.13\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.301936856113, + "fos_buckling": 1.1345479598241963, + "fos_yielding": 2.245515006109856, + "deflection": 0.00605884928035201, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_2128", + "improvement_over_parent": null + }, + "node_2130": { + "node_id": "node_2130", + "content": "MODIFICATION: Increase 13 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.24 kg\n Factor of Safety: 1.13\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.2381900691015, + "fos_buckling": 1.134741154056917, + "fos_yielding": 2.225416376708247, + "deflection": 0.006024415036572109, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.538)" + }, + "parent_node_id": "node_2129", + "improvement_over_parent": null + }, + "node_2131": { + "node_id": "node_2131", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4617104502495, + "fos_buckling": 1.514270870510374, + "fos_yielding": 2.187296457977363, + "deflection": 0.005153941287163819, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_2130", + "improvement_over_parent": null + }, + "node_2132": { + "node_id": "node_2132", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2131", + "improvement_over_parent": null + }, + "node_2133": { + "node_id": "node_2133", + "content": "INITIAL DESIGN (Trace 306)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 228.55 kg\n Factor of Safety: 0.97\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.55283825278661, + "fos_buckling": 0.967452538130346, + "fos_yielding": 2.0906374490412727, + "deflection": 0.007640150336360635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2134": { + "node_id": "node_2134", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 243.49 kg\n Factor of Safety: 0.97\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.48784425463182, + "fos_buckling": 0.966394427501347, + "fos_yielding": 2.0906374490412727, + "deflection": 0.006682668292773747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003805)" + }, + "parent_node_id": "node_2133", + "improvement_over_parent": null + }, + "node_2135": { + "node_id": "node_2135", + "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 248.98 kg\n Factor of Safety: 0.97\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.9836387569159, + "fos_buckling": 0.9656171761774343, + "fos_yielding": 2.0906374490412727, + "deflection": 0.006373526266218552, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.575)" + }, + "parent_node_id": "node_2134", + "improvement_over_parent": null + }, + "node_2136": { + "node_id": "node_2136", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 285.25 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.24633226249426, + "fos_buckling": 1.076176340080595, + "fos_yielding": 2.394666854849555, + "deflection": 0.005580382413628645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_2135", + "improvement_over_parent": null + }, + "node_2137": { + "node_id": "node_2137", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.28 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.278098947724, + "fos_buckling": 1.5134407062441473, + "fos_yielding": 2.185824040449938, + "deflection": 0.005157166530388582, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_2136", + "improvement_over_parent": null + }, + "node_2138": { + "node_id": "node_2138", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2137", + "improvement_over_parent": null + }, + "node_2139": { + "node_id": "node_2139", + "content": "INITIAL DESIGN (Trace 307)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 226.05 kg\n Factor of Safety: 0.45\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.04725848298233, + "fos_buckling": 0.44619224138707225, + "fos_yielding": 1.1505612105719831, + "deflection": 0.012806855028306157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2140": { + "node_id": "node_2140", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n\nPerformance:\n Mass: 258.20 kg\n Factor of Safety: 1.24\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.20123557365133, + "fos_buckling": 1.235300809617668, + "fos_yielding": 1.7733956827170543, + "deflection": 0.006013930056313547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005239)" + }, + "parent_node_id": "node_2139", + "improvement_over_parent": null + }, + "node_2141": { + "node_id": "node_2141", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 292.13 kg\n Factor of Safety: 1.38\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.13475153912987, + "fos_buckling": 1.3773885598558246, + "fos_yielding": 2.0089223454763503, + "deflection": 0.005329086099137814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_2140", + "improvement_over_parent": null + }, + "node_2142": { + "node_id": "node_2142", + "content": "MODIFICATION: Increase 11 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0074)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.38\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.3552374843572, + "fos_buckling": 1.3785710828886009, + "fos_yielding": 2.0106470562905834, + "deflection": 0.005279438743924745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.650)" + }, + "parent_node_id": "node_2141", + "improvement_over_parent": null + }, + "node_2143": { + "node_id": "node_2143", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0074)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 305.47 kg\n Factor of Safety: 1.43\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.4712384304173, + "fos_buckling": 1.4273405266110517, + "fos_yielding": 2.189461585659919, + "deflection": 0.005230791269861267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.314)" + }, + "parent_node_id": "node_2142", + "improvement_over_parent": null + }, + "node_2144": { + "node_id": "node_2144", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2143", + "improvement_over_parent": null + }, + "node_2145": { + "node_id": "node_2145", + "content": "INITIAL DESIGN (Trace 308)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 292.14 kg\n Factor of Safety: 1.17\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.1415499130421, + "fos_buckling": 1.1705266113177297, + "fos_yielding": 2.1742717769280775, + "deflection": 0.005526039378379836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2146": { + "node_id": "node_2146", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 293.08 kg\n Factor of Safety: 1.38\n Max Deflection: 5.46e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.07848161439574, + "fos_buckling": 1.3838096949610161, + "fos_yielding": 2.175442902777997, + "deflection": 0.0054629666153670434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.289)" + }, + "parent_node_id": "node_2145", + "improvement_over_parent": null + }, + "node_2147": { + "node_id": "node_2147", + "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.67 kg\n Factor of Safety: 1.49\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.6676171579691, + "fos_buckling": 1.4868705389380776, + "fos_yielding": 2.1757088827993507, + "deflection": 0.005232958542871589, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.381)" + }, + "parent_node_id": "node_2146", + "improvement_over_parent": null + }, + "node_2148": { + "node_id": "node_2148", + "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.26 kg\n Factor of Safety: 1.48\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.2574908506407, + "fos_buckling": 1.483458673825769, + "fos_yielding": 2.186012267821242, + "deflection": 0.005200734405764639, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.183)" + }, + "parent_node_id": "node_2147", + "improvement_over_parent": null + }, + "node_2149": { + "node_id": "node_2149", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41201862034495, + "fos_buckling": 1.5140192400012777, + "fos_yielding": 2.1869363015744407, + "deflection": 0.005154845411392907, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.287)" + }, + "parent_node_id": "node_2148", + "improvement_over_parent": null + }, + "node_2150": { + "node_id": "node_2150", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2149", + "improvement_over_parent": null + }, + "node_2151": { + "node_id": "node_2151", + "content": "INITIAL DESIGN (Trace 309)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 227.41 kg\n Factor of Safety: 1.13\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.4108298324044, + "fos_buckling": 1.1293466206337217, + "fos_yielding": 1.71327186544186, + "deflection": 0.007004408632320202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2152": { + "node_id": "node_2152", + "content": "MODIFICATION: Increase 0 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 233.82 kg\n Factor of Safety: 1.14\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.82472537872187, + "fos_buckling": 1.1423202600546054, + "fos_yielding": 1.7135024683819118, + "deflection": 0.006621840273894857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.506)" + }, + "parent_node_id": "node_2151", + "improvement_over_parent": null + }, + "node_2153": { + "node_id": "node_2153", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.30 kg\n Factor of Safety: 1.42\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.30091693627116, + "fos_buckling": 1.4206345814394565, + "fos_yielding": 2.189408410120106, + "deflection": 0.005199000771312238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_2152", + "improvement_over_parent": null + }, + "node_2154": { + "node_id": "node_2154", + "content": "MODIFICATION: Increase 13 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.48 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.483664085406, + "fos_buckling": 1.514066731995897, + "fos_yielding": 2.1871973587579094, + "deflection": 0.005153539325311065, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.241)" + }, + "parent_node_id": "node_2153", + "improvement_over_parent": null + }, + "node_2155": { + "node_id": "node_2155", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2154", + "improvement_over_parent": null + }, + "node_2156": { + "node_id": "node_2156", + "content": "INITIAL DESIGN (Trace 310)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 242.74 kg\n Factor of Safety: 1.15\n Max Deflection: 6.44e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.74303390814774, + "fos_buckling": 1.1495177557031286, + "fos_yielding": 1.8447920997908283, + "deflection": 0.006443528272157159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2157": { + "node_id": "node_2157", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 291.10 kg\n Factor of Safety: 1.34\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.09887202624077, + "fos_buckling": 1.3449499404290894, + "fos_yielding": 2.208402763760871, + "deflection": 0.0053922505169324885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_2156", + "improvement_over_parent": null + }, + "node_2158": { + "node_id": "node_2158", + "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.03 kg\n Factor of Safety: 1.33\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.02739324629886, + "fos_buckling": 1.3282431960526564, + "fos_yielding": 2.2062558389829996, + "deflection": 0.005256527763934824, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.185)" + }, + "parent_node_id": "node_2157", + "improvement_over_parent": null + }, + "node_2159": { + "node_id": "node_2159", + "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.11 kg\n Factor of Safety: 1.47\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.10759798117647, + "fos_buckling": 1.4725004916980153, + "fos_yielding": 2.187049718817169, + "deflection": 0.005215669755055783, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.520)" + }, + "parent_node_id": "node_2158", + "improvement_over_parent": null + }, + "node_2160": { + "node_id": "node_2160", + "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4062537713644, + "fos_buckling": 1.5139881256320513, + "fos_yielding": 2.1867959583023073, + "deflection": 0.005154615978487705, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.368)" + }, + "parent_node_id": "node_2159", + "improvement_over_parent": null + }, + "node_2161": { + "node_id": "node_2161", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2160", + "improvement_over_parent": null + }, + "node_2162": { + "node_id": "node_2162", + "content": "INITIAL DESIGN (Trace 311)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 154.14 kg\n Factor of Safety: 0.20\n Max Deflection: 5.23e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.13833690838845, + "fos_buckling": 0.19862974135410247, + "fos_yielding": 0.5283807829117932, + "deflection": 5228641648358.751, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2163": { + "node_id": "node_2163", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n\nPerformance:\n Mass: 178.24 kg\n Factor of Safety: 0.32\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.23579766640182, + "fos_buckling": 0.3151483970785879, + "fos_yielding": 0.9264069087446409, + "deflection": 0.01975564047693154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003846)" + }, + "parent_node_id": "node_2162", + "improvement_over_parent": null + }, + "node_2164": { + "node_id": "node_2164", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n\nPerformance:\n Mass: 181.93 kg\n Factor of Safety: 0.31\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.92879906758083, + "fos_buckling": 0.31497439201041544, + "fos_yielding": 0.9259419209418912, + "deflection": 0.016145099975062097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002134)" + }, + "parent_node_id": "node_2163", + "improvement_over_parent": null + }, + "node_2165": { + "node_id": "node_2165", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n\nPerformance:\n Mass: 199.21 kg\n Factor of Safety: 0.88\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.2120819774283, + "fos_buckling": 0.8754253181224273, + "fos_yielding": 1.0934851235154504, + "deflection": 0.007796308869515313, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003498)" + }, + "parent_node_id": "node_2164", + "improvement_over_parent": null + }, + "node_2166": { + "node_id": "node_2166", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n\nPerformance:\n Mass: 244.61 kg\n Factor of Safety: 1.06\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.61184200940454, + "fos_buckling": 1.0572771781531922, + "fos_yielding": 1.3461753370121095, + "deflection": 0.006371137832046593, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_2165", + "improvement_over_parent": null + }, + "node_2167": { + "node_id": "node_2167", + "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n\nPerformance:\n Mass: 250.01 kg\n Factor of Safety: 1.06\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.0120502496515, + "fos_buckling": 1.0582140182916009, + "fos_yielding": 1.3473681662106471, + "deflection": 0.006329731906765288, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.362)" + }, + "parent_node_id": "node_2166", + "improvement_over_parent": null + }, + "node_2168": { + "node_id": "node_2168", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0061)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 307.23 kg\n Factor of Safety: 1.27\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 307.23457407526513, + "fos_buckling": 1.2741902036111037, + "fos_yielding": 1.6625433759477914, + "deflection": 0.005170914759680776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_2167", + "improvement_over_parent": null + }, + "node_2169": { + "node_id": "node_2169", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2168", + "improvement_over_parent": null + }, + "node_2170": { + "node_id": "node_2170", + "content": "INITIAL DESIGN (Trace 312)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 170.25 kg\n Factor of Safety: 0.40\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.24564837099206, + "fos_buckling": 0.3984783275038898, + "fos_yielding": 1.3008141938655613, + "deflection": 0.01134173568367859, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2171": { + "node_id": "node_2171", + "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 177.71 kg\n Factor of Safety: 0.40\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.70517173489338, + "fos_buckling": 0.3982589244484436, + "fos_yielding": 1.3006523268764434, + "deflection": 0.010307204121089389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.439)" + }, + "parent_node_id": "node_2170", + "improvement_over_parent": null + }, + "node_2172": { + "node_id": "node_2172", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 195.80 kg\n Factor of Safety: 0.81\n Max Deflection: 8.50e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.799213512601, + "fos_buckling": 0.8116641064382201, + "fos_yielding": 1.5394835629462909, + "deflection": 0.008497676084046266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003442)" + }, + "parent_node_id": "node_2171", + "improvement_over_parent": null + }, + "node_2173": { + "node_id": "node_2173", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n\nPerformance:\n Mass: 212.88 kg\n Factor of Safety: 1.13\n Max Deflection: 7.30e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.87720285817434, + "fos_buckling": 1.125760642144241, + "fos_yielding": 1.5375934949801373, + "deflection": 0.007296587437245895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003344)" + }, + "parent_node_id": "node_2172", + "improvement_over_parent": null + }, + "node_2174": { + "node_id": "node_2174", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n\nPerformance:\n Mass: 248.86 kg\n Factor of Safety: 1.29\n Max Deflection: 6.26e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.8618468180344, + "fos_buckling": 1.286403631583182, + "fos_yielding": 1.7960311504193567, + "deflection": 0.006258700764966582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_2173", + "improvement_over_parent": null + }, + "node_2175": { + "node_id": "node_2175", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.48 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.47850313882077, + "fos_buckling": 1.5141526738565907, + "fos_yielding": 2.187471610750114, + "deflection": 0.005153708937496852, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_2174", + "improvement_over_parent": null + }, + "node_2176": { + "node_id": "node_2176", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2175", + "improvement_over_parent": null + }, + "node_2177": { + "node_id": "node_2177", + "content": "INITIAL DESIGN (Trace 313)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 218.10 kg\n Factor of Safety: 0.44\n Max Deflection: 8.41e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.1043659958218, + "fos_buckling": 0.4421751973214736, + "fos_yielding": 1.4725685139916658, + "deflection": 0.008411003339055879, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2178": { + "node_id": "node_2178", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 274.19 kg\n Factor of Safety: 0.53\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.1909376111825, + "fos_buckling": 0.5319325326529758, + "fos_yielding": 1.8468447943940896, + "deflection": 0.006733448679872009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_2177", + "improvement_over_parent": null + }, + "node_2179": { + "node_id": "node_2179", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.98 kg\n Factor of Safety: 1.48\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.9815651535965, + "fos_buckling": 1.4828457882510497, + "fos_yielding": 2.1864234446420916, + "deflection": 0.005201360640375489, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_2178", + "improvement_over_parent": null + }, + "node_2180": { + "node_id": "node_2180", + "content": "MODIFICATION: Increase 3 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.31870396800383, + "fos_buckling": 1.5136395884309177, + "fos_yielding": 2.1862333347478105, + "deflection": 0.0051563835070929, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.266)" + }, + "parent_node_id": "node_2179", + "improvement_over_parent": null + }, + "node_2181": { + "node_id": "node_2181", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2180", + "improvement_over_parent": null + }, + "node_2182": { + "node_id": "node_2182", + "content": "INITIAL DESIGN (Trace 314)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 198.43 kg\n Factor of Safety: 0.89\n Max Deflection: 8.62e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.43236728208757, + "fos_buckling": 0.8928847977759582, + "fos_yielding": 1.7484206738378303, + "deflection": 0.008615696752078905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2183": { + "node_id": "node_2183", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 216.60 kg\n Factor of Safety: 0.89\n Max Deflection: 7.66e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.59932001501366, + "fos_buckling": 0.8910715952718348, + "fos_yielding": 1.7217854242867079, + "deflection": 0.007659174699599893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003669)" + }, + "parent_node_id": "node_2182", + "improvement_over_parent": null + }, + "node_2184": { + "node_id": "node_2184", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 276.83 kg\n Factor of Safety: 1.09\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.8272816159909, + "fos_buckling": 1.0908809765505485, + "fos_yielding": 2.1969650625521573, + "deflection": 0.006022555822174036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_2183", + "improvement_over_parent": null + }, + "node_2185": { + "node_id": "node_2185", + "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 278.92 kg\n Factor of Safety: 1.09\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.91968021711244, + "fos_buckling": 1.0907963107597747, + "fos_yielding": 2.188569379949277, + "deflection": 0.006005106902620196, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.217)" + }, + "parent_node_id": "node_2184", + "improvement_over_parent": null + }, + "node_2186": { + "node_id": "node_2186", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.26080822248935, + "fos_buckling": 1.5134883274242217, + "fos_yielding": 2.185743548072507, + "deflection": 0.0051573846623179445, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_2185", + "improvement_over_parent": null + }, + "node_2187": { + "node_id": "node_2187", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2186", + "improvement_over_parent": null + }, + "node_2188": { + "node_id": "node_2188", + "content": "INITIAL DESIGN (Trace 315)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 248.85 kg\n Factor of Safety: 0.97\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.85345941065754, + "fos_buckling": 0.9743572826272661, + "fos_yielding": 1.8830119492369566, + "deflection": 0.0065272193320529935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2189": { + "node_id": "node_2189", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 289.31 kg\n Factor of Safety: 1.12\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 289.30784912289784, + "fos_buckling": 1.1173689892458774, + "fos_yielding": 2.186070256314724, + "deflection": 0.005627745958709281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_2188", + "improvement_over_parent": null + }, + "node_2190": { + "node_id": "node_2190", + "content": "MODIFICATION: Increase 10 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.92 kg\n Factor of Safety: 1.31\n Max Deflection: 5.36e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.9225759346568, + "fos_buckling": 1.312335429274873, + "fos_yielding": 2.186332268248303, + "deflection": 0.005361386902579479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.318)" + }, + "parent_node_id": "node_2189", + "improvement_over_parent": null + }, + "node_2191": { + "node_id": "node_2191", + "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3569405838533, + "fos_buckling": 1.5139195151958633, + "fos_yielding": 2.186493848092212, + "deflection": 0.005155680589073509, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.282)" + }, + "parent_node_id": "node_2190", + "improvement_over_parent": null + }, + "node_2192": { + "node_id": "node_2192", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2191", + "improvement_over_parent": null + }, + "node_2193": { + "node_id": "node_2193", + "content": "INITIAL DESIGN (Trace 316)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 185.87 kg\n Factor of Safety: 0.37\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.87132144300995, + "fos_buckling": 0.3694131836859719, + "fos_yielding": 1.1899023529258015, + "deflection": 0.013414756314825797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2194": { + "node_id": "node_2194", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n\nPerformance:\n Mass: 211.61 kg\n Factor of Safety: 1.13\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.6109948303748, + "fos_buckling": 1.1344756837314922, + "fos_yielding": 1.537084163929767, + "deflection": 0.0073205168778313675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004125)" + }, + "parent_node_id": "node_2193", + "improvement_over_parent": null + }, + "node_2195": { + "node_id": "node_2195", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 240.77 kg\n Factor of Safety: 1.27\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.76904837529162, + "fos_buckling": 1.266745922880747, + "fos_yielding": 1.7476235316163622, + "deflection": 0.006448474673575808, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_2194", + "improvement_over_parent": null + }, + "node_2196": { + "node_id": "node_2196", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 299.17 kg\n Factor of Safety: 1.51\n Max Deflection: 5.21e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 299.17042885738175, + "fos_buckling": 1.5145100079120941, + "fos_yielding": 2.168403261898594, + "deflection": 0.005213033736657327, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_2195", + "improvement_over_parent": null + }, + "node_2197": { + "node_id": "node_2197", + "content": "MODIFICATION: Increase 2 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3901010286917, + "fos_buckling": 1.5139560527099873, + "fos_yielding": 2.1867917426976664, + "deflection": 0.00515511307696976, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.333)" + }, + "parent_node_id": "node_2196", + "improvement_over_parent": null + }, + "node_2198": { + "node_id": "node_2198", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2197", + "improvement_over_parent": null + }, + "node_2199": { + "node_id": "node_2199", + "content": "INITIAL DESIGN (Trace 317)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 163.78 kg\n Factor of Safety: 0.53\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.78027214613383, + "fos_buckling": 0.5278610785327055, + "fos_yielding": 1.2072159092862136, + "deflection": 0.011704762926167513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2200": { + "node_id": "node_2200", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 166.09 kg\n Factor of Safety: 0.54\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.09102667914436, + "fos_buckling": 0.5351532660640335, + "fos_yielding": 1.2076442770421931, + "deflection": 0.011602626132594615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.198)" + }, + "parent_node_id": "node_2199", + "improvement_over_parent": null + }, + "node_2201": { + "node_id": "node_2201", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 189.51 kg\n Factor of Safety: 0.60\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.5116201935671, + "fos_buckling": 0.6026737677636759, + "fos_yielding": 1.3772093052856067, + "deflection": 0.01018222074382261, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_2200", + "improvement_over_parent": null + }, + "node_2202": { + "node_id": "node_2202", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n\nPerformance:\n Mass: 193.06 kg\n Factor of Safety: 1.03\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.05894014147825, + "fos_buckling": 1.0338051920822773, + "fos_yielding": 1.3950134171937822, + "deflection": 0.008033328239747926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002045)" + }, + "parent_node_id": "node_2201", + "improvement_over_parent": null + }, + "node_2203": { + "node_id": "node_2203", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 237.18 kg\n Factor of Safety: 1.24\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.17868176640104, + "fos_buckling": 1.235325820772298, + "fos_yielding": 1.712090835995454, + "deflection": 0.0065610751571824, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_2202", + "improvement_over_parent": null + }, + "node_2204": { + "node_id": "node_2204", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.09 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.08686755909116, + "fos_buckling": 1.5127585967878532, + "fos_yielding": 2.184569241270698, + "deflection": 0.005160160594510846, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_2203", + "improvement_over_parent": null + }, + "node_2205": { + "node_id": "node_2205", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2204", + "improvement_over_parent": null + }, + "node_2206": { + "node_id": "node_2206", + "content": "INITIAL DESIGN (Trace 318)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 248.34 kg\n Factor of Safety: 0.67\n Max Deflection: 7.88e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.33862993523084, + "fos_buckling": 0.665595458017189, + "fos_yielding": 1.831746831709806, + "deflection": 0.007883340179444517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2207": { + "node_id": "node_2207", + "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 252.13 kg\n Factor of Safety: 0.77\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.13197368273543, + "fos_buckling": 0.773626094158737, + "fos_yielding": 1.8296927570375137, + "deflection": 0.007680380815494225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.258)" + }, + "parent_node_id": "node_2206", + "improvement_over_parent": null + }, + "node_2208": { + "node_id": "node_2208", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 256.85 kg\n Factor of Safety: 1.32\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.8511985047567, + "fos_buckling": 1.321078604707911, + "fos_yielding": 1.8532555417599788, + "deflection": 0.0060677101543325515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002774)" + }, + "parent_node_id": "node_2207", + "improvement_over_parent": null + }, + "node_2209": { + "node_id": "node_2209", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.387477956696, + "fos_buckling": 1.5139536639761955, + "fos_yielding": 2.1867081693447634, + "deflection": 0.005155212427064689, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_2208", + "improvement_over_parent": null + }, + "node_2210": { + "node_id": "node_2210", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2209", + "improvement_over_parent": null + }, + "node_2211": { + "node_id": "node_2211", + "content": "INITIAL DESIGN (Trace 319)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 183.34 kg\n Factor of Safety: 0.25\n Max Deflection: 2.05e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.33829513731294, + "fos_buckling": 0.2518610858052845, + "fos_yielding": 1.1888567615515349, + "deflection": 20520059131129.254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2212": { + "node_id": "node_2212", + "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 186.89 kg\n Factor of Safety: 0.62\n Max Deflection: 1.33e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.8853797929235, + "fos_buckling": 0.61579942329658, + "fos_yielding": 1.7622649457510777, + "deflection": 13321147577170.816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.372)" + }, + "parent_node_id": "node_2211", + "improvement_over_parent": null + }, + "node_2213": { + "node_id": "node_2213", + "content": "MODIFICATION: Increase 13 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 189.73 kg\n Factor of Safety: 0.96\n Max Deflection: 8.39e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.72979662935228, + "fos_buckling": 0.9571475622085652, + "fos_yielding": 1.9496288745931798, + "deflection": 8392197471274.777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.181)" + }, + "parent_node_id": "node_2212", + "improvement_over_parent": null + }, + "node_2214": { + "node_id": "node_2214", + "content": "MODIFICATION: Increase 7 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 190.48 kg\n Factor of Safety: 1.25\n Max Deflection: 1.02e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.4772755371432, + "fos_buckling": 1.251571745969002, + "fos_yielding": 1.7905902431051255, + "deflection": 10197275495369.076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.575)" + }, + "parent_node_id": "node_2213", + "improvement_over_parent": null + }, + "node_2215": { + "node_id": "node_2215", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n\nPerformance:\n Mass: 218.20 kg\n Factor of Safety: 0.87\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.20464584163412, + "fos_buckling": 0.8712570614549938, + "fos_yielding": 1.6715049269798115, + "deflection": 0.007835722753972063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004466)" + }, + "parent_node_id": "node_2214", + "improvement_over_parent": null + }, + "node_2216": { + "node_id": "node_2216", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n\nPerformance:\n Mass: 231.25 kg\n Factor of Safety: 1.21\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.25341714042384, + "fos_buckling": 1.208963953213922, + "fos_yielding": 1.6694927494909475, + "deflection": 0.0067263036499382095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003290)" + }, + "parent_node_id": "node_2215", + "improvement_over_parent": null + }, + "node_2217": { + "node_id": "node_2217", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 261.82 kg\n Factor of Safety: 1.34\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.82107297887774, + "fos_buckling": 1.3423089755724609, + "fos_yielding": 1.888853856593724, + "deflection": 0.005954874503614651, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_2216", + "improvement_over_parent": null + }, + "node_2218": { + "node_id": "node_2218", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.52825414205256, + "fos_buckling": 1.514474159272224, + "fos_yielding": 2.187662564511148, + "deflection": 0.00515294939272659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_2217", + "improvement_over_parent": null + }, + "node_2219": { + "node_id": "node_2219", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2218", + "improvement_over_parent": null + }, + "node_2220": { + "node_id": "node_2220", + "content": "INITIAL DESIGN (Trace 320)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 191.69 kg\n Factor of Safety: 0.69\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.68710192863153, + "fos_buckling": 0.6891447911721249, + "fos_yielding": 1.5074143695298459, + "deflection": 0.010739288821829373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2221": { + "node_id": "node_2221", + "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 194.43 kg\n Factor of Safety: 0.69\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.42968100664723, + "fos_buckling": 0.689475878803816, + "fos_yielding": 1.5074058128390107, + "deflection": 0.01074157314259122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.318)" + }, + "parent_node_id": "node_2220", + "improvement_over_parent": null + }, + "node_2222": { + "node_id": "node_2222", + "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 199.88 kg\n Factor of Safety: 0.71\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.88304907995254, + "fos_buckling": 0.7138668788152346, + "fos_yielding": 1.5086575396137605, + "deflection": 0.010522065571062894, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.456)" + }, + "parent_node_id": "node_2221", + "improvement_over_parent": null + }, + "node_2223": { + "node_id": "node_2223", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 203.76 kg\n Factor of Safety: 1.09\n Max Deflection: 8.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.7599711404358, + "fos_buckling": 1.0894022499815532, + "fos_yielding": 1.5294313786674947, + "deflection": 0.008047641095458712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002247)" + }, + "parent_node_id": "node_2222", + "improvement_over_parent": null + }, + "node_2224": { + "node_id": "node_2224", + "content": "MODIFICATION: Increase 1 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 211.01 kg\n Factor of Safety: 1.12\n Max Deflection: 7.36e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.0050076397746, + "fos_buckling": 1.1172633582981182, + "fos_yielding": 1.5240030124708315, + "deflection": 0.00736007962661538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.658)" + }, + "parent_node_id": "node_2223", + "improvement_over_parent": null + }, + "node_2225": { + "node_id": "node_2225", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n\nPerformance:\n Mass: 268.83 kg\n Factor of Safety: 1.37\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 268.8250801588919, + "fos_buckling": 1.371992367539003, + "fos_yielding": 1.9390563809995327, + "deflection": 0.00580259443614528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_2224", + "improvement_over_parent": null + }, + "node_2226": { + "node_id": "node_2226", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.56 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.56473610925184, + "fos_buckling": 1.5146058104746811, + "fos_yielding": 2.1879048677271786, + "deflection": 0.005152147031703673, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_2225", + "improvement_over_parent": null + }, + "node_2227": { + "node_id": "node_2227", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2226", + "improvement_over_parent": null + }, + "node_2228": { + "node_id": "node_2228", + "content": "INITIAL DESIGN (Trace 321)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n\nPerformance:\n Mass: 158.31 kg\n Factor of Safety: 0.34\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.31303264564912, + "fos_buckling": 0.3353430488230377, + "fos_yielding": 1.0691119650853944, + "deflection": 0.01495818820818316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2229": { + "node_id": "node_2229", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n\nPerformance:\n Mass: 159.58 kg\n Factor of Safety: 0.34\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.5833088367977, + "fos_buckling": 0.33521682447117485, + "fos_yielding": 1.0690212498568323, + "deflection": 0.011604474832634038, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001016)" + }, + "parent_node_id": "node_2228", + "improvement_over_parent": null + }, + "node_2230": { + "node_id": "node_2230", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 174.44 kg\n Factor of Safety: 0.95\n Max Deflection: 8.87e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.44255536434122, + "fos_buckling": 0.9462195760726688, + "fos_yielding": 1.2613906065130427, + "deflection": 0.008867430753873631, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002795)" + }, + "parent_node_id": "node_2229", + "improvement_over_parent": null + }, + "node_2231": { + "node_id": "node_2231", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 209.26 kg\n Factor of Safety: 1.11\n Max Deflection: 7.41e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.26021621310574, + "fos_buckling": 1.1107307869606116, + "fos_yielding": 1.5119531820254704, + "deflection": 0.007411818249090396, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_2230", + "improvement_over_parent": null + }, + "node_2232": { + "node_id": "node_2232", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 263.42 kg\n Factor of Safety: 1.35\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.418784592092, + "fos_buckling": 1.350794610893122, + "fos_yielding": 1.9009099801686218, + "deflection": 0.005912419209610277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_2231", + "improvement_over_parent": null + }, + "node_2233": { + "node_id": "node_2233", + "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0051)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 265.78 kg\n Factor of Safety: 1.35\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.78499716264554, + "fos_buckling": 1.3510604549192908, + "fos_yielding": 2.1626837751451564, + "deflection": 0.005876970003376984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.285)" + }, + "parent_node_id": "node_2232", + "improvement_over_parent": null + }, + "node_2234": { + "node_id": "node_2234", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0059)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 305.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.13e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 305.41576401169254, + "fos_buckling": 1.5134441363973958, + "fos_yielding": 2.4824994159109335, + "deflection": 0.0051294054857289745, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_2233", + "improvement_over_parent": null + }, + "node_2235": { + "node_id": "node_2235", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2234", + "improvement_over_parent": null + }, + "node_2236": { + "node_id": "node_2236", + "content": "INITIAL DESIGN (Trace 322)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n\nPerformance:\n Mass: 141.69 kg\n Factor of Safety: 0.22\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.69365070481746, + "fos_buckling": 0.22078819661860505, + "fos_yielding": 0.9813756357702885, + "deflection": 0.014840248118344961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2237": { + "node_id": "node_2237", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 165.36 kg\n Factor of Safety: 0.25\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.35526169730772, + "fos_buckling": 0.25487127473587445, + "fos_yielding": 1.1441356763428838, + "deflection": 0.012734963691318357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_2236", + "improvement_over_parent": null + }, + "node_2238": { + "node_id": "node_2238", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 215.88 kg\n Factor of Safety: 0.33\n Max Deflection: 9.78e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.87662596068418, + "fos_buckling": 0.3250232956733385, + "fos_yielding": 1.4905745424261367, + "deflection": 0.009784241208170555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_2237", + "improvement_over_parent": null + }, + "node_2239": { + "node_id": "node_2239", + "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 218.97 kg\n Factor of Safety: 0.45\n Max Deflection: 9.39e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.9679840984768, + "fos_buckling": 0.44686835157774957, + "fos_yielding": 1.4901906856332872, + "deflection": 0.009393550107977431, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.466)" + }, + "parent_node_id": "node_2238", + "improvement_over_parent": null + }, + "node_2240": { + "node_id": "node_2240", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 272.02 kg\n Factor of Safety: 0.53\n Max Deflection: 7.59e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.0183869788593, + "fos_buckling": 0.5324312483782931, + "fos_yielding": 1.8474638978216291, + "deflection": 0.007588949278760147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_2239", + "improvement_over_parent": null + }, + "node_2241": { + "node_id": "node_2241", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 277.59 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.59258664383555, + "fos_buckling": 0.5319985610508865, + "fos_yielding": 1.847121508235175, + "deflection": 0.006704312894623425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2240", + "improvement_over_parent": null + }, + "node_2242": { + "node_id": "node_2242", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.38 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3832141862495, + "fos_buckling": 1.5139249350614228, + "fos_yielding": 2.186657099692671, + "deflection": 0.0051553069456381755, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_2241", + "improvement_over_parent": null + }, + "node_2243": { + "node_id": "node_2243", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2242", + "improvement_over_parent": null + }, + "node_2244": { + "node_id": "node_2244", + "content": "INITIAL DESIGN (Trace 323)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 194.07 kg\n Factor of Safety: 0.79\n Max Deflection: 8.40e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.07006052445251, + "fos_buckling": 0.789107040615165, + "fos_yielding": 1.500325809159777, + "deflection": 0.008397147134988379, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2245": { + "node_id": "node_2245", + "content": "MODIFICATION: Increase 13 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 197.87 kg\n Factor of Safety: 0.82\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.86683686245266, + "fos_buckling": 0.8168630375579573, + "fos_yielding": 1.4980887521020223, + "deflection": 0.008262550836765624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.332)" + }, + "parent_node_id": "node_2244", + "improvement_over_parent": null + }, + "node_2246": { + "node_id": "node_2246", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 255.39 kg\n Factor of Safety: 1.03\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.38660440328806, + "fos_buckling": 1.031883066206019, + "fos_yielding": 1.929726871261468, + "deflection": 0.006422644775040048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_2245", + "improvement_over_parent": null + }, + "node_2247": { + "node_id": "node_2247", + "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 259.70 kg\n Factor of Safety: 1.03\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.7047555291888, + "fos_buckling": 1.0290583051542825, + "fos_yielding": 1.9298390637003489, + "deflection": 0.00625027574310101, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.256)" + }, + "parent_node_id": "node_2246", + "improvement_over_parent": null + }, + "node_2248": { + "node_id": "node_2248", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 293.58 kg\n Factor of Safety: 1.15\n Max Deflection: 5.54e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.5828453516229, + "fos_buckling": 1.1488655329185211, + "fos_yielding": 2.1793918167163535, + "deflection": 0.0055402836385683146, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_2247", + "improvement_over_parent": null + }, + "node_2249": { + "node_id": "node_2249", + "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.24 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.242959898278, + "fos_buckling": 1.5134127725744866, + "fos_yielding": 2.1855916562945015, + "deflection": 0.00515774085124933, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.645)" + }, + "parent_node_id": "node_2248", + "improvement_over_parent": null + }, + "node_2250": { + "node_id": "node_2250", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2249", + "improvement_over_parent": null + }, + "node_2251": { + "node_id": "node_2251", + "content": "INITIAL DESIGN (Trace 324)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0012)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0009)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0017)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0019)]\n\nPerformance:\n Mass: 105.72 kg\n Factor of Safety: 0.22\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.72095707721638, + "fos_buckling": 0.21906251222479897, + "fos_yielding": 0.6681752621194924, + "deflection": 0.023688947223801646, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2252": { + "node_id": "node_2252", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 133.80 kg\n Factor of Safety: 0.27\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.80062065492123, + "fos_buckling": 0.2719387616375796, + "fos_yielding": 0.8446226446416699, + "deflection": 0.018755052248651004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_2251", + "improvement_over_parent": null + }, + "node_2253": { + "node_id": "node_2253", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 154.18 kg\n Factor of Safety: 0.31\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.17764292103965, + "fos_buckling": 0.3089314430151453, + "fos_yielding": 0.9724014858753991, + "deflection": 0.016299900135711334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_2252", + "improvement_over_parent": null + }, + "node_2254": { + "node_id": "node_2254", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 196.66 kg\n Factor of Safety: 0.38\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.66199346377311, + "fos_buckling": 0.3823535628857863, + "fos_yielding": 1.238091257871707, + "deflection": 0.012817294013098019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2253", + "improvement_over_parent": null + }, + "node_2255": { + "node_id": "node_2255", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 239.96 kg\n Factor of Safety: 0.45\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.95768534216327, + "fos_buckling": 0.45206640903357465, + "fos_yielding": 1.5078607976464211, + "deflection": 0.010536916248635855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_2254", + "improvement_over_parent": null + }, + "node_2256": { + "node_id": "node_2256", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 272.68 kg\n Factor of Safety: 1.39\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.6819201306599, + "fos_buckling": 1.3889994966244605, + "fos_yielding": 1.9665617511589513, + "deflection": 0.005722063310282942, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005340)" + }, + "parent_node_id": "node_2255", + "improvement_over_parent": null + }, + "node_2257": { + "node_id": "node_2257", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 302.96 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 302.95976025800996, + "fos_buckling": 1.5130080649739488, + "fos_yielding": 2.1834194295693994, + "deflection": 0.005162074199468623, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_2256", + "improvement_over_parent": null + }, + "node_2258": { + "node_id": "node_2258", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2257", + "improvement_over_parent": null + }, + "node_2259": { + "node_id": "node_2259", + "content": "INITIAL DESIGN (Trace 325)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 231.61 kg\n Factor of Safety: 0.49\n Max Deflection: 8.99e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.6075746696364, + "fos_buckling": 0.494197693549145, + "fos_yielding": 1.6271368047028014, + "deflection": 0.008985362040210585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2260": { + "node_id": "node_2260", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 246.55 kg\n Factor of Safety: 0.65\n Max Deflection: 8.60e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.54982335213072, + "fos_buckling": 0.6541053969336182, + "fos_yielding": 1.7201437050807566, + "deflection": 0.008603214862315653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003807)" + }, + "parent_node_id": "node_2259", + "improvement_over_parent": null + }, + "node_2261": { + "node_id": "node_2261", + "content": "MODIFICATION: Increase 10 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 251.92 kg\n Factor of Safety: 0.63\n Max Deflection: 8.42e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.91699851631301, + "fos_buckling": 0.6305834106082445, + "fos_yielding": 1.70888298383211, + "deflection": 0.008417380053773394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.408)" + }, + "parent_node_id": "node_2260", + "improvement_over_parent": null + }, + "node_2262": { + "node_id": "node_2262", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n\nPerformance:\n Mass: 256.78 kg\n Factor of Safety: 1.04\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.78222354403783, + "fos_buckling": 1.0370959994330597, + "fos_yielding": 1.8401916249400048, + "deflection": 0.006065934836110704, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002867)" + }, + "parent_node_id": "node_2261", + "improvement_over_parent": null + }, + "node_2263": { + "node_id": "node_2263", + "content": "MODIFICATION: Increase 12 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n\nPerformance:\n Mass: 266.04 kg\n Factor of Safety: 1.08\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.0428135645634, + "fos_buckling": 1.0805867192879652, + "fos_yielding": 1.8490619175840188, + "deflection": 0.006011452908067421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.464)" + }, + "parent_node_id": "node_2262", + "improvement_over_parent": null + }, + "node_2264": { + "node_id": "node_2264", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n\nPerformance:\n Mass: 268.49 kg\n Factor of Safety: 1.30\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 268.4898993309967, + "fos_buckling": 1.2988875487251177, + "fos_yielding": 1.9298401271181096, + "deflection": 0.005863763985182947, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002033)" + }, + "parent_node_id": "node_2263", + "improvement_over_parent": null + }, + "node_2265": { + "node_id": "node_2265", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0046)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0074)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 307.42 kg\n Factor of Safety: 1.46\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 307.42352647745724, + "fos_buckling": 1.457515062980994, + "fos_yielding": 2.208661862549975, + "deflection": 0.0051335211194348035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_2264", + "improvement_over_parent": null + }, + "node_2266": { + "node_id": "node_2266", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2265", + "improvement_over_parent": null + }, + "node_2267": { + "node_id": "node_2267", + "content": "INITIAL DESIGN (Trace 326)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 160.50 kg\n Factor of Safety: 0.57\n Max Deflection: 9.74e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.49863565671185, + "fos_buckling": 0.5675166215765565, + "fos_yielding": 1.1547828566540292, + "deflection": 0.009741696316037628, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2268": { + "node_id": "node_2268", + "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 162.90 kg\n Factor of Safety: 0.57\n Max Deflection: 9.67e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.897545257725, + "fos_buckling": 0.5676195817643395, + "fos_yielding": 1.1547592534307407, + "deflection": 0.009671664048751452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.311)" + }, + "parent_node_id": "node_2267", + "improvement_over_parent": null + }, + "node_2269": { + "node_id": "node_2269", + "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 164.05 kg\n Factor of Safety: 0.57\n Max Deflection: 9.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.05340247555915, + "fos_buckling": 0.5676195817643399, + "fos_yielding": 1.2612991263804725, + "deflection": 0.00957567220857719, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.277)" + }, + "parent_node_id": "node_2268", + "improvement_over_parent": null + }, + "node_2270": { + "node_id": "node_2270", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 192.04 kg\n Factor of Safety: 0.65\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.0378440812115, + "fos_buckling": 0.6532065258483344, + "fos_yielding": 1.475458210983831, + "deflection": 0.008196031340848016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_2269", + "improvement_over_parent": null + }, + "node_2271": { + "node_id": "node_2271", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 230.24 kg\n Factor of Safety: 0.76\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.2365802685283, + "fos_buckling": 0.7647573014204898, + "fos_yielding": 1.7673160523975289, + "deflection": 0.006854169141767519, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_2270", + "improvement_over_parent": null + }, + "node_2272": { + "node_id": "node_2272", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 246.83 kg\n Factor of Safety: 1.22\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.83413260516977, + "fos_buckling": 1.2224594024529725, + "fos_yielding": 1.78773845011751, + "deflection": 0.0063459913413998325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003596)" + }, + "parent_node_id": "node_2271", + "improvement_over_parent": null + }, + "node_2273": { + "node_id": "node_2273", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 301.93 kg\n Factor of Safety: 1.47\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.9320679210446, + "fos_buckling": 1.4652123591263697, + "fos_yielding": 2.1839330470105627, + "deflection": 0.005208780510622556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_2272", + "improvement_over_parent": null + }, + "node_2274": { + "node_id": "node_2274", + "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.16 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.1616687614035, + "fos_buckling": 1.5129808899558745, + "fos_yielding": 2.184931199576965, + "deflection": 0.005159151388701187, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.311)" + }, + "parent_node_id": "node_2273", + "improvement_over_parent": null + }, + "node_2275": { + "node_id": "node_2275", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2274", + "improvement_over_parent": null + }, + "node_2276": { + "node_id": "node_2276", + "content": "INITIAL DESIGN (Trace 327)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 150.51 kg\n Factor of Safety: 0.33\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.51422268239207, + "fos_buckling": 0.3272022389036589, + "fos_yielding": 1.0359359788290003, + "deflection": 0.015778563446739315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2277": { + "node_id": "node_2277", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 166.83 kg\n Factor of Safety: 0.36\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.8274500804284, + "fos_buckling": 0.3581603841685047, + "fos_yielding": 1.147366849614537, + "deflection": 0.01425163943518217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_2276", + "improvement_over_parent": null + }, + "node_2278": { + "node_id": "node_2278", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 191.27 kg\n Factor of Safety: 0.40\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.26536070368567, + "fos_buckling": 0.40291165555421926, + "fos_yielding": 1.313984858795024, + "deflection": 0.012451614643250898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_2277", + "improvement_over_parent": null + }, + "node_2279": { + "node_id": "node_2279", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 244.80 kg\n Factor of Safety: 0.49\n Max Deflection: 9.76e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.79729492918062, + "fos_buckling": 0.49417580147771023, + "fos_yielding": 1.677664542866208, + "deflection": 0.009764552144934796, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_2278", + "improvement_over_parent": null + }, + "node_2280": { + "node_id": "node_2280", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 281.18 kg\n Factor of Safety: 0.91\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.17969238465975, + "fos_buckling": 0.9055379449538844, + "fos_yielding": 2.1691581197252745, + "deflection": 0.0056202244837397315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_2279", + "improvement_over_parent": null + }, + "node_2281": { + "node_id": "node_2281", + "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 283.08 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.07575748066483, + "fos_buckling": 0.9056676381361476, + "fos_yielding": 2.1608643950713424, + "deflection": 0.005599673471762589, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.193)" + }, + "parent_node_id": "node_2280", + "improvement_over_parent": null + }, + "node_2282": { + "node_id": "node_2282", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.38909236269166, + "fos_buckling": 1.5140628686091724, + "fos_yielding": 2.1867180047398866, + "deflection": 0.005155130968184268, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_2281", + "improvement_over_parent": null + }, + "node_2283": { + "node_id": "node_2283", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2282", + "improvement_over_parent": null + }, + "node_2284": { + "node_id": "node_2284", + "content": "INITIAL DESIGN (Trace 328)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 129.76 kg\n Factor of Safety: 0.75\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.7597316252568, + "fos_buckling": 0.7478100291251106, + "fos_yielding": 0.9801476843873247, + "deflection": 0.01235487127178207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2285": { + "node_id": "node_2285", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 162.36 kg\n Factor of Safety: 0.92\n Max Deflection: 9.89e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.3601168687447, + "fos_buckling": 0.9163985044657619, + "fos_yielding": 1.2250963323399808, + "deflection": 0.009894193228306794, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_2284", + "improvement_over_parent": null + }, + "node_2286": { + "node_id": "node_2286", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 212.72 kg\n Factor of Safety: 1.16\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.72167870217896, + "fos_buckling": 1.16184246654887, + "fos_yielding": 1.6024339820194398, + "deflection": 0.007575180888692441, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_2285", + "improvement_over_parent": null + }, + "node_2287": { + "node_id": "node_2287", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 261.85 kg\n Factor of Safety: 1.38\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.8500358254277, + "fos_buckling": 1.3839036499746924, + "fos_yielding": 1.969255953912281, + "deflection": 0.006172246021786939, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_2286", + "improvement_over_parent": null + }, + "node_2288": { + "node_id": "node_2288", + "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 269.61 kg\n Factor of Safety: 1.39\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.6076717963186, + "fos_buckling": 1.3892787671707318, + "fos_yielding": 1.9639670508976832, + "deflection": 0.00575224299807566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.504)" + }, + "parent_node_id": "node_2287", + "improvement_over_parent": null + }, + "node_2289": { + "node_id": "node_2289", + "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 272.43 kg\n Factor of Safety: 1.39\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.4326910579574, + "fos_buckling": 1.3872805904474377, + "fos_yielding": 1.965117185285995, + "deflection": 0.0057276112254746395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.199)" + }, + "parent_node_id": "node_2288", + "improvement_over_parent": null + }, + "node_2290": { + "node_id": "node_2290", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.42183262111064, + "fos_buckling": 1.5141561714015512, + "fos_yielding": 2.187102250594984, + "deflection": 0.005154768741107839, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_2289", + "improvement_over_parent": null + }, + "node_2291": { + "node_id": "node_2291", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2290", + "improvement_over_parent": null + }, + "node_2292": { + "node_id": "node_2292", + "content": "INITIAL DESIGN (Trace 329)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 202.76 kg\n Factor of Safety: 0.85\n Max Deflection: 8.33e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.7563655214148, + "fos_buckling": 0.8480393091584498, + "fos_yielding": 1.6452184813346313, + "deflection": 0.008333858930799194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2293": { + "node_id": "node_2293", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 225.76 kg\n Factor of Safety: 0.93\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.75511939959378, + "fos_buckling": 0.9310261739624498, + "fos_yielding": 1.830594145257433, + "deflection": 0.007495145329004403, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_2292", + "improvement_over_parent": null + }, + "node_2294": { + "node_id": "node_2294", + "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 230.24 kg\n Factor of Safety: 0.96\n Max Deflection: 7.31e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.23738516963587, + "fos_buckling": 0.9616159121449722, + "fos_yielding": 1.8305359440776592, + "deflection": 0.007309819827381652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.190)" + }, + "parent_node_id": "node_2293", + "improvement_over_parent": null + }, + "node_2295": { + "node_id": "node_2295", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 249.32 kg\n Factor of Safety: 1.29\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.32343837343757, + "fos_buckling": 1.2882915382624307, + "fos_yielding": 1.799354258015348, + "deflection": 0.006247418978725105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003869)" + }, + "parent_node_id": "node_2294", + "improvement_over_parent": null + }, + "node_2296": { + "node_id": "node_2296", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.36173492771485, + "fos_buckling": 1.5135590265015368, + "fos_yielding": 2.1866486361164394, + "deflection": 0.005155715844988488, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_2295", + "improvement_over_parent": null + }, + "node_2297": { + "node_id": "node_2297", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2296", + "improvement_over_parent": null + }, + "node_2298": { + "node_id": "node_2298", + "content": "INITIAL DESIGN (Trace 330)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 195.00 kg\n Factor of Safety: 0.03\n Max Deflection: 5.28e+15 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.00290331525184, + "fos_buckling": 0.03151025787375176, + "fos_yielding": 0.00808849853347812, + "deflection": 5282628972772177.0, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2299": { + "node_id": "node_2299", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 200.05 kg\n Factor of Safety: 0.68\n Max Deflection: 1.06e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.04757043435671, + "fos_buckling": 0.6782922059463601, + "fos_yielding": 2.0706556245703984, + "deflection": 10562229091365.457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002982)" + }, + "parent_node_id": "node_2298", + "improvement_over_parent": null + }, + "node_2300": { + "node_id": "node_2300", + "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0054)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.36\n Max Deflection: 1.83e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.1601545503631, + "fos_buckling": 1.3565844118927202, + "fos_yielding": 2.168794243208798, + "deflection": 18306961230159.586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.195)" + }, + "parent_node_id": "node_2299", + "improvement_over_parent": null + }, + "node_2301": { + "node_id": "node_2301", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0054)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 225.18 kg\n Factor of Safety: 0.83\n Max Deflection: 7.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.179356036263, + "fos_buckling": 0.8343833795912132, + "fos_yielding": 1.9834668553337906, + "deflection": 0.007717796853729361, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004295)" + }, + "parent_node_id": "node_2300", + "improvement_over_parent": null + }, + "node_2302": { + "node_id": "node_2302", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0054)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n\nPerformance:\n Mass: 241.50 kg\n Factor of Safety: 0.84\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.50039977113445, + "fos_buckling": 0.8354140780481779, + "fos_yielding": 1.9674609950057373, + "deflection": 0.007188367484830031, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003785)" + }, + "parent_node_id": "node_2301", + "improvement_over_parent": null + }, + "node_2303": { + "node_id": "node_2303", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0054)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n\nPerformance:\n Mass: 259.89 kg\n Factor of Safety: 1.01\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.8855065616494, + "fos_buckling": 1.0061608502963448, + "fos_yielding": 1.9943972826490484, + "deflection": 0.006576050924050817, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004017)" + }, + "parent_node_id": "node_2302", + "improvement_over_parent": null + }, + "node_2304": { + "node_id": "node_2304", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0060)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 287.05 kg\n Factor of Safety: 1.09\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.0540270655145, + "fos_buckling": 1.0906271737254125, + "fos_yielding": 2.2015734158551363, + "deflection": 0.005966373177180066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_2303", + "improvement_over_parent": null + }, + "node_2305": { + "node_id": "node_2305", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0060)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 304.17 kg\n Factor of Safety: 1.49\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 304.17198229708896, + "fos_buckling": 1.4852432888750415, + "fos_yielding": 2.1988860481058095, + "deflection": 0.005159174661777039, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_2304", + "improvement_over_parent": null + }, + "node_2306": { + "node_id": "node_2306", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2305", + "improvement_over_parent": null + }, + "node_2307": { + "node_id": "node_2307", + "content": "INITIAL DESIGN (Trace 331)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 227.43 kg\n Factor of Safety: 0.74\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.42524153809146, + "fos_buckling": 0.738025618883242, + "fos_yielding": 1.7483111910659705, + "deflection": 0.008107287974923123, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2308": { + "node_id": "node_2308", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 281.27 kg\n Factor of Safety: 0.88\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.2701417148395, + "fos_buckling": 0.8824392962181326, + "fos_yielding": 2.158076395812614, + "deflection": 0.006579151490204986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_2307", + "improvement_over_parent": null + }, + "node_2309": { + "node_id": "node_2309", + "content": "MODIFICATION: Increase 10 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 288.53 kg\n Factor of Safety: 0.88\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.526005344346, + "fos_buckling": 0.8784059446349721, + "fos_yielding": 2.1576789127217566, + "deflection": 0.006578141610610865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.647)" + }, + "parent_node_id": "node_2308", + "improvement_over_parent": null + }, + "node_2310": { + "node_id": "node_2310", + "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 293.57 kg\n Factor of Safety: 0.88\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.5668665161483, + "fos_buckling": 0.8768348978728255, + "fos_yielding": 2.1574905646897813, + "deflection": 0.00657808998467486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.287)" + }, + "parent_node_id": "node_2309", + "improvement_over_parent": null + }, + "node_2311": { + "node_id": "node_2311", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 299.14 kg\n Factor of Safety: 1.41\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.14106618112453, + "fos_buckling": 1.407253830018029, + "fos_yielding": 2.1838519670742755, + "deflection": 0.00528512102407235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2310", + "improvement_over_parent": null + }, + "node_2312": { + "node_id": "node_2312", + "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.25871680262446, + "fos_buckling": 1.5134591690937917, + "fos_yielding": 2.185895837874803, + "deflection": 0.005157266718522483, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.206)" + }, + "parent_node_id": "node_2311", + "improvement_over_parent": null + }, + "node_2313": { + "node_id": "node_2313", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2312", + "improvement_over_parent": null + }, + "node_2314": { + "node_id": "node_2314", + "content": "INITIAL DESIGN (Trace 332)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 164.03 kg\n Factor of Safety: 0.38\n Max Deflection: 9.88e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.03391149200849, + "fos_buckling": 0.3767443107340497, + "fos_yielding": 0.9411818451436906, + "deflection": 987943362344.2007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2315": { + "node_id": "node_2315", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n\nPerformance:\n Mass: 175.28 kg\n Factor of Safety: 0.38\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.27897029996615, + "fos_buckling": 0.37629210183073025, + "fos_yielding": 0.940524898478716, + "deflection": 0.011716644840874077, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002808)" + }, + "parent_node_id": "node_2314", + "improvement_over_parent": null + }, + "node_2316": { + "node_id": "node_2316", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 192.22 kg\n Factor of Safety: 0.51\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.22194380844923, + "fos_buckling": 0.5106198013321809, + "fos_yielding": 0.9999128111943955, + "deflection": 0.011256681489450459, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003210)" + }, + "parent_node_id": "node_2315", + "improvement_over_parent": null + }, + "node_2317": { + "node_id": "node_2317", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n\nPerformance:\n Mass: 194.06 kg\n Factor of Safety: 0.62\n Max Deflection: 9.94e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.06409283738458, + "fos_buckling": 0.6216137163298461, + "fos_yielding": 1.107150748771258, + "deflection": 0.009941693225148618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001500)" + }, + "parent_node_id": "node_2316", + "improvement_over_parent": null + }, + "node_2318": { + "node_id": "node_2318", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n\nPerformance:\n Mass: 248.08 kg\n Factor of Safety: 0.77\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.07770080618386, + "fos_buckling": 0.770073226812408, + "fos_yielding": 1.4192015452865832, + "deflection": 0.007800756420599117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_2317", + "improvement_over_parent": null + }, + "node_2319": { + "node_id": "node_2319", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 295.32 kg\n Factor of Safety: 0.89\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.32099257880486, + "fos_buckling": 0.8911499870051691, + "fos_yielding": 1.6939246533305836, + "deflection": 0.006570223307574224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_2318", + "improvement_over_parent": null + }, + "node_2320": { + "node_id": "node_2320", + "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0064)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 302.01 kg\n Factor of Safety: 0.89\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.0067135212786, + "fos_buckling": 0.8901908862815388, + "fos_yielding": 1.6937939025829636, + "deflection": 0.006570781450110934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.312)" + }, + "parent_node_id": "node_2319", + "improvement_over_parent": null + }, + "node_2321": { + "node_id": "node_2321", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0064)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 307.58 kg\n Factor of Safety: 1.31\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 307.5809131862548, + "fos_buckling": 1.308970864568354, + "fos_yielding": 1.7155542852671823, + "deflection": 0.0051440007718383555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2320", + "improvement_over_parent": null + }, + "node_2322": { + "node_id": "node_2322", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2321", + "improvement_over_parent": null + }, + "node_2323": { + "node_id": "node_2323", + "content": "INITIAL DESIGN (Trace 333)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 166.02 kg\n Factor of Safety: 0.59\n Max Deflection: 8.01e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.02401954127666, + "fos_buckling": 0.5946741882834113, + "fos_yielding": 1.188856761551535, + "deflection": 8007275176143.967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2324": { + "node_id": "node_2324", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 209.73 kg\n Factor of Safety: 0.34\n Max Deflection: 9.13e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.7304760292907, + "fos_buckling": 0.3443748038608341, + "fos_yielding": 2.070655624570399, + "deflection": 9129149646730.027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_2323", + "improvement_over_parent": null + }, + "node_2325": { + "node_id": "node_2325", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 230.04 kg\n Factor of Safety: 0.43\n Max Deflection: 8.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.04381091131754, + "fos_buckling": 0.4254410648330172, + "fos_yielding": 1.8501444201380182, + "deflection": 0.00830107880196742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_2324", + "improvement_over_parent": null + }, + "node_2326": { + "node_id": "node_2326", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 255.83 kg\n Factor of Safety: 1.09\n Max Deflection: 6.75e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.83443845373148, + "fos_buckling": 1.0940552320247363, + "fos_yielding": 2.225314843998495, + "deflection": 0.006751879480029698, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_2325", + "improvement_over_parent": null + }, + "node_2327": { + "node_id": "node_2327", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 279.06 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.05795883487946, + "fos_buckling": 1.0912279416291222, + "fos_yielding": 2.189645073447861, + "deflection": 0.006002200003488514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_2326", + "improvement_over_parent": null + }, + "node_2328": { + "node_id": "node_2328", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.39908684025636, + "fos_buckling": 1.5140021917386282, + "fos_yielding": 2.186818157483979, + "deflection": 0.005155014025569397, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_2327", + "improvement_over_parent": null + }, + "node_2329": { + "node_id": "node_2329", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2328", + "improvement_over_parent": null + }, + "node_2330": { + "node_id": "node_2330", + "content": "INITIAL DESIGN (Trace 334)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 216.27 kg\n Factor of Safety: 0.40\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.26695819658138, + "fos_buckling": 0.3978286385082395, + "fos_yielding": 0.9476809045291271, + "deflection": 0.0157237592065362, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2331": { + "node_id": "node_2331", + "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 218.36 kg\n Factor of Safety: 0.40\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.35957450079158, + "fos_buckling": 0.39782863850823946, + "fos_yielding": 0.9476809045291291, + "deflection": 0.015661043830892434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.366)" + }, + "parent_node_id": "node_2330", + "improvement_over_parent": null + }, + "node_2332": { + "node_id": "node_2332", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 234.04 kg\n Factor of Safety: 0.40\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.04006300546428, + "fos_buckling": 0.3975962269805542, + "fos_yielding": 1.2415889262641902, + "deflection": 0.013760314764535481, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003624)" + }, + "parent_node_id": "node_2331", + "improvement_over_parent": null + }, + "node_2333": { + "node_id": "node_2333", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 269.06 kg\n Factor of Safety: 0.45\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.0612594540692, + "fos_buckling": 0.44542737823706335, + "fos_yielding": 1.422452658535127, + "deflection": 0.011991760983016317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_2332", + "improvement_over_parent": null + }, + "node_2334": { + "node_id": "node_2334", + "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 272.37 kg\n Factor of Safety: 0.45\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.36524324141516, + "fos_buckling": 0.44526334526149103, + "fos_yielding": 1.4214815267640262, + "deflection": 0.0113614370402299, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.186)" + }, + "parent_node_id": "node_2333", + "improvement_over_parent": null + }, + "node_2335": { + "node_id": "node_2335", + "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.13 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.12650224086116, + "fos_buckling": 0.44502717528503427, + "fos_yielding": 1.4200843916936927, + "deflection": 0.010724204727505553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.233)" + }, + "parent_node_id": "node_2334", + "improvement_over_parent": null + }, + "node_2336": { + "node_id": "node_2336", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.21 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2142945236373, + "fos_buckling": 1.5132750884375916, + "fos_yielding": 2.185572781200054, + "deflection": 0.0051582763058472, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_2335", + "improvement_over_parent": null + }, + "node_2337": { + "node_id": "node_2337", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2336", + "improvement_over_parent": null + }, + "node_2338": { + "node_id": "node_2338", + "content": "INITIAL DESIGN (Trace 335)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2339": { + "node_id": "node_2339", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 249.28 kg\n Factor of Safety: 0.97\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.28348411370135, + "fos_buckling": 0.9674729726693697, + "fos_yielding": 2.0939703237282146, + "deflection": 0.006426563099549483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003644)" + }, + "parent_node_id": "node_2338", + "improvement_over_parent": null + }, + "node_2340": { + "node_id": "node_2340", + "content": "MODIFICATION: Increase 11 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 254.11 kg\n Factor of Safety: 0.97\n Max Deflection: 6.36e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.10900280216072, + "fos_buckling": 0.966448907902713, + "fos_yielding": 2.093970323728214, + "deflection": 0.006364589974297984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.404)" + }, + "parent_node_id": "node_2339", + "improvement_over_parent": null + }, + "node_2341": { + "node_id": "node_2341", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 265.20 kg\n Factor of Safety: 1.36\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.2012732994633, + "fos_buckling": 1.356759321341083, + "fos_yielding": 1.9132171278305452, + "deflection": 0.00588029005935462, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003283)" + }, + "parent_node_id": "node_2340", + "improvement_over_parent": null + }, + "node_2342": { + "node_id": "node_2342", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.58 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.57969258987333, + "fos_buckling": 1.5147648519931898, + "fos_yielding": 2.188171551732285, + "deflection": 0.005151924691255812, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_2341", + "improvement_over_parent": null + }, + "node_2343": { + "node_id": "node_2343", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2342", + "improvement_over_parent": null + }, + "node_2344": { + "node_id": "node_2344", + "content": "INITIAL DESIGN (Trace 336)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 228.47 kg\n Factor of Safety: 0.94\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.4701219430481, + "fos_buckling": 0.9357126863349318, + "fos_yielding": 2.009776582721588, + "deflection": 0.007635309965666193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2345": { + "node_id": "node_2345", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 239.12 kg\n Factor of Safety: 0.94\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.11506563072484, + "fos_buckling": 0.9448828790838045, + "fos_yielding": 1.8384359484877117, + "deflection": 0.007142505222903653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003140)" + }, + "parent_node_id": "node_2344", + "improvement_over_parent": null + }, + "node_2346": { + "node_id": "node_2346", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 239.78 kg\n Factor of Safety: 0.94\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.77786823610964, + "fos_buckling": 0.9448362821295763, + "fos_yielding": 1.8409360094648215, + "deflection": 0.007139823342831505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.312)" + }, + "parent_node_id": "node_2345", + "improvement_over_parent": null + }, + "node_2347": { + "node_id": "node_2347", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 254.14 kg\n Factor of Safety: 1.26\n Max Deflection: 6.18e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.13868538027342, + "fos_buckling": 1.2600997693020073, + "fos_yielding": 1.8386936532165332, + "deflection": 0.006178098352685961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003647)" + }, + "parent_node_id": "node_2346", + "improvement_over_parent": null + }, + "node_2348": { + "node_id": "node_2348", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 302.96 kg\n Factor of Safety: 1.48\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.960590654538, + "fos_buckling": 1.4753071176157349, + "fos_yielding": 2.1894424133826824, + "deflection": 0.005200711152499795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_2347", + "improvement_over_parent": null + }, + "node_2349": { + "node_id": "node_2349", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2348", + "improvement_over_parent": null + }, + "node_2350": { + "node_id": "node_2350", + "content": "INITIAL DESIGN (Trace 337)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 256.37 kg\n Factor of Safety: 0.99\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.37256041233445, + "fos_buckling": 0.994926778899169, + "fos_yielding": 2.16663965483064, + "deflection": 0.006240815925632514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2351": { + "node_id": "node_2351", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n\nPerformance:\n Mass: 267.85 kg\n Factor of Safety: 1.32\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.850081007578, + "fos_buckling": 1.317886422132893, + "fos_yielding": 1.9760783690183388, + "deflection": 0.00575464849533372, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003407)" + }, + "parent_node_id": "node_2350", + "improvement_over_parent": null + }, + "node_2352": { + "node_id": "node_2352", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 296.17 kg\n Factor of Safety: 1.43\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.17146517662945, + "fos_buckling": 1.433374954381333, + "fos_yielding": 2.183284660172251, + "deflection": 0.00521563640308547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_2351", + "improvement_over_parent": null + }, + "node_2353": { + "node_id": "node_2353", + "content": "MODIFICATION: Increase 12 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0077)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 308.17 kg\n Factor of Safety: 1.52\n Max Deflection: 5.12e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 308.1719769065729, + "fos_buckling": 1.5222876102737044, + "fos_yielding": 2.1792821060613408, + "deflection": 0.005119358835152489, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.605)" + }, + "parent_node_id": "node_2352", + "improvement_over_parent": null + }, + "node_2354": { + "node_id": "node_2354", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2353", + "improvement_over_parent": null + }, + "node_2355": { + "node_id": "node_2355", + "content": "INITIAL DESIGN (Trace 338)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 204.85 kg\n Factor of Safety: 0.86\n Max Deflection: 7.73e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.85305491747374, + "fos_buckling": 0.8566454150977258, + "fos_yielding": 1.3713281217236668, + "deflection": 0.007731089881532161, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2356": { + "node_id": "node_2356", + "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 206.78 kg\n Factor of Safety: 0.86\n Max Deflection: 7.73e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.77559920551744, + "fos_buckling": 0.8566454150977258, + "fos_yielding": 1.806107292098794, + "deflection": 0.007731089881532161, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.339)" + }, + "parent_node_id": "node_2355", + "improvement_over_parent": null + }, + "node_2357": { + "node_id": "node_2357", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 228.69 kg\n Factor of Safety: 0.93\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.68568990072055, + "fos_buckling": 0.9313832824550053, + "fos_yielding": 1.9967792984916732, + "deflection": 0.007002412578804444, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_2356", + "improvement_over_parent": null + }, + "node_2358": { + "node_id": "node_2358", + "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 233.88 kg\n Factor of Safety: 0.93\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.87625495947125, + "fos_buckling": 0.9310286704219332, + "fos_yielding": 1.9967792984916732, + "deflection": 0.006885681902476682, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.616)" + }, + "parent_node_id": "node_2357", + "improvement_over_parent": null + }, + "node_2359": { + "node_id": "node_2359", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.80 kg\n Factor of Safety: 1.08\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.7958783832609, + "fos_buckling": 1.0780604067053232, + "fos_yielding": 2.3961715873314327, + "deflection": 0.00575599458536575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_2358", + "improvement_over_parent": null + }, + "node_2360": { + "node_id": "node_2360", + "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 284.44 kg\n Factor of Safety: 1.08\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 284.4365421023868, + "fos_buckling": 1.0772028239983886, + "fos_yielding": 2.3961715873314327, + "deflection": 0.005631413138952881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.178)" + }, + "parent_node_id": "node_2359", + "improvement_over_parent": null + }, + "node_2361": { + "node_id": "node_2361", + "content": "MODIFICATION: Increase 8 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 285.48 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.4833783657967, + "fos_buckling": 1.076874399987337, + "fos_yielding": 2.3961715873314327, + "deflection": 0.005575753089164605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.653)" + }, + "parent_node_id": "node_2360", + "improvement_over_parent": null + }, + "node_2362": { + "node_id": "node_2362", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.52 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5151450510264, + "fos_buckling": 1.5144122002230127, + "fos_yielding": 2.187211609701147, + "deflection": 0.005152817362992729, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_2361", + "improvement_over_parent": null + }, + "node_2363": { + "node_id": "node_2363", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2362", + "improvement_over_parent": null + }, + "node_2364": { + "node_id": "node_2364", + "content": "INITIAL DESIGN (Trace 339)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 221.01 kg\n Factor of Safety: 0.46\n Max Deflection: 6.61e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.0051785542687, + "fos_buckling": 0.4617237349586672, + "fos_yielding": 1.84058277739591, + "deflection": 6608916159281.849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2365": { + "node_id": "node_2365", + "content": "MODIFICATION: Increase 9 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 229.96 kg\n Factor of Safety: 0.08\n Max Deflection: 5.32e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.95883376092033, + "fos_buckling": 0.08252993031291521, + "fos_yielding": 0.3966939823510843, + "deflection": 53177362889041.33, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.637)" + }, + "parent_node_id": "node_2364", + "improvement_over_parent": null + }, + "node_2366": { + "node_id": "node_2366", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 247.08 kg\n Factor of Safety: 0.43\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.0767889924948, + "fos_buckling": 0.42504240656744613, + "fos_yielding": 1.8498428961085662, + "deflection": 0.01301909834340959, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_2365", + "improvement_over_parent": null + }, + "node_2367": { + "node_id": "node_2367", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 270.30 kg\n Factor of Safety: 0.53\n Max Deflection: 7.60e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.3003093736428, + "fos_buckling": 0.5323752915595674, + "fos_yielding": 1.8477000245235753, + "deflection": 0.007595767555924028, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_2366", + "improvement_over_parent": null + }, + "node_2368": { + "node_id": "node_2368", + "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 270.92 kg\n Factor of Safety: 0.53\n Max Deflection: 7.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.92171606363985, + "fos_buckling": 0.5322787700850923, + "fos_yielding": 1.847623665314107, + "deflection": 0.007595933456503138, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.250)" + }, + "parent_node_id": "node_2367", + "improvement_over_parent": null + }, + "node_2369": { + "node_id": "node_2369", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 276.50 kg\n Factor of Safety: 0.53\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.49591572861607, + "fos_buckling": 0.5318462873356806, + "fos_yielding": 1.8472812607189733, + "deflection": 0.006683768259115533, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2368", + "improvement_over_parent": null + }, + "node_2370": { + "node_id": "node_2370", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.29 kg\n Factor of Safety: 1.39\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.28654327103004, + "fos_buckling": 1.391535539097768, + "fos_yielding": 2.0427204627123956, + "deflection": 0.005199132650299709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_2369", + "improvement_over_parent": null + }, + "node_2371": { + "node_id": "node_2371", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2370", + "improvement_over_parent": null + }, + "node_2372": { + "node_id": "node_2372", + "content": "INITIAL DESIGN (Trace 340)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 229.15 kg\n Factor of Safety: 0.16\n Max Deflection: 4.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.149343628082, + "fos_buckling": 0.1648667055683094, + "fos_yielding": 0.9713382340791898, + "deflection": 0.046654613259929686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2373": { + "node_id": "node_2373", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n\nPerformance:\n Mass: 232.86 kg\n Factor of Safety: 0.45\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.8570364563756, + "fos_buckling": 0.4469642773370888, + "fos_yielding": 1.1750000750908796, + "deflection": 0.011243736886337, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002143)" + }, + "parent_node_id": "node_2372", + "improvement_over_parent": null + }, + "node_2374": { + "node_id": "node_2374", + "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0055)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n\nPerformance:\n Mass: 235.87 kg\n Factor of Safety: 0.45\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.8658578141859, + "fos_buckling": 0.4469642773370888, + "fos_yielding": 1.1832918923996845, + "deflection": 0.011185323637345423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.359)" + }, + "parent_node_id": "node_2373", + "improvement_over_parent": null + }, + "node_2375": { + "node_id": "node_2375", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0055)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 238.35 kg\n Factor of Safety: 0.45\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.35064927259037, + "fos_buckling": 0.4468816140899636, + "fos_yielding": 1.2855521216855572, + "deflection": 0.010989198219129769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002067)" + }, + "parent_node_id": "node_2374", + "improvement_over_parent": null + }, + "node_2376": { + "node_id": "node_2376", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0062)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 269.10 kg\n Factor of Safety: 0.49\n Max Deflection: 9.75e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.10261423793094, + "fos_buckling": 0.4933260616000758, + "fos_yielding": 1.4547399891452375, + "deflection": 0.009748803984797267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_2375", + "improvement_over_parent": null + }, + "node_2377": { + "node_id": "node_2377", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0062)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 305.49 kg\n Factor of Safety: 1.44\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.48501169341006, + "fos_buckling": 1.437262404817757, + "fos_yielding": 2.502231723671678, + "deflection": 0.005174021393849054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_2376", + "improvement_over_parent": null + }, + "node_2378": { + "node_id": "node_2378", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2377", + "improvement_over_parent": null + }, + "node_2379": { + "node_id": "node_2379", + "content": "INITIAL DESIGN (Trace 341)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2380": { + "node_id": "node_2380", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 249.13 kg\n Factor of Safety: 0.36\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.13297376663962, + "fos_buckling": 0.362085509214201, + "fos_yielding": 1.5298440574719965, + "deflection": 0.010864116787553406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_2379", + "improvement_over_parent": null + }, + "node_2381": { + "node_id": "node_2381", + "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 254.33 kg\n Factor of Safety: 0.49\n Max Deflection: 9.93e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.33326220863563, + "fos_buckling": 0.4930167967142453, + "fos_yielding": 1.676427594476415, + "deflection": 0.009934917058470301, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.479)" + }, + "parent_node_id": "node_2380", + "improvement_over_parent": null + }, + "node_2382": { + "node_id": "node_2382", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 267.02 kg\n Factor of Safety: 0.49\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.0216334671242, + "fos_buckling": 0.4927845565278337, + "fos_yielding": 1.6760705226017105, + "deflection": 0.009488083665344213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_2381", + "improvement_over_parent": null + }, + "node_2383": { + "node_id": "node_2383", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.40403092260334, + "fos_buckling": 1.5139971969466084, + "fos_yielding": 2.1869451665963804, + "deflection": 0.005154833138353618, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_2382", + "improvement_over_parent": null + }, + "node_2384": { + "node_id": "node_2384", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2383", + "improvement_over_parent": null + }, + "node_2385": { + "node_id": "node_2385", + "content": "INITIAL DESIGN (Trace 342)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 166.52 kg\n Factor of Safety: 0.62\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.5211274898773, + "fos_buckling": 0.6165798265646266, + "fos_yielding": 1.381579431553188, + "deflection": 0.010719248049103645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2386": { + "node_id": "node_2386", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n\nPerformance:\n Mass: 177.44 kg\n Factor of Safety: 0.62\n Max Deflection: 8.95e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.44046450483165, + "fos_buckling": 0.6160706685660563, + "fos_yielding": 1.3814427719319868, + "deflection": 0.008946574117339338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002722)" + }, + "parent_node_id": "node_2385", + "improvement_over_parent": null + }, + "node_2387": { + "node_id": "node_2387", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n\nPerformance:\n Mass: 190.40 kg\n Factor of Safety: 1.07\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.39613780915442, + "fos_buckling": 1.0717224688508107, + "fos_yielding": 1.3980523918834127, + "deflection": 0.00825586512731825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002761)" + }, + "parent_node_id": "node_2386", + "improvement_over_parent": null + }, + "node_2388": { + "node_id": "node_2388", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 239.37 kg\n Factor of Safety: 1.31\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.36792512661145, + "fos_buckling": 1.3081090044511074, + "fos_yielding": 1.7552823440145087, + "deflection": 0.006589769239287053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_2387", + "improvement_over_parent": null + }, + "node_2389": { + "node_id": "node_2389", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 243.21 kg\n Factor of Safety: 1.26\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.2109869680309, + "fos_buckling": 1.2619339625813688, + "fos_yielding": 1.7554030444670197, + "deflection": 0.0064014112494435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.248)" + }, + "parent_node_id": "node_2388", + "improvement_over_parent": null + }, + "node_2390": { + "node_id": "node_2390", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.464005293559, + "fos_buckling": 1.5143164731521, + "fos_yielding": 2.1872798144459957, + "deflection": 0.005153991389042315, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_2389", + "improvement_over_parent": null + }, + "node_2391": { + "node_id": "node_2391", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2390", + "improvement_over_parent": null + }, + "node_2392": { + "node_id": "node_2392", + "content": "INITIAL DESIGN (Trace 343)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 181.30 kg\n Factor of Safety: 0.48\n Max Deflection: 1.17e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.3038196625259, + "fos_buckling": 0.4796880340916958, + "fos_yielding": 1.188856761551535, + "deflection": 11661756058630.406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2393": { + "node_id": "node_2393", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n\nPerformance:\n Mass: 194.12 kg\n Factor of Safety: 0.57\n Max Deflection: 8.68e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.1189422208136, + "fos_buckling": 0.5666431473635308, + "fos_yielding": 1.7998461796633463, + "deflection": 8679337414193.412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003227)" + }, + "parent_node_id": "node_2392", + "improvement_over_parent": null + }, + "node_2394": { + "node_id": "node_2394", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n\nPerformance:\n Mass: 209.33 kg\n Factor of Safety: 0.89\n Max Deflection: 8.02e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.32727938485, + "fos_buckling": 0.887083485330965, + "fos_yielding": 1.6716940816163803, + "deflection": 0.008023116841690148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003274)" + }, + "parent_node_id": "node_2393", + "improvement_over_parent": null + }, + "node_2395": { + "node_id": "node_2395", + "content": "MODIFICATION: Increase 8 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0043)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n\nPerformance:\n Mass: 211.39 kg\n Factor of Safety: 0.89\n Max Deflection: 7.99e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.39227915932236, + "fos_buckling": 0.887083485330965, + "fos_yielding": 1.892045102970518, + "deflection": 0.007990061279421493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.284)" + }, + "parent_node_id": "node_2394", + "improvement_over_parent": null + }, + "node_2396": { + "node_id": "node_2396", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0043)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n\nPerformance:\n Mass: 228.78 kg\n Factor of Safety: 1.19\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.7814993342729, + "fos_buckling": 1.1904382816495205, + "fos_yielding": 1.863538962358557, + "deflection": 0.006808675862638222, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003501)" + }, + "parent_node_id": "node_2395", + "improvement_over_parent": null + }, + "node_2397": { + "node_id": "node_2397", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0048)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 255.48 kg\n Factor of Safety: 1.31\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.47831797737337, + "fos_buckling": 1.3072206870371088, + "fos_yielding": 2.0794830400779283, + "deflection": 0.006109304566973505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_2396", + "improvement_over_parent": null + }, + "node_2398": { + "node_id": "node_2398", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0059)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 305.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.13e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 305.4346170803435, + "fos_buckling": 1.513547566301327, + "fos_yielding": 2.4827469236665887, + "deflection": 0.005129030685235062, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_2397", + "improvement_over_parent": null + }, + "node_2399": { + "node_id": "node_2399", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2398", + "improvement_over_parent": null + }, + "node_2400": { + "node_id": "node_2400", + "content": "INITIAL DESIGN (Trace 344)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 215.44 kg\n Factor of Safety: 0.30\n Max Deflection: 9.44e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.44084014135916, + "fos_buckling": 0.29779396089085564, + "fos_yielding": 1.500736012384952, + "deflection": 0.009441473542290902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2401": { + "node_id": "node_2401", + "content": "MODIFICATION: Increase 5 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 219.26 kg\n Factor of Safety: 0.45\n Max Deflection: 8.39e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.2588752779536, + "fos_buckling": 0.44968458821218943, + "fos_yielding": 1.5002586621827063, + "deflection": 0.008386273487872445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.634)" + }, + "parent_node_id": "node_2400", + "improvement_over_parent": null + }, + "node_2402": { + "node_id": "node_2402", + "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 223.98 kg\n Factor of Safety: 0.45\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.97669250117403, + "fos_buckling": 0.4492172537688855, + "fos_yielding": 1.4999049508403413, + "deflection": 0.008203250137199585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.309)" + }, + "parent_node_id": "node_2401", + "improvement_over_parent": null + }, + "node_2403": { + "node_id": "node_2403", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 244.88 kg\n Factor of Safety: 1.22\n Max Deflection: 6.39e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.87607004461913, + "fos_buckling": 1.2241664977444389, + "fos_yielding": 1.7735064742704068, + "deflection": 0.006393602169983418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004016)" + }, + "parent_node_id": "node_2402", + "improvement_over_parent": null + }, + "node_2404": { + "node_id": "node_2404", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 302.43 kg\n Factor of Safety: 1.48\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.4310797587345, + "fos_buckling": 1.479409286894148, + "fos_yielding": 2.1873528935467315, + "deflection": 0.0051986265089906366, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_2403", + "improvement_over_parent": null + }, + "node_2405": { + "node_id": "node_2405", + "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.61 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.61272834654505, + "fos_buckling": 1.5148673558042887, + "fos_yielding": 2.1883017452814792, + "deflection": 0.005151573284951466, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.295)" + }, + "parent_node_id": "node_2404", + "improvement_over_parent": null + }, + "node_2406": { + "node_id": "node_2406", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2405", + "improvement_over_parent": null + }, + "node_2407": { + "node_id": "node_2407", + "content": "INITIAL DESIGN (Trace 345)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 127.04 kg\n Factor of Safety: 0.58\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.03904141581619, + "fos_buckling": 0.584654056291855, + "fos_yielding": 0.9870883341937764, + "deflection": 0.012393693699349322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2408": { + "node_id": "node_2408", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 162.70 kg\n Factor of Safety: 0.74\n Max Deflection: 9.70e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.7022060766746, + "fos_buckling": 0.7383617984846425, + "fos_yielding": 1.2625046341107962, + "deflection": 0.009700453647573966, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2407", + "improvement_over_parent": null + }, + "node_2409": { + "node_id": "node_2409", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 202.72 kg\n Factor of Safety: 0.91\n Max Deflection: 7.81e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.72472152082963, + "fos_buckling": 0.9054756007248632, + "fos_yielding": 1.570661710311572, + "deflection": 0.007806268406510111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_2408", + "improvement_over_parent": null + }, + "node_2410": { + "node_id": "node_2410", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 256.18 kg\n Factor of Safety: 1.12\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.1790814005731, + "fos_buckling": 1.1198499379618656, + "fos_yielding": 1.9806540900774736, + "deflection": 0.00619930918460597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_2409", + "improvement_over_parent": null + }, + "node_2411": { + "node_id": "node_2411", + "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 262.78 kg\n Factor of Safety: 1.15\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.77880187407914, + "fos_buckling": 1.150301306945966, + "fos_yielding": 1.9808444459457255, + "deflection": 0.005885109260523784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.439)" + }, + "parent_node_id": "node_2410", + "improvement_over_parent": null + }, + "node_2412": { + "node_id": "node_2412", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.27\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.22720408758454, + "fos_buckling": 1.2658369393361943, + "fos_yielding": 2.2081833253451046, + "deflection": 0.005286540639497208, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_2411", + "improvement_over_parent": null + }, + "node_2413": { + "node_id": "node_2413", + "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.98 kg\n Factor of Safety: 1.43\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.97883727417303, + "fos_buckling": 1.427820909541194, + "fos_yielding": 2.184512747971439, + "deflection": 0.00523601804820464, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.658)" + }, + "parent_node_id": "node_2412", + "improvement_over_parent": null + }, + "node_2414": { + "node_id": "node_2414", + "content": "MODIFICATION: Increase 3 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.05 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.04926739478077, + "fos_buckling": 1.5124588678816937, + "fos_yielding": 2.184204536413195, + "deflection": 0.005160637072952123, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.462)" + }, + "parent_node_id": "node_2413", + "improvement_over_parent": null + }, + "node_2415": { + "node_id": "node_2415", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2414", + "improvement_over_parent": null + }, + "node_2416": { + "node_id": "node_2416", + "content": "INITIAL DESIGN (Trace 346)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 181.21 kg\n Factor of Safety: 0.64\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.2105919540976, + "fos_buckling": 0.6388730412858286, + "fos_yielding": 1.619625150277612, + "deflection": 0.010350177561555932, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2417": { + "node_id": "node_2417", + "content": "MODIFICATION: Increase 12 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 185.95 kg\n Factor of Safety: 0.70\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.94813723819198, + "fos_buckling": 0.700816059220324, + "fos_yielding": 1.620208372073888, + "deflection": 0.010056622868670498, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.362)" + }, + "parent_node_id": "node_2416", + "improvement_over_parent": null + }, + "node_2418": { + "node_id": "node_2418", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n\nPerformance:\n Mass: 198.35 kg\n Factor of Safety: 0.70\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.35378327805515, + "fos_buckling": 0.6951013354761935, + "fos_yielding": 1.6071380462075588, + "deflection": 0.010063693049353575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003117)" + }, + "parent_node_id": "node_2417", + "improvement_over_parent": null + }, + "node_2419": { + "node_id": "node_2419", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 228.37 kg\n Factor of Safety: 0.79\n Max Deflection: 8.76e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.37342657098134, + "fos_buckling": 0.785248149413389, + "fos_yielding": 1.8473758572927932, + "deflection": 0.008756450590488874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_2418", + "improvement_over_parent": null + }, + "node_2420": { + "node_id": "node_2420", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 273.78 kg\n Factor of Safety: 0.91\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.77869233141524, + "fos_buckling": 0.9140789312442178, + "fos_yielding": 2.2092281508931104, + "deflection": 0.007323805298139081, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_2419", + "improvement_over_parent": null + }, + "node_2421": { + "node_id": "node_2421", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 291.81 kg\n Factor of Safety: 0.89\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.810459016645, + "fos_buckling": 0.8858071695332064, + "fos_yielding": 2.1328226677114834, + "deflection": 0.006596248798156801, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_2420", + "improvement_over_parent": null + }, + "node_2422": { + "node_id": "node_2422", + "content": "MODIFICATION: Increase 2 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 297.76 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.7614506451417, + "fos_buckling": 0.8892318019292176, + "fos_yielding": 2.158666623999281, + "deflection": 0.006520024747384739, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.536)" + }, + "parent_node_id": "node_2421", + "improvement_over_parent": null + }, + "node_2423": { + "node_id": "node_2423", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3356503101179, + "fos_buckling": 1.5138193763842367, + "fos_yielding": 2.1863853812776908, + "deflection": 0.005155967136039394, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2422", + "improvement_over_parent": null + }, + "node_2424": { + "node_id": "node_2424", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2423", + "improvement_over_parent": null + }, + "node_2425": { + "node_id": "node_2425", + "content": "INITIAL DESIGN (Trace 347)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 171.79 kg\n Factor of Safety: 0.25\n Max Deflection: 1.43e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.79036508609565, + "fos_buckling": 0.24849476893409075, + "fos_yielding": 0.5944283807757675, + "deflection": 14346301464090.463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2426": { + "node_id": "node_2426", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 209.04 kg\n Factor of Safety: 0.23\n Max Deflection: 1.44e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.04479443092478, + "fos_buckling": 0.23083560108955808, + "fos_yielding": 0.5944283807757675, + "deflection": 14427052235339.727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_2425", + "improvement_over_parent": null + }, + "node_2427": { + "node_id": "node_2427", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 232.27 kg\n Factor of Safety: 0.49\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.26831481207276, + "fos_buckling": 0.4948068020898576, + "fos_yielding": 1.4519654917944622, + "deflection": 0.010639680396531804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_2426", + "improvement_over_parent": null + }, + "node_2428": { + "node_id": "node_2428", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 252.58 kg\n Factor of Safety: 0.49\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.58164969409958, + "fos_buckling": 0.49368651170745165, + "fos_yielding": 1.2649966286343008, + "deflection": 0.010418369491494491, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_2427", + "improvement_over_parent": null + }, + "node_2429": { + "node_id": "node_2429", + "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 254.48 kg\n Factor of Safety: 0.49\n Max Deflection: 9.93e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.47947156503912, + "fos_buckling": 0.49354731252218015, + "fos_yielding": 1.6774738885691616, + "deflection": 0.009926853479132082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.565)" + }, + "parent_node_id": "node_2428", + "improvement_over_parent": null + }, + "node_2430": { + "node_id": "node_2430", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 267.17 kg\n Factor of Safety: 0.49\n Max Deflection: 9.48e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.1678428235277, + "fos_buckling": 0.4933148247920405, + "fos_yielding": 1.6771165962711412, + "deflection": 0.009480396939706443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_2429", + "improvement_over_parent": null + }, + "node_2431": { + "node_id": "node_2431", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5502402790068, + "fos_buckling": 1.5143158127492147, + "fos_yielding": 2.1883479025641526, + "deflection": 0.005152223964480463, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_2430", + "improvement_over_parent": null + }, + "node_2432": { + "node_id": "node_2432", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2431", + "improvement_over_parent": null + }, + "node_2433": { + "node_id": "node_2433", + "content": "INITIAL DESIGN (Trace 348)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 191.89 kg\n Factor of Safety: 0.43\n Max Deflection: 5.55e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.89149211708775, + "fos_buckling": 0.4328063860824653, + "fos_yielding": 1.7825778741407372, + "deflection": 5546194899555.784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2434": { + "node_id": "node_2434", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n\nPerformance:\n Mass: 206.55 kg\n Factor of Safety: 0.32\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.5508032602718, + "fos_buckling": 0.32239705598910284, + "fos_yielding": 1.535716644655864, + "deflection": 0.016940726276417517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003729)" + }, + "parent_node_id": "node_2433", + "improvement_over_parent": null + }, + "node_2435": { + "node_id": "node_2435", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 228.63 kg\n Factor of Safety: 0.32\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.63390816399072, + "fos_buckling": 0.32213164052440124, + "fos_yielding": 1.2230687493253185, + "deflection": 0.0161403867674215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004262)" + }, + "parent_node_id": "node_2434", + "improvement_over_parent": null + }, + "node_2436": { + "node_id": "node_2436", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 233.41 kg\n Factor of Safety: 0.32\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.40660130202264, + "fos_buckling": 0.32190254166327753, + "fos_yielding": 1.2222617609697453, + "deflection": 0.01329185299433476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002808)" + }, + "parent_node_id": "node_2435", + "improvement_over_parent": null + }, + "node_2437": { + "node_id": "node_2437", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n\nPerformance:\n Mass: 255.74 kg\n Factor of Safety: 1.22\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.74374725029907, + "fos_buckling": 1.2198979838702877, + "fos_yielding": 1.876608269682025, + "deflection": 0.006062173899307609, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004603)" + }, + "parent_node_id": "node_2436", + "improvement_over_parent": null + }, + "node_2438": { + "node_id": "node_2438", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 298.87 kg\n Factor of Safety: 1.40\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.87338645300144, + "fos_buckling": 1.3997060435001214, + "fos_yielding": 2.1904599430626095, + "deflection": 0.005204314780596344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_2437", + "improvement_over_parent": null + }, + "node_2439": { + "node_id": "node_2439", + "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 305.19 kg\n Factor of Safety: 1.41\n Max Deflection: 5.15e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.1904321303789, + "fos_buckling": 1.4095594155120137, + "fos_yielding": 2.2069901989276812, + "deflection": 0.005153332389925295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.277)" + }, + "parent_node_id": "node_2438", + "improvement_over_parent": null + }, + "node_2440": { + "node_id": "node_2440", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2439", + "improvement_over_parent": null + }, + "node_2441": { + "node_id": "node_2441", + "content": "INITIAL DESIGN (Trace 349)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 199.61 kg\n Factor of Safety: 0.02\n Max Deflection: 2.07e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.608031649325, + "fos_buckling": 0.02228414553188749, + "fos_yielding": 0.11253192470481692, + "deflection": 207181613237332.72, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2442": { + "node_id": "node_2442", + "content": "MODIFICATION: Increase 12 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 204.60 kg\n Factor of Safety: 0.04\n Max Deflection: 1.02e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.6049524296284, + "fos_buckling": 0.04456829106377498, + "fos_yielding": 0.2588319530712999, + "deflection": 101699161246829.73, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.565)" + }, + "parent_node_id": "node_2441", + "improvement_over_parent": null + }, + "node_2443": { + "node_id": "node_2443", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n Mass: 223.28 kg\n Factor of Safety: 0.75\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.2783212782933, + "fos_buckling": 0.754472284236252, + "fos_yielding": 1.7397572031373676, + "deflection": 0.007042578186049597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003779)" + }, + "parent_node_id": "node_2442", + "improvement_over_parent": null + }, + "node_2444": { + "node_id": "node_2444", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 277.67 kg\n Factor of Safety: 0.91\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.6745352707863, + "fos_buckling": 0.9055869837377415, + "fos_yielding": 2.1601706956527456, + "deflection": 0.005684250239716657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_2443", + "improvement_over_parent": null + }, + "node_2445": { + "node_id": "node_2445", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 297.99 kg\n Factor of Safety: 1.43\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.9878701528131, + "fos_buckling": 1.4279376366969383, + "fos_yielding": 2.182840537759266, + "deflection": 0.005329308091566253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_2444", + "improvement_over_parent": null + }, + "node_2446": { + "node_id": "node_2446", + "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 299.24 kg\n Factor of Safety: 1.41\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.2390953481017, + "fos_buckling": 1.4117866413614764, + "fos_yielding": 2.1838001315551927, + "deflection": 0.0052817088482974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.318)" + }, + "parent_node_id": "node_2445", + "improvement_over_parent": null + }, + "node_2447": { + "node_id": "node_2447", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.25522694169035, + "fos_buckling": 1.5133944452987085, + "fos_yielding": 2.1857850598770194, + "deflection": 0.005157502972451178, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.200)" + }, + "parent_node_id": "node_2446", + "improvement_over_parent": null + }, + "node_2448": { + "node_id": "node_2448", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2447", + "improvement_over_parent": null + }, + "node_2449": { + "node_id": "node_2449", + "content": "INITIAL DESIGN (Trace 350)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 223.12 kg\n Factor of Safety: 0.57\n Max Deflection: 5.10e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.121628398646, + "fos_buckling": 0.5680560443124967, + "fos_yielding": 1.743647776571371, + "deflection": 5098677511697.577, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2450": { + "node_id": "node_2450", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 247.46 kg\n Factor of Safety: 0.76\n Max Deflection: 3.23e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.46275640402294, + "fos_buckling": 0.7574080590833289, + "fos_yielding": 2.3248637020951612, + "deflection": 3234795475772.9727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_2449", + "improvement_over_parent": null + }, + "node_2451": { + "node_id": "node_2451", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 250.27 kg\n Factor of Safety: 0.45\n Max Deflection: 5.19e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.26701238316346, + "fos_buckling": 0.45444483544999736, + "fos_yielding": 1.3949182212570967, + "deflection": 5187296302264.447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_2450", + "improvement_over_parent": null + }, + "node_2452": { + "node_id": "node_2452", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 270.58 kg\n Factor of Safety: 1.07\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.58034726519026, + "fos_buckling": 1.0656049024121836, + "fos_yielding": 2.2252059048523685, + "deflection": 0.006325271766455364, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_2451", + "improvement_over_parent": null + }, + "node_2453": { + "node_id": "node_2453", + "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0059)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 276.80 kg\n Factor of Safety: 1.07\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.79967748969796, + "fos_buckling": 1.0657718221851569, + "fos_yielding": 2.2120668385476185, + "deflection": 0.006303665549621466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.395)" + }, + "parent_node_id": "node_2452", + "improvement_over_parent": null + }, + "node_2454": { + "node_id": "node_2454", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0059)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 300.02 kg\n Factor of Safety: 1.25\n Max Deflection: 5.40e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.02319787084593, + "fos_buckling": 1.250040526836677, + "fos_yielding": 2.1709160919411166, + "deflection": 0.005404730013268175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_2453", + "improvement_over_parent": null + }, + "node_2455": { + "node_id": "node_2455", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2454", + "improvement_over_parent": null + }, + "node_2456": { + "node_id": "node_2456", + "content": "INITIAL DESIGN (Trace 351)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 142.02 kg\n Factor of Safety: 0.62\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.01672460068062, + "fos_buckling": 0.623732855077531, + "fos_yielding": 1.119620117388469, + "deflection": 0.011571036984260194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2457": { + "node_id": "node_2457", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 184.10 kg\n Factor of Safety: 0.79\n Max Deflection: 8.96e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.10105439240132, + "fos_buckling": 0.7852811053176079, + "fos_yielding": 1.449665731118923, + "deflection": 0.008957013021098364, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_2456", + "improvement_over_parent": null + }, + "node_2458": { + "node_id": "node_2458", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n\nPerformance:\n Mass: 200.53 kg\n Factor of Safety: 0.93\n Max Deflection: 7.75e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.5342738171506, + "fos_buckling": 0.9296907794836721, + "fos_yielding": 1.442774965024189, + "deflection": 0.007751092174696926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003210)" + }, + "parent_node_id": "node_2457", + "improvement_over_parent": null + }, + "node_2459": { + "node_id": "node_2459", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n\nPerformance:\n Mass: 245.62 kg\n Factor of Safety: 1.10\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.62296550318712, + "fos_buckling": 1.1015827627755972, + "fos_yielding": 1.7650157164191385, + "deflection": 0.006350224006328881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_2458", + "improvement_over_parent": null + }, + "node_2460": { + "node_id": "node_2460", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 297.12 kg\n Factor of Safety: 1.28\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.1208082516052, + "fos_buckling": 1.2819129378659067, + "fos_yielding": 2.132060787954192, + "deflection": 0.005270353409092795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_2459", + "improvement_over_parent": null + }, + "node_2461": { + "node_id": "node_2461", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 299.93 kg\n Factor of Safety: 1.51\n Max Deflection: 5.18e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 299.9250642307457, + "fos_buckling": 1.5139260583427472, + "fos_yielding": 2.199376986107337, + "deflection": 0.005181407295042151, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_2460", + "improvement_over_parent": null + }, + "node_2462": { + "node_id": "node_2462", + "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0062)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 305.55 kg\n Factor of Safety: 1.53\n Max Deflection: 5.13e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 305.54967768972375, + "fos_buckling": 1.5295459184362223, + "fos_yielding": 2.1991530245208244, + "deflection": 0.0051335098190167655, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.261)" + }, + "parent_node_id": "node_2461", + "improvement_over_parent": null + }, + "node_2463": { + "node_id": "node_2463", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2462", + "improvement_over_parent": null + }, + "node_2464": { + "node_id": "node_2464", + "content": "INITIAL DESIGN (Trace 352)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 170.49 kg\n Factor of Safety: 0.32\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.48682418939745, + "fos_buckling": 0.3202960811624662, + "fos_yielding": 0.7382240227309786, + "deflection": 0.01882857966429251, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2465": { + "node_id": "node_2465", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n\nPerformance:\n Mass: 188.09 kg\n Factor of Safety: 0.60\n Max Deflection: 8.52e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.09139138195542, + "fos_buckling": 0.5955006470982575, + "fos_yielding": 1.6175708979921744, + "deflection": 0.00852375453694706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003567)" + }, + "parent_node_id": "node_2464", + "improvement_over_parent": null + }, + "node_2466": { + "node_id": "node_2466", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 200.26 kg\n Factor of Safety: 0.93\n Max Deflection: 7.70e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.26119026496784, + "fos_buckling": 0.9302479034337073, + "fos_yielding": 1.4618665089694909, + "deflection": 0.007700500237523387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002762)" + }, + "parent_node_id": "node_2465", + "improvement_over_parent": null + }, + "node_2467": { + "node_id": "node_2467", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 232.42 kg\n Factor of Safety: 1.06\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.4203109864857, + "fos_buckling": 1.0629526371402689, + "fos_yielding": 1.6951993967162313, + "deflection": 0.006651750059642981, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_2466", + "improvement_over_parent": null + }, + "node_2468": { + "node_id": "node_2468", + "content": "MODIFICATION: Increase 15 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0044)]\n\nPerformance:\n Mass: 237.13 kg\n Factor of Safety: 1.11\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.13168322463326, + "fos_buckling": 1.1069938152546765, + "fos_yielding": 1.683058079369874, + "deflection": 0.006602201941283632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.368)" + }, + "parent_node_id": "node_2467", + "improvement_over_parent": null + }, + "node_2469": { + "node_id": "node_2469", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0058)]\n\nPerformance:\n Mass: 302.71 kg\n Factor of Safety: 1.37\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.71235080977453, + "fos_buckling": 1.3681526480438422, + "fos_yielding": 2.1464764646709944, + "deflection": 0.005195766205181329, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_2468", + "improvement_over_parent": null + }, + "node_2470": { + "node_id": "node_2470", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2469", + "improvement_over_parent": null + }, + "node_2471": { + "node_id": "node_2471", + "content": "INITIAL DESIGN (Trace 353)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 168.68 kg\n Factor of Safety: 0.58\n Max Deflection: 8.57e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.68270010247483, + "fos_buckling": 0.5785050063678618, + "fos_yielding": 1.4653111736153435, + "deflection": 8568433159197.211, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2472": { + "node_id": "node_2472", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 210.29 kg\n Factor of Safety: 1.05\n Max Deflection: 8.52e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.28573795508643, + "fos_buckling": 1.0504355125894467, + "fos_yielding": 2.7650678199048446, + "deflection": 8521273593408.461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_2471", + "improvement_over_parent": null + }, + "node_2473": { + "node_id": "node_2473", + "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 214.15 kg\n Factor of Safety: 0.53\n Max Deflection: 8.54e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.1482416234097, + "fos_buckling": 0.5252177562947233, + "fos_yielding": 2.1779887334802486, + "deflection": 8537999215586.185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.233)" + }, + "parent_node_id": "node_2472", + "improvement_over_parent": null + }, + "node_2474": { + "node_id": "node_2474", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n\nPerformance:\n Mass: 236.36 kg\n Factor of Safety: 0.79\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.35973202535016, + "fos_buckling": 0.7929400481747134, + "fos_yielding": 1.8425537215913244, + "deflection": 0.007636748153934933, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004575)" + }, + "parent_node_id": "node_2473", + "improvement_over_parent": null + }, + "node_2475": { + "node_id": "node_2475", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 241.11 kg\n Factor of Safety: 0.79\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.10570424473488, + "fos_buckling": 0.7923712997932454, + "fos_yielding": 1.8423955132129815, + "deflection": 0.006555425997001774, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002791)" + }, + "parent_node_id": "node_2474", + "improvement_over_parent": null + }, + "node_2476": { + "node_id": "node_2476", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 283.25 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.24781470541836, + "fos_buckling": 0.9061784924244147, + "fos_yielding": 2.162336374076874, + "deflection": 0.005596362323013264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_2475", + "improvement_over_parent": null + }, + "node_2477": { + "node_id": "node_2477", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.56 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5611495874452, + "fos_buckling": 1.514854693422962, + "fos_yielding": 2.1881971722388105, + "deflection": 0.005152383028407851, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_2476", + "improvement_over_parent": null + }, + "node_2478": { + "node_id": "node_2478", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2477", + "improvement_over_parent": null + }, + "node_2479": { + "node_id": "node_2479", + "content": "INITIAL DESIGN (Trace 354)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 142.30 kg\n Factor of Safety: 0.25\n Max Deflection: 2.44e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.29845898391292, + "fos_buckling": 0.25168294623865367, + "fos_yielding": 0.5944283807757674, + "deflection": 24444707342311.5, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2480": { + "node_id": "node_2480", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n\nPerformance:\n Mass: 164.15 kg\n Factor of Safety: 0.71\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.1541184470795, + "fos_buckling": 0.7087138530924268, + "fos_yielding": 1.3066685921634518, + "deflection": 0.010023736434835603, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003469)" + }, + "parent_node_id": "node_2479", + "improvement_over_parent": null + }, + "node_2481": { + "node_id": "node_2481", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n\nPerformance:\n Mass: 195.94 kg\n Factor of Safety: 0.83\n Max Deflection: 8.42e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.93962086151018, + "fos_buckling": 0.8273078004572787, + "fos_yielding": 1.5583129291371431, + "deflection": 0.008419748469173345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_2480", + "improvement_over_parent": null + }, + "node_2482": { + "node_id": "node_2482", + "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n\nPerformance:\n Mass: 196.85 kg\n Factor of Safety: 0.83\n Max Deflection: 8.41e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.84939439891653, + "fos_buckling": 0.8271954655010121, + "fos_yielding": 1.5586563820232613, + "deflection": 0.008406646629983448, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.314)" + }, + "parent_node_id": "node_2481", + "improvement_over_parent": null + }, + "node_2483": { + "node_id": "node_2483", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 221.41 kg\n Factor of Safety: 0.91\n Max Deflection: 7.49e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.40532950925532, + "fos_buckling": 0.9143510690200337, + "fos_yielding": 1.7519542914087272, + "deflection": 0.007489391708256491, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_2482", + "improvement_over_parent": null + }, + "node_2484": { + "node_id": "node_2484", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 274.71 kg\n Factor of Safety: 1.09\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.71140121178894, + "fos_buckling": 1.0915730683962883, + "fos_yielding": 2.170696357636408, + "deflection": 0.006062592541281785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_2483", + "improvement_over_parent": null + }, + "node_2485": { + "node_id": "node_2485", + "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 279.15 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.14654084752215, + "fos_buckling": 1.0913934961061293, + "fos_yielding": 2.1903636383111325, + "deflection": 0.006000446709911519, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.355)" + }, + "parent_node_id": "node_2484", + "improvement_over_parent": null + }, + "node_2486": { + "node_id": "node_2486", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.48766885289905, + "fos_buckling": 1.5141709012602094, + "fos_yielding": 2.1875348058672994, + "deflection": 0.005153586834156476, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_2485", + "improvement_over_parent": null + }, + "node_2487": { + "node_id": "node_2487", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2486", + "improvement_over_parent": null + }, + "node_2488": { + "node_id": "node_2488", + "content": "INITIAL DESIGN (Trace 355)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 183.62 kg\n Factor of Safety: 0.44\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.61893854648025, + "fos_buckling": 0.4355469398202245, + "fos_yielding": 1.4390345797214987, + "deflection": 0.012624492928469486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2489": { + "node_id": "node_2489", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n\nPerformance:\n Mass: 201.01 kg\n Factor of Safety: 0.43\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.00601277971313, + "fos_buckling": 0.4347002506901505, + "fos_yielding": 1.437771881606291, + "deflection": 0.012465732285927967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003781)" + }, + "parent_node_id": "node_2488", + "improvement_over_parent": null + }, + "node_2490": { + "node_id": "node_2490", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n\nPerformance:\n Mass: 232.15 kg\n Factor of Safety: 0.47\n Max Deflection: 7.79e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.150412065694, + "fos_buckling": 0.47008863168096593, + "fos_yielding": 1.584077919123889, + "deflection": 0.00779240029771359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005061)" + }, + "parent_node_id": "node_2489", + "improvement_over_parent": null + }, + "node_2491": { + "node_id": "node_2491", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 254.23 kg\n Factor of Safety: 1.26\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.228727610979, + "fos_buckling": 1.258173166452513, + "fos_yielding": 1.8466831128259327, + "deflection": 0.006119586951579915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004261)" + }, + "parent_node_id": "node_2490", + "improvement_over_parent": null + }, + "node_2492": { + "node_id": "node_2492", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.11 kg\n Factor of Safety: 1.43\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.1089901922709, + "fos_buckling": 1.4258224352409994, + "fos_yielding": 2.1558960757282932, + "deflection": 0.005253466927178718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_2491", + "improvement_over_parent": null + }, + "node_2493": { + "node_id": "node_2493", + "content": "MODIFICATION: Increase 2 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.47 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4676985533647, + "fos_buckling": 1.5143265341187557, + "fos_yielding": 2.1873212998588, + "deflection": 0.005153809603143857, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.592)" + }, + "parent_node_id": "node_2492", + "improvement_over_parent": null + }, + "node_2494": { + "node_id": "node_2494", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2493", + "improvement_over_parent": null + }, + "node_2495": { + "node_id": "node_2495", + "content": "INITIAL DESIGN (Trace 356)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 188.04 kg\n Factor of Safety: 0.79\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.03758490196475, + "fos_buckling": 0.7944622679481278, + "fos_yielding": 0.9841579222936054, + "deflection": 0.008258212045076842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2496": { + "node_id": "node_2496", + "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 189.97 kg\n Factor of Safety: 1.02\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.9741476451103, + "fos_buckling": 1.0192368021796256, + "fos_yielding": 1.37291019668672, + "deflection": 0.008161900849255511, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.435)" + }, + "parent_node_id": "node_2495", + "improvement_over_parent": null + }, + "node_2497": { + "node_id": "node_2497", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 240.25 kg\n Factor of Safety: 1.25\n Max Deflection: 6.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.25269974543028, + "fos_buckling": 1.24889126431179, + "fos_yielding": 1.7342713416644706, + "deflection": 0.006478690601792979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_2496", + "improvement_over_parent": null + }, + "node_2498": { + "node_id": "node_2498", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.49774706183615, + "fos_buckling": 1.5143983446426974, + "fos_yielding": 2.1876483192760605, + "deflection": 0.005153369357458981, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_2497", + "improvement_over_parent": null + }, + "node_2499": { + "node_id": "node_2499", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2498", + "improvement_over_parent": null + }, + "node_2500": { + "node_id": "node_2500", + "content": "INITIAL DESIGN (Trace 357)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 217.18 kg\n Factor of Safety: 0.49\n Max Deflection: 8.66e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.1798076724917, + "fos_buckling": 0.487142426394427, + "fos_yielding": 1.6504646725272638, + "deflection": 0.008661064371403604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2501": { + "node_id": "node_2501", + "content": "MODIFICATION: Increase 11 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 220.07 kg\n Factor of Safety: 0.49\n Max Deflection: 8.54e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.06834102567268, + "fos_buckling": 0.48683266447949464, + "fos_yielding": 1.6502265020252365, + "deflection": 0.008541570488379812, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.176)" + }, + "parent_node_id": "node_2500", + "improvement_over_parent": null + }, + "node_2502": { + "node_id": "node_2502", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 246.91 kg\n Factor of Safety: 0.53\n Max Deflection: 7.63e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.9111601736123, + "fos_buckling": 0.5336686256284416, + "fos_yielding": 1.8494497472470457, + "deflection": 0.007628760587797411, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_2501", + "improvement_over_parent": null + }, + "node_2503": { + "node_id": "node_2503", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 0.53\n Max Deflection: 7.36e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.48535983858852, + "fos_buckling": 0.5332340551578824, + "fos_yielding": 1.8491068320818467, + "deflection": 0.007355661237100419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2502", + "improvement_over_parent": null + }, + "node_2504": { + "node_id": "node_2504", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 276.83 kg\n Factor of Safety: 0.53\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.8264878439654, + "fos_buckling": 0.5322876804190482, + "fos_yielding": 1.8483585616851421, + "deflection": 0.006818431658412611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_2503", + "improvement_over_parent": null + }, + "node_2505": { + "node_id": "node_2505", + "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0070)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 281.55 kg\n Factor of Safety: 0.53\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.55018562297437, + "fos_buckling": 0.5322876804190482, + "fos_yielding": 2.4777186011044248, + "deflection": 0.006560390158513967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.517)" + }, + "parent_node_id": "node_2504", + "improvement_over_parent": null + }, + "node_2506": { + "node_id": "node_2506", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0070)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 307.34 kg\n Factor of Safety: 1.47\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 307.34081316538834, + "fos_buckling": 1.4670729605395898, + "fos_yielding": 2.484750403454382, + "deflection": 0.005111982201549108, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_2505", + "improvement_over_parent": null + }, + "node_2507": { + "node_id": "node_2507", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2506", + "improvement_over_parent": null + }, + "node_2508": { + "node_id": "node_2508", + "content": "INITIAL DESIGN (Trace 358)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 240.84 kg\n Factor of Safety: 1.21\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.83710185729387, + "fos_buckling": 1.213427490252269, + "fos_yielding": 1.8089791977258507, + "deflection": 0.006396886589700357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2509": { + "node_id": "node_2509", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.05 kg\n Factor of Safety: 1.45\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.0489946879765, + "fos_buckling": 1.4458035785771104, + "fos_yielding": 2.204859055416912, + "deflection": 0.005261392822256222, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_2508", + "improvement_over_parent": null + }, + "node_2510": { + "node_id": "node_2510", + "content": "MODIFICATION: Increase 3 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 298.90 kg\n Factor of Safety: 1.51\n Max Deflection: 5.19e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 298.89716084300534, + "fos_buckling": 1.5133329186982982, + "fos_yielding": 2.204588438312766, + "deflection": 0.005190559089496054, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.433)" + }, + "parent_node_id": "node_2509", + "improvement_over_parent": null + }, + "node_2511": { + "node_id": "node_2511", + "content": "MODIFICATION: Increase 14 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4645362802507, + "fos_buckling": 1.5142839728351496, + "fos_yielding": 2.187125830234753, + "deflection": 0.005154058212769541, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.372)" + }, + "parent_node_id": "node_2510", + "improvement_over_parent": null + }, + "node_2512": { + "node_id": "node_2512", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2511", + "improvement_over_parent": null + }, + "node_2513": { + "node_id": "node_2513", + "content": "INITIAL DESIGN (Trace 359)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 247.82 kg\n Factor of Safety: 0.25\n Max Deflection: 2.72e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.818915923107, + "fos_buckling": 0.24726256315439205, + "fos_yielding": 1.3642333560727262, + "deflection": 0.027201893970606933, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2514": { + "node_id": "node_2514", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 250.35 kg\n Factor of Safety: 0.41\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.3501387725237, + "fos_buckling": 0.4097618661184956, + "fos_yielding": 1.285823980933232, + "deflection": 0.011840344024381421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002109)" + }, + "parent_node_id": "node_2513", + "improvement_over_parent": null + }, + "node_2515": { + "node_id": "node_2515", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 277.46 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.4579235650168, + "fos_buckling": 0.44541897254976776, + "fos_yielding": 1.4214631594718226, + "deflection": 0.010709814377625002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_2514", + "improvement_over_parent": null + }, + "node_2516": { + "node_id": "node_2516", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.54571584779296, + "fos_buckling": 1.5146436995470642, + "fos_yielding": 2.187943815545156, + "deflection": 0.005152676063843717, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_2515", + "improvement_over_parent": null + }, + "node_2517": { + "node_id": "node_2517", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2516", + "improvement_over_parent": null + }, + "node_2518": { + "node_id": "node_2518", + "content": "INITIAL DESIGN (Trace 360)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 194.96 kg\n Factor of Safety: 0.93\n Max Deflection: 7.96e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.96125456208568, + "fos_buckling": 0.9273494847540602, + "fos_yielding": 1.2932742825994068, + "deflection": 0.007963606223586196, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2519": { + "node_id": "node_2519", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 236.78 kg\n Factor of Safety: 1.11\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.78286457319598, + "fos_buckling": 1.1069220826146158, + "fos_yielding": 1.5728392717289184, + "deflection": 0.00657790618995849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_2518", + "improvement_over_parent": null + }, + "node_2520": { + "node_id": "node_2520", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.41 kg\n Factor of Safety: 1.36\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.4090608951234, + "fos_buckling": 1.3629421323557163, + "fos_yielding": 1.9934305975744828, + "deflection": 0.005226723383860096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_2519", + "improvement_over_parent": null + }, + "node_2521": { + "node_id": "node_2521", + "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.37 kg\n Factor of Safety: 1.51\n Max Deflection: 5.17e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 301.3692901330402, + "fos_buckling": 1.5111187251000417, + "fos_yielding": 2.1939704027937164, + "deflection": 0.005173080336234265, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.285)" + }, + "parent_node_id": "node_2520", + "improvement_over_parent": null + }, + "node_2522": { + "node_id": "node_2522", + "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.31 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3070136261482, + "fos_buckling": 1.5135780966762822, + "fos_yielding": 2.1861866746705676, + "deflection": 0.005156571595850418, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.198)" + }, + "parent_node_id": "node_2521", + "improvement_over_parent": null + }, + "node_2523": { + "node_id": "node_2523", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2522", + "improvement_over_parent": null + }, + "node_2524": { + "node_id": "node_2524", + "content": "INITIAL DESIGN (Trace 361)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 221.69 kg\n Factor of Safety: 0.23\n Max Deflection: 1.05e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.68996115025305, + "fos_buckling": 0.2294450856732608, + "fos_yielding": 0.5944283807757675, + "deflection": 10525493670790.688, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2525": { + "node_id": "node_2525", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 258.07 kg\n Factor of Safety: 1.08\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.0723586057322, + "fos_buckling": 1.0805870863782159, + "fos_yielding": 2.395905482661271, + "deflection": 0.008365201782926839, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_2524", + "improvement_over_parent": null + }, + "node_2526": { + "node_id": "node_2526", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n\nPerformance:\n Mass: 259.89 kg\n Factor of Safety: 1.08\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.8854944288148, + "fos_buckling": 1.0800146526505143, + "fos_yielding": 2.395905482661271, + "deflection": 0.006513401349067999, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001475)" + }, + "parent_node_id": "node_2525", + "improvement_over_parent": null + }, + "node_2527": { + "node_id": "node_2527", + "content": "MODIFICATION: Increase 12 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0091)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n\nPerformance:\n Mass: 275.98 kg\n Factor of Safety: 1.08\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.982259035416, + "fos_buckling": 1.0787463204110985, + "fos_yielding": 2.395905482661271, + "deflection": 0.005975343577715116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.513)" + }, + "parent_node_id": "node_2526", + "improvement_over_parent": null + }, + "node_2528": { + "node_id": "node_2528", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0091)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 293.10 kg\n Factor of Safety: 1.08\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.10021426699046, + "fos_buckling": 1.0774007886106722, + "fos_yielding": 2.395905482661271, + "deflection": 0.005418759217377154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_2527", + "improvement_over_parent": null + }, + "node_2529": { + "node_id": "node_2529", + "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0078)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0091)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 305.58 kg\n Factor of Safety: 1.08\n Max Deflection: 5.36e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.58125196869145, + "fos_buckling": 1.076421848886008, + "fos_yielding": 2.395905482661271, + "deflection": 0.005356713451938367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.600)" + }, + "parent_node_id": "node_2528", + "improvement_over_parent": null + }, + "node_2530": { + "node_id": "node_2530", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0078)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0091)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 323.61 kg\n Factor of Safety: 1.31\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 323.6130186539212, + "fos_buckling": 1.3134492709416377, + "fos_yielding": 2.1854006893118663, + "deflection": 0.0049115370742238845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_2529", + "improvement_over_parent": null + }, + "node_2531": { + "node_id": "node_2531", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2530", + "improvement_over_parent": null + }, + "node_2532": { + "node_id": "node_2532", + "content": "INITIAL DESIGN (Trace 362)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0011)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 139.18 kg\n Factor of Safety: 0.25\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.18259119329232, + "fos_buckling": 0.24981089674551266, + "fos_yielding": 0.734883590935862, + "deflection": 0.021041747598926047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2533": { + "node_id": "node_2533", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0011)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n\nPerformance:\n Mass: 152.50 kg\n Factor of Safety: 0.74\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.49845864227018, + "fos_buckling": 0.7391661860753905, + "fos_yielding": 1.119547834240139, + "deflection": 0.010207312179488564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002659)" + }, + "parent_node_id": "node_2532", + "improvement_over_parent": null + }, + "node_2534": { + "node_id": "node_2534", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n\nPerformance:\n Mass: 178.45 kg\n Factor of Safety: 0.86\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.44972114620595, + "fos_buckling": 0.8584582165180821, + "fos_yielding": 1.3091604914493304, + "deflection": 0.008739390784030892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_2533", + "improvement_over_parent": null + }, + "node_2535": { + "node_id": "node_2535", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n\nPerformance:\n Mass: 218.31 kg\n Factor of Safety: 1.04\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.30864729587282, + "fos_buckling": 1.0379155373239772, + "fos_yielding": 1.599869869011266, + "deflection": 0.007164431191473942, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_2534", + "improvement_over_parent": null + }, + "node_2536": { + "node_id": "node_2536", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n\nPerformance:\n Mass: 270.22 kg\n Factor of Safety: 1.26\n Max Deflection: 5.81e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.22231395448756, + "fos_buckling": 1.2647145496163505, + "fos_yielding": 1.9775478150763182, + "deflection": 0.005809773920955191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_2535", + "improvement_over_parent": null + }, + "node_2537": { + "node_id": "node_2537", + "content": "MODIFICATION: Increase 7 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n\nPerformance:\n Mass: 271.30 kg\n Factor of Safety: 1.28\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 271.2962743816065, + "fos_buckling": 1.277835795692607, + "fos_yielding": 1.9819958569908214, + "deflection": 0.0058036625648995735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.481)" + }, + "parent_node_id": "node_2536", + "improvement_over_parent": null + }, + "node_2538": { + "node_id": "node_2538", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 299.95 kg\n Factor of Safety: 1.40\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.951370196732, + "fos_buckling": 1.4003071305194248, + "fos_yielding": 2.1897186074855015, + "deflection": 0.005259796837885855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_2537", + "improvement_over_parent": null + }, + "node_2539": { + "node_id": "node_2539", + "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 302.79 kg\n Factor of Safety: 1.37\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.78719481248487, + "fos_buckling": 1.3673587723865364, + "fos_yielding": 2.1895628120865473, + "deflection": 0.005226238420694459, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.218)" + }, + "parent_node_id": "node_2538", + "improvement_over_parent": null + }, + "node_2540": { + "node_id": "node_2540", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2539", + "improvement_over_parent": null + }, + "node_2541": { + "node_id": "node_2541", + "content": "INITIAL DESIGN (Trace 363)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 232.52 kg\n Factor of Safety: 0.47\n Max Deflection: 7.90e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.5175653595104, + "fos_buckling": 0.46995727245424956, + "fos_yielding": 1.5842084282815296, + "deflection": 0.007895915534116938, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2542": { + "node_id": "node_2542", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 254.60 kg\n Factor of Safety: 1.38\n Max Deflection: 6.23e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.6006702632293, + "fos_buckling": 1.3820436128488434, + "fos_yielding": 1.8740933794164454, + "deflection": 0.006234702236750994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004262)" + }, + "parent_node_id": "node_2541", + "improvement_over_parent": null + }, + "node_2543": { + "node_id": "node_2543", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 297.55 kg\n Factor of Safety: 1.57\n Max Deflection: 5.35e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 297.5513541490428, + "fos_buckling": 1.5700208406793175, + "fos_yielding": 2.187544776275205, + "deflection": 0.0053504218370473205, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_2542", + "improvement_over_parent": null + }, + "node_2544": { + "node_id": "node_2544", + "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5333961466083, + "fos_buckling": 1.5144414779432451, + "fos_yielding": 2.1877256686640245, + "deflection": 0.005152720537105775, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.335)" + }, + "parent_node_id": "node_2543", + "improvement_over_parent": null + }, + "node_2545": { + "node_id": "node_2545", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2544", + "improvement_over_parent": null + }, + "node_2546": { + "node_id": "node_2546", + "content": "INITIAL DESIGN (Trace 364)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 219.76 kg\n Factor of Safety: 0.68\n Max Deflection: 7.85e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.75888547410713, + "fos_buckling": 0.6846957315434319, + "fos_yielding": 1.637392721983368, + "deflection": 0.007848696270969327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2547": { + "node_id": "node_2547", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 278.64 kg\n Factor of Safety: 0.85\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.63598835954775, + "fos_buckling": 0.852638963414669, + "fos_yielding": 2.0908528078851814, + "deflection": 0.006208540576120523, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2546", + "improvement_over_parent": null + }, + "node_2548": { + "node_id": "node_2548", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 301.86 kg\n Factor of Safety: 1.34\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.85950874069573, + "fos_buckling": 1.34270373100041, + "fos_yielding": 2.1868828921506993, + "deflection": 0.005229691378333155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_2547", + "improvement_over_parent": null + }, + "node_2549": { + "node_id": "node_2549", + "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.61 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.61150312648834, + "fos_buckling": 1.514940221139961, + "fos_yielding": 2.1884670103003314, + "deflection": 0.005151316335490294, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.502)" + }, + "parent_node_id": "node_2548", + "improvement_over_parent": null + }, + "node_2550": { + "node_id": "node_2550", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2549", + "improvement_over_parent": null + }, + "node_2551": { + "node_id": "node_2551", + "content": "INITIAL DESIGN (Trace 365)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 182.16 kg\n Factor of Safety: 0.81\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.16323666077298, + "fos_buckling": 0.8070902732681, + "fos_yielding": 1.3539726638711718, + "deflection": 0.008824181033734035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2552": { + "node_id": "node_2552", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n\nPerformance:\n Mass: 199.12 kg\n Factor of Safety: 0.82\n Max Deflection: 7.78e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.12118382629274, + "fos_buckling": 0.8181527595259366, + "fos_yielding": 1.1276126491692426, + "deflection": 0.00778086514172941, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003319)" + }, + "parent_node_id": "node_2551", + "improvement_over_parent": null + }, + "node_2553": { + "node_id": "node_2553", + "content": "MODIFICATION: Increase 15 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0047)]\n\nPerformance:\n Mass: 205.74 kg\n Factor of Safety: 0.81\n Max Deflection: 7.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.74466430210023, + "fos_buckling": 0.8060183464133727, + "fos_yielding": 1.1108884890944168, + "deflection": 0.007692536728574766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.427)" + }, + "parent_node_id": "node_2552", + "improvement_over_parent": null + }, + "node_2554": { + "node_id": "node_2554", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0061)]\n\nPerformance:\n Mass: 261.51 kg\n Factor of Safety: 1.01\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.50702135116967, + "fos_buckling": 1.0088506868005471, + "fos_yielding": 1.419181436621613, + "deflection": 0.0060729478783082295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2553", + "improvement_over_parent": null + }, + "node_2555": { + "node_id": "node_2555", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0070)]\n\nPerformance:\n Mass: 295.27 kg\n Factor of Safety: 1.13\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.26746272736847, + "fos_buckling": 1.1284062261617382, + "fos_yielding": 1.60775757302965, + "deflection": 0.00538952003990921, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_2554", + "improvement_over_parent": null + }, + "node_2556": { + "node_id": "node_2556", + "content": "MODIFICATION: Increase 2 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0070)]\n\nPerformance:\n Mass: 301.84 kg\n Factor of Safety: 1.13\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.8377982675707, + "fos_buckling": 1.128541218486833, + "fos_yielding": 1.6079499106186674, + "deflection": 0.005299261964242959, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.623)" + }, + "parent_node_id": "node_2555", + "improvement_over_parent": null + }, + "node_2557": { + "node_id": "node_2557", + "content": "MODIFICATION: Increase 6 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0070)]\n\nPerformance:\n Mass: 305.26 kg\n Factor of Safety: 1.28\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.2638402019429, + "fos_buckling": 1.2847817870280478, + "fos_yielding": 2.1582742850011307, + "deflection": 0.005173074789289404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.616)" + }, + "parent_node_id": "node_2556", + "improvement_over_parent": null + }, + "node_2558": { + "node_id": "node_2558", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2557", + "improvement_over_parent": null + }, + "node_2559": { + "node_id": "node_2559", + "content": "INITIAL DESIGN (Trace 366)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 169.82 kg\n Factor of Safety: 0.35\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.81897155489582, + "fos_buckling": 0.3533079340861716, + "fos_yielding": 1.1346761191250296, + "deflection": 0.010828549077455153, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2560": { + "node_id": "node_2560", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 185.60 kg\n Factor of Safety: 1.00\n Max Deflection: 8.35e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.59594693184664, + "fos_buckling": 0.9984506439487774, + "fos_yielding": 1.3413228361703775, + "deflection": 0.008351654219902372, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002977)" + }, + "parent_node_id": "node_2559", + "improvement_over_parent": null + }, + "node_2561": { + "node_id": "node_2561", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 220.93 kg\n Factor of Safety: 1.16\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.92953919427003, + "fos_buckling": 1.1625838948539864, + "fos_yielding": 1.5953951336078964, + "deflection": 0.007034960294720501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_2560", + "improvement_over_parent": null + }, + "node_2562": { + "node_id": "node_2562", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 267.21 kg\n Factor of Safety: 1.37\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.2142202729512, + "fos_buckling": 1.365242590255944, + "fos_yielding": 1.9275938367737109, + "deflection": 0.005836997752908455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_2561", + "improvement_over_parent": null + }, + "node_2563": { + "node_id": "node_2563", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.97 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 302.9710202853036, + "fos_buckling": 1.51228954696252, + "fos_yielding": 2.183751236072053, + "deflection": 0.005162132124960599, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_2562", + "improvement_over_parent": null + }, + "node_2564": { + "node_id": "node_2564", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2563", + "improvement_over_parent": null + }, + "node_2565": { + "node_id": "node_2565", + "content": "INITIAL DESIGN (Trace 367)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0012)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 126.52 kg\n Factor of Safety: 0.72\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.51777873513122, + "fos_buckling": 0.7243625300526261, + "fos_yielding": 0.9450769563055507, + "deflection": 0.01206768592440108, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2566": { + "node_id": "node_2566", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 157.51 kg\n Factor of Safety: 0.88\n Max Deflection: 9.72e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.51054779403037, + "fos_buckling": 0.8843656110818433, + "fos_yielding": 1.1755441631777552, + "deflection": 0.009717259479570915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_2565", + "improvement_over_parent": null + }, + "node_2567": { + "node_id": "node_2567", + "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 159.20 kg\n Factor of Safety: 0.88\n Max Deflection: 9.63e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.1987801610138, + "fos_buckling": 0.8841829645867538, + "fos_yielding": 1.1821711997701327, + "deflection": 0.009631244622944386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.221)" + }, + "parent_node_id": "node_2566", + "improvement_over_parent": null + }, + "node_2568": { + "node_id": "node_2568", + "content": "MODIFICATION: Increase 14 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 162.01 kg\n Factor of Safety: 0.88\n Max Deflection: 9.55e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.01000435068096, + "fos_buckling": 0.8843130376039089, + "fos_yielding": 1.1714579073282445, + "deflection": 0.009550316623671992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.431)" + }, + "parent_node_id": "node_2567", + "improvement_over_parent": null + }, + "node_2569": { + "node_id": "node_2569", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 181.09 kg\n Factor of Safety: 0.98\n Max Deflection: 8.56e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.0944433351527, + "fos_buckling": 0.9769473906262813, + "fos_yielding": 1.308882470896483, + "deflection": 0.008556385291893003, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_2568", + "improvement_over_parent": null + }, + "node_2570": { + "node_id": "node_2570", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 235.70 kg\n Factor of Safety: 1.23\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.69581894917215, + "fos_buckling": 1.2287504909805969, + "fos_yielding": 1.7013991122745664, + "deflection": 0.006601728389096769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_2569", + "improvement_over_parent": null + }, + "node_2571": { + "node_id": "node_2571", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 264.86 kg\n Factor of Safety: 1.36\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.85656605051946, + "fos_buckling": 1.3552520473404235, + "fos_yielding": 1.9106287794196202, + "deflection": 0.005887955572965931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_2570", + "improvement_over_parent": null + }, + "node_2572": { + "node_id": "node_2572", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.67 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.6664439132352, + "fos_buckling": 1.515063197363745, + "fos_yielding": 2.188660429085459, + "deflection": 0.005150630959043377, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2571", + "improvement_over_parent": null + }, + "node_2573": { + "node_id": "node_2573", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2572", + "improvement_over_parent": null + }, + "node_2574": { + "node_id": "node_2574", + "content": "INITIAL DESIGN (Trace 368)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 165.08 kg\n Factor of Safety: 0.24\n Max Deflection: 9.10e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.0827458023512, + "fos_buckling": 0.24058884621924614, + "fos_yielding": 0.5944283807757674, + "deflection": 9095524062878.564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2575": { + "node_id": "node_2575", + "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 167.38 kg\n Factor of Safety: 0.48\n Max Deflection: 8.47e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.3832535403018, + "fos_buckling": 0.4811776924384923, + "fos_yielding": 1.1888567615515349, + "deflection": 8472749581145.785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.224)" + }, + "parent_node_id": "node_2574", + "improvement_over_parent": null + }, + "node_2576": { + "node_id": "node_2576", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n\nPerformance:\n Mass: 180.56 kg\n Factor of Safety: 0.48\n Max Deflection: 1.07e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.55656401400515, + "fos_buckling": 0.4811776924384923, + "fos_yielding": 1.1888567615515349, + "deflection": 10734886437646.895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003005)" + }, + "parent_node_id": "node_2575", + "improvement_over_parent": null + }, + "node_2577": { + "node_id": "node_2577", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 0.30\n Max Deflection: 2.04e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.01675964200751, + "fos_buckling": 0.2995608572665346, + "fos_yielding": 1.2219295157002221, + "deflection": 20398509508567.61, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_2576", + "improvement_over_parent": null + }, + "node_2578": { + "node_id": "node_2578", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 247.12 kg\n Factor of Safety: 0.46\n Max Deflection: 7.09e+12 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.11803496613885, + "fos_buckling": 0.4588881748215117, + "fos_yielding": 1.188856761551535, + "deflection": 7092923289895.384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2577", + "improvement_over_parent": null + }, + "node_2579": { + "node_id": "node_2579", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 264.24 kg\n Factor of Safety: 0.49\n Max Deflection: 9.63e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.2359901977133, + "fos_buckling": 0.49314487180605815, + "fos_yielding": 1.6762668480312102, + "deflection": 0.00962576419999366, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_2578", + "improvement_over_parent": null + }, + "node_2580": { + "node_id": "node_2580", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 300.62 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.6183876531924, + "fos_buckling": 1.2302938576761369, + "fos_yielding": 2.122103677143661, + "deflection": 0.0052259620118659915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_2579", + "improvement_over_parent": null + }, + "node_2581": { + "node_id": "node_2581", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.42264363233295, + "fos_buckling": 1.5140835746527783, + "fos_yielding": 2.1870109839424843, + "deflection": 0.00515458705388572, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_2580", + "improvement_over_parent": null + }, + "node_2582": { + "node_id": "node_2582", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2581", + "improvement_over_parent": null + }, + "node_2583": { + "node_id": "node_2583", + "content": "INITIAL DESIGN (Trace 369)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 222.78 kg\n Factor of Safety: 0.90\n Max Deflection: 7.30e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.78369209469923, + "fos_buckling": 0.8992692924238188, + "fos_yielding": 1.5503498841158931, + "deflection": 0.007301686337478317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2584": { + "node_id": "node_2584", + "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 223.99 kg\n Factor of Safety: 0.92\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.98933821385575, + "fos_buckling": 0.916558102380726, + "fos_yielding": 1.5372566186168575, + "deflection": 0.007196248284404341, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.416)" + }, + "parent_node_id": "node_2583", + "improvement_over_parent": null + }, + "node_2585": { + "node_id": "node_2585", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 289.73 kg\n Factor of Safety: 1.16\n Max Deflection: 5.59e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 289.7258391909898, + "fos_buckling": 1.1565832857691967, + "fos_yielding": 1.9924851350059156, + "deflection": 0.005585549401431309, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_2584", + "improvement_over_parent": null + }, + "node_2586": { + "node_id": "node_2586", + "content": "MODIFICATION: Increase 10 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.70 kg\n Factor of Safety: 1.41\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.6972200717573, + "fos_buckling": 1.4119701410756842, + "fos_yielding": 2.078062320122212, + "deflection": 0.0051989634884067725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.538)" + }, + "parent_node_id": "node_2585", + "improvement_over_parent": null + }, + "node_2587": { + "node_id": "node_2587", + "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.31 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3140837500136, + "fos_buckling": 1.5136083392481705, + "fos_yielding": 2.18627612259489, + "deflection": 0.005156501962646207, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.225)" + }, + "parent_node_id": "node_2586", + "improvement_over_parent": null + }, + "node_2588": { + "node_id": "node_2588", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2587", + "improvement_over_parent": null + }, + "node_2589": { + "node_id": "node_2589", + "content": "INITIAL DESIGN (Trace 370)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 233.39 kg\n Factor of Safety: 0.82\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.39364192778783, + "fos_buckling": 0.8186830958000976, + "fos_yielding": 1.879768883802531, + "deflection": 0.0074970288306963305, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2590": { + "node_id": "node_2590", + "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 237.61 kg\n Factor of Safety: 0.82\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.60522543739387, + "fos_buckling": 0.8194780003721456, + "fos_yielding": 1.8796565163359849, + "deflection": 0.007499215671674851, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.339)" + }, + "parent_node_id": "node_2589", + "improvement_over_parent": null + }, + "node_2591": { + "node_id": "node_2591", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n\nPerformance:\n Mass: 258.75 kg\n Factor of Safety: 0.79\n Max Deflection: 7.49e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.7519221197588, + "fos_buckling": 0.7907915580085753, + "fos_yielding": 1.877470146720542, + "deflection": 0.007486750040298952, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004206)" + }, + "parent_node_id": "node_2590", + "improvement_over_parent": null + }, + "node_2592": { + "node_id": "node_2592", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n\nPerformance:\n Mass: 262.43 kg\n Factor of Safety: 1.27\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.4334917245803, + "fos_buckling": 1.273031006001437, + "fos_yielding": 1.9006686584325658, + "deflection": 0.005978974989339538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002127)" + }, + "parent_node_id": "node_2591", + "improvement_over_parent": null + }, + "node_2593": { + "node_id": "node_2593", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 302.10 kg\n Factor of Safety: 1.44\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.1022993543838, + "fos_buckling": 1.4448713301911862, + "fos_yielding": 2.1859007038063516, + "deflection": 0.005208811857119386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_2592", + "improvement_over_parent": null + }, + "node_2594": { + "node_id": "node_2594", + "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 302.94 kg\n Factor of Safety: 1.46\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.9396285485517, + "fos_buckling": 1.455770791386713, + "fos_yielding": 2.18957841099893, + "deflection": 0.005204793070603995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.340)" + }, + "parent_node_id": "node_2593", + "improvement_over_parent": null + }, + "node_2595": { + "node_id": "node_2595", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2594", + "improvement_over_parent": null + }, + "node_2596": { + "node_id": "node_2596", + "content": "INITIAL DESIGN (Trace 371)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 145.56 kg\n Factor of Safety: 0.69\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.55758085095465, + "fos_buckling": 0.6922061853476179, + "fos_yielding": 1.281686795449341, + "deflection": 0.01169564462740775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2597": { + "node_id": "node_2597", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 180.97 kg\n Factor of Safety: 0.84\n Max Deflection: 9.43e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.96810751662832, + "fos_buckling": 0.8378033194255922, + "fos_yielding": 1.5919971873996537, + "deflection": 0.009430141069556223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_2596", + "improvement_over_parent": null + }, + "node_2598": { + "node_id": "node_2598", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n\nPerformance:\n Mass: 197.84 kg\n Factor of Safety: 0.84\n Max Deflection: 8.36e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.83595401980668, + "fos_buckling": 0.836221628378854, + "fos_yielding": 1.5686645121746856, + "deflection": 0.008361381694027625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003389)" + }, + "parent_node_id": "node_2597", + "improvement_over_parent": null + }, + "node_2599": { + "node_id": "node_2599", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 244.39 kg\n Factor of Safety: 1.00\n Max Deflection: 6.79e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.3852568150665, + "fos_buckling": 0.9989654656293289, + "fos_yielding": 1.935394546641837, + "deflection": 0.00679452184778349, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_2598", + "improvement_over_parent": null + }, + "node_2600": { + "node_id": "node_2600", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n\nPerformance:\n Mass: 266.22 kg\n Factor of Safety: 1.30\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.21677204176035, + "fos_buckling": 1.3026779900180445, + "fos_yielding": 1.9331039619452761, + "deflection": 0.005850055834982505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004354)" + }, + "parent_node_id": "node_2599", + "improvement_over_parent": null + }, + "node_2601": { + "node_id": "node_2601", + "content": "MODIFICATION: Increase 2 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n\nPerformance:\n Mass: 272.04 kg\n Factor of Safety: 1.39\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.03996517518755, + "fos_buckling": 1.385578864757112, + "fos_yielding": 1.9620900262801961, + "deflection": 0.005735663496384428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.605)" + }, + "parent_node_id": "node_2600", + "improvement_over_parent": null + }, + "node_2602": { + "node_id": "node_2602", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2344772887004, + "fos_buckling": 1.5133525641775702, + "fos_yielding": 2.185527788207648, + "deflection": 0.005157841044053675, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_2601", + "improvement_over_parent": null + }, + "node_2603": { + "node_id": "node_2603", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2602", + "improvement_over_parent": null + }, + "node_2604": { + "node_id": "node_2604", + "content": "INITIAL DESIGN (Trace 372)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 157.92 kg\n Factor of Safety: 0.48\n Max Deflection: 1.37e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.91574643394097, + "fos_buckling": 0.484590622118942, + "fos_yielding": 1.1888567615515349, + "deflection": 13717721391568.254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2605": { + "node_id": "node_2605", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 173.93 kg\n Factor of Safety: 0.33\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.92673866892147, + "fos_buckling": 0.3263750550208132, + "fos_yielding": 0.7540628415666866, + "deflection": 0.01792087228103089, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003206)" + }, + "parent_node_id": "node_2604", + "improvement_over_parent": null + }, + "node_2606": { + "node_id": "node_2606", + "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 178.78 kg\n Factor of Safety: 0.33\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.77587259710424, + "fos_buckling": 0.32625675318080455, + "fos_yielding": 0.7537910152629965, + "deflection": 0.017809417997739514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.431)" + }, + "parent_node_id": "node_2605", + "improvement_over_parent": null + }, + "node_2607": { + "node_id": "node_2607", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 191.21 kg\n Factor of Safety: 0.33\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.20688449679005, + "fos_buckling": 0.3261052420188419, + "fos_yielding": 0.987538786936054, + "deflection": 0.015420092086464918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002825)" + }, + "parent_node_id": "node_2606", + "improvement_over_parent": null + }, + "node_2608": { + "node_id": "node_2608", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n\nPerformance:\n Mass: 209.19 kg\n Factor of Safety: 1.11\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.19227983600913, + "fos_buckling": 1.109010725758822, + "fos_yielding": 1.5109721340892788, + "deflection": 0.007423103603041368, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003649)" + }, + "parent_node_id": "node_2607", + "improvement_over_parent": null + }, + "node_2609": { + "node_id": "node_2609", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n\nPerformance:\n Mass: 263.72 kg\n Factor of Safety: 1.35\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.71693201182, + "fos_buckling": 1.3504673058434802, + "fos_yielding": 1.9024312406020123, + "deflection": 0.005912902867984681, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_2608", + "improvement_over_parent": null + }, + "node_2610": { + "node_id": "node_2610", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 303.09 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.0894072526696, + "fos_buckling": 1.5128210009227334, + "fos_yielding": 2.1845013679702934, + "deflection": 0.005160224513106067, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_2609", + "improvement_over_parent": null + }, + "node_2611": { + "node_id": "node_2611", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2610", + "improvement_over_parent": null + }, + "node_2612": { + "node_id": "node_2612", + "content": "INITIAL DESIGN (Trace 373)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 246.81 kg\n Factor of Safety: 1.05\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.80872014620593, + "fos_buckling": 1.0503915005398559, + "fos_yielding": 1.7444438906595483, + "deflection": 0.006339534820312829, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2613": { + "node_id": "node_2613", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.53 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.52766579887543, + "fos_buckling": 1.2299424380101442, + "fos_yielding": 2.121455335828885, + "deflection": 0.005227509041453618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_2612", + "improvement_over_parent": null + }, + "node_2614": { + "node_id": "node_2614", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n\nPerformance:\n Mass: 302.28 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 302.27793766789813, + "fos_buckling": 1.5125123082813092, + "fos_yielding": 2.1787129017556204, + "deflection": 0.005163971136552793, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001421)" + }, + "parent_node_id": "node_2613", + "improvement_over_parent": null + }, + "node_2615": { + "node_id": "node_2615", + "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0076)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n\nPerformance:\n Mass: 308.22 kg\n Factor of Safety: 1.44\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 308.2219869080253, + "fos_buckling": 1.4356774737605849, + "fos_yielding": 2.482876074430423, + "deflection": 0.005108701387186344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.661)" + }, + "parent_node_id": "node_2614", + "improvement_over_parent": null + }, + "node_2616": { + "node_id": "node_2616", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2615", + "improvement_over_parent": null + }, + "node_2617": { + "node_id": "node_2617", + "content": "INITIAL DESIGN (Trace 374)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 227.52 kg\n Factor of Safety: 1.13\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.5244899968123, + "fos_buckling": 1.1349184905281797, + "fos_yielding": 1.7108420951187173, + "deflection": 0.007062286710321269, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2618": { + "node_id": "node_2618", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 289.30 kg\n Factor of Safety: 1.39\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 289.30462988069297, + "fos_buckling": 1.3928859249363932, + "fos_yielding": 2.1708302420393997, + "deflection": 0.005575846163669344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_2617", + "improvement_over_parent": null + }, + "node_2619": { + "node_id": "node_2619", + "content": "MODIFICATION: Increase 15 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 294.01 kg\n Factor of Safety: 1.44\n Max Deflection: 5.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.01243715007195, + "fos_buckling": 1.438223006609766, + "fos_yielding": 2.1877046888873752, + "deflection": 0.005523146757062267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.245)" + }, + "parent_node_id": "node_2618", + "improvement_over_parent": null + }, + "node_2620": { + "node_id": "node_2620", + "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5950055412243, + "fos_buckling": 1.5145231801224865, + "fos_yielding": 2.188072525595551, + "deflection": 0.005151612772479481, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.656)" + }, + "parent_node_id": "node_2619", + "improvement_over_parent": null + }, + "node_2621": { + "node_id": "node_2621", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2620", + "improvement_over_parent": null + }, + "node_2622": { + "node_id": "node_2622", + "content": "INITIAL DESIGN (Trace 375)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 206.85 kg\n Factor of Safety: 0.64\n Max Deflection: 9.63e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.850368320137, + "fos_buckling": 0.6448237927201692, + "fos_yielding": 1.6768606211862422, + "deflection": 0.009625259331273754, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2623": { + "node_id": "node_2623", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 233.77 kg\n Factor of Safety: 0.72\n Max Deflection: 8.53e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.7704627637162, + "fos_buckling": 0.7213944142684288, + "fos_yielding": 1.8925616446645488, + "deflection": 0.00852565835223224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_2622", + "improvement_over_parent": null + }, + "node_2624": { + "node_id": "node_2624", + "content": "MODIFICATION: Increase 10 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 241.60 kg\n Factor of Safety: 0.72\n Max Deflection: 8.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.596005958568, + "fos_buckling": 0.7248960180992338, + "fos_yielding": 1.8920365809284774, + "deflection": 0.008518436153623854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.639)" + }, + "parent_node_id": "node_2623", + "improvement_over_parent": null + }, + "node_2625": { + "node_id": "node_2625", + "content": "MODIFICATION: Increase 13 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 247.23 kg\n Factor of Safety: 0.72\n Max Deflection: 8.43e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.22565107182473, + "fos_buckling": 0.7235716084055884, + "fos_yielding": 1.8653344786952448, + "deflection": 0.00842749885157137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.610)" + }, + "parent_node_id": "node_2624", + "improvement_over_parent": null + }, + "node_2626": { + "node_id": "node_2626", + "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 257.68 kg\n Factor of Safety: 0.79\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.6791341803933, + "fos_buckling": 0.7879725398849251, + "fos_yielding": 1.87002758171515, + "deflection": 0.007518179943104022, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.538)" + }, + "parent_node_id": "node_2625", + "improvement_over_parent": null + }, + "node_2627": { + "node_id": "node_2627", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.79 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.7898156200218, + "fos_buckling": 0.8892314606827139, + "fos_yielding": 2.15916888925698, + "deflection": 0.006520218261449242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_2626", + "improvement_over_parent": null + }, + "node_2628": { + "node_id": "node_2628", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.364015284998, + "fos_buckling": 1.5130789825701847, + "fos_yielding": 2.1869064118191757, + "deflection": 0.005155735619748409, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2627", + "improvement_over_parent": null + }, + "node_2629": { + "node_id": "node_2629", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2628", + "improvement_over_parent": null + }, + "node_2630": { + "node_id": "node_2630", + "content": "INITIAL DESIGN (Trace 376)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 143.85 kg\n Factor of Safety: 0.50\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.8508662167326, + "fos_buckling": 0.501693443201606, + "fos_yielding": 1.1016034600294293, + "deflection": 0.0109135351048535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2631": { + "node_id": "node_2631", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n\nPerformance:\n Mass: 154.17 kg\n Factor of Safety: 0.85\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.17406817482438, + "fos_buckling": 0.8455821177785111, + "fos_yielding": 1.1150296403360944, + "deflection": 0.010029595777042223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002175)" + }, + "parent_node_id": "node_2630", + "improvement_over_parent": null + }, + "node_2632": { + "node_id": "node_2632", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n\nPerformance:\n Mass: 188.23 kg\n Factor of Safety: 1.01\n Max Deflection: 8.24e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.22938392969866, + "fos_buckling": 1.010964306161965, + "fos_yielding": 1.3602683437475909, + "deflection": 0.00823648818290351, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_2631", + "improvement_over_parent": null + }, + "node_2633": { + "node_id": "node_2633", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n\nPerformance:\n Mass: 209.31 kg\n Factor of Safety: 1.11\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.31289588999158, + "fos_buckling": 1.1095230935681202, + "fos_yielding": 1.5119035636471023, + "deflection": 0.007418815019303075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_2632", + "improvement_over_parent": null + }, + "node_2634": { + "node_id": "node_2634", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n\nPerformance:\n Mass: 269.93 kg\n Factor of Safety: 1.38\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.93217772306116, + "fos_buckling": 1.3767076391709896, + "fos_yielding": 1.9470729343401918, + "deflection": 0.005779432318128444, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_2633", + "improvement_over_parent": null + }, + "node_2635": { + "node_id": "node_2635", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.10 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.09970275063495, + "fos_buckling": 1.5128009861953378, + "fos_yielding": 2.184664950913132, + "deflection": 0.0051600010596125085, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_2634", + "improvement_over_parent": null + }, + "node_2636": { + "node_id": "node_2636", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2635", + "improvement_over_parent": null + }, + "node_2637": { + "node_id": "node_2637", + "content": "INITIAL DESIGN (Trace 377)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 156.96 kg\n Factor of Safety: 0.25\n Max Deflection: 1.32e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.9578584779533, + "fos_buckling": 0.24914603103303232, + "fos_yielding": 0.5944283807757675, + "deflection": 13194513165457.352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2638": { + "node_id": "node_2638", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 175.92 kg\n Factor of Safety: 0.40\n Max Deflection: 8.02e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.91896841046264, + "fos_buckling": 0.3967236907056475, + "fos_yielding": 1.16893792159295, + "deflection": 8016782434113.422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_2637", + "improvement_over_parent": null + }, + "node_2639": { + "node_id": "node_2639", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n\nPerformance:\n Mass: 189.11 kg\n Factor of Safety: 0.06\n Max Deflection: 5.98e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.10836446229547, + "fos_buckling": 0.06162190045440388, + "fos_yielding": 0.14860709519394188, + "deflection": 59836337039657.83, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003328)" + }, + "parent_node_id": "node_2638", + "improvement_over_parent": null + }, + "node_2640": { + "node_id": "node_2640", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 207.00 kg\n Factor of Safety: 0.73\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.99815176452333, + "fos_buckling": 0.7276769770449337, + "fos_yielding": 1.6674971076356795, + "deflection": 0.007801708792696522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003609)" + }, + "parent_node_id": "node_2639", + "improvement_over_parent": null + }, + "node_2641": { + "node_id": "node_2641", + "content": "MODIFICATION: Increase 10 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0059)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 217.04 kg\n Factor of Safety: 0.73\n Max Deflection: 7.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.0436750635759, + "fos_buckling": 0.7271243975416537, + "fos_yielding": 1.667345497406708, + "deflection": 0.007615496098566159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.600)" + }, + "parent_node_id": "node_2640", + "improvement_over_parent": null + }, + "node_2642": { + "node_id": "node_2642", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0079)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 281.57 kg\n Factor of Safety: 0.91\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.56912659523255, + "fos_buckling": 0.9062882708680584, + "fos_yielding": 2.162371650013005, + "deflection": 0.0058844997918830935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_2641", + "improvement_over_parent": null + }, + "node_2643": { + "node_id": "node_2643", + "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0079)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 282.39 kg\n Factor of Safety: 0.91\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.38780559616293, + "fos_buckling": 0.9064003999945207, + "fos_yielding": 2.1715586625371586, + "deflection": 0.005857099714011626, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.332)" + }, + "parent_node_id": "node_2642", + "improvement_over_parent": null + }, + "node_2644": { + "node_id": "node_2644", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0079)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 302.70 kg\n Factor of Safety: 1.19\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.70114047818976, + "fos_buckling": 1.1946417730191232, + "fos_yielding": 2.1898286469723858, + "deflection": 0.005504610322873998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_2643", + "improvement_over_parent": null + }, + "node_2645": { + "node_id": "node_2645", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2644", + "improvement_over_parent": null + }, + "node_2646": { + "node_id": "node_2646", + "content": "INITIAL DESIGN (Trace 378)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n\nPerformance:\n Mass: 217.58 kg\n Factor of Safety: 1.41\n Max Deflection: 1.03e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.5801089515916, + "fos_buckling": 1.4050561910216495, + "fos_yielding": 1.188856761551535, + "deflection": 10268449601489.615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2647": { + "node_id": "node_2647", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n\nPerformance:\n Mass: 245.03 kg\n Factor of Safety: 0.49\n Max Deflection: 9.25e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.03141144374882, + "fos_buckling": 0.4900892899418753, + "fos_yielding": 1.1888567615515349, + "deflection": 9252187115146.234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_2646", + "improvement_over_parent": null + }, + "node_2648": { + "node_id": "node_2648", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 263.06 kg\n Factor of Safety: 0.53\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.06317812897856, + "fos_buckling": 0.533501927405698, + "fos_yielding": 1.8495610306478991, + "deflection": 0.006801234777501152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_2647", + "improvement_over_parent": null + }, + "node_2649": { + "node_id": "node_2649", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 288.85 kg\n Factor of Safety: 1.12\n Max Deflection: 5.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.85380567139254, + "fos_buckling": 1.1222670903131202, + "fos_yielding": 2.1911606992157804, + "deflection": 0.005522130824091087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_2648", + "improvement_over_parent": null + }, + "node_2650": { + "node_id": "node_2650", + "content": "MODIFICATION: Increase 13 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.00 kg\n Factor of Safety: 1.20\n Max Deflection: 5.40e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.0003694022006, + "fos_buckling": 1.198343977009747, + "fos_yielding": 2.186037155819257, + "deflection": 0.005401735948662944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.592)" + }, + "parent_node_id": "node_2649", + "improvement_over_parent": null + }, + "node_2651": { + "node_id": "node_2651", + "content": "MODIFICATION: Increase 7 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.10 kg\n Factor of Safety: 1.57\n Max Deflection: 5.29e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 299.10379923332044, + "fos_buckling": 1.5657684616518748, + "fos_yielding": 2.188206834987947, + "deflection": 0.005290919440931877, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.664)" + }, + "parent_node_id": "node_2650", + "improvement_over_parent": null + }, + "node_2652": { + "node_id": "node_2652", + "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.58 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.58249692590266, + "fos_buckling": 1.5147690540626932, + "fos_yielding": 2.188329902669653, + "deflection": 0.005151647652780366, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.233)" + }, + "parent_node_id": "node_2651", + "improvement_over_parent": null + }, + "node_2653": { + "node_id": "node_2653", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2652", + "improvement_over_parent": null + }, + "node_2654": { + "node_id": "node_2654", + "content": "INITIAL DESIGN (Trace 379)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 274.18 kg\n Factor of Safety: 0.83\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.1841289127747, + "fos_buckling": 0.8315249313530251, + "fos_yielding": 2.1388258202965393, + "deflection": 0.007228009272265165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2655": { + "node_id": "node_2655", + "content": "MODIFICATION: Increase 10 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 282.10 kg\n Factor of Safety: 0.83\n Max Deflection: 7.22e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.1047222565697, + "fos_buckling": 0.8260199031695609, + "fos_yielding": 2.138282519473408, + "deflection": 0.0072236825754365365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.529)" + }, + "parent_node_id": "node_2654", + "improvement_over_parent": null + }, + "node_2656": { + "node_id": "node_2656", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 287.68 kg\n Factor of Safety: 1.22\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.6789219215459, + "fos_buckling": 1.220433911855419, + "fos_yielding": 2.1681320683197236, + "deflection": 0.0055345127810353745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2655", + "improvement_over_parent": null + }, + "node_2657": { + "node_id": "node_2657", + "content": "MODIFICATION: Increase 15 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0042)]\n\nPerformance:\n Mass: 289.01 kg\n Factor of Safety: 1.23\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 289.0149765880464, + "fos_buckling": 1.2333707864025756, + "fos_yielding": 2.1688680443542423, + "deflection": 0.005491849187643176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.271)" + }, + "parent_node_id": "node_2656", + "improvement_over_parent": null + }, + "node_2658": { + "node_id": "node_2658", + "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0059)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0042)]\n\nPerformance:\n Mass: 293.52 kg\n Factor of Safety: 1.26\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.5218499316714, + "fos_buckling": 1.2622855513770728, + "fos_yielding": 2.168685664343603, + "deflection": 0.005435111538142905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.208)" + }, + "parent_node_id": "node_2657", + "improvement_over_parent": null + }, + "node_2659": { + "node_id": "node_2659", + "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0071)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0042)]\n\nPerformance:\n Mass: 298.59 kg\n Factor of Safety: 1.29\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.5893751991311, + "fos_buckling": 1.2886359995441434, + "fos_yielding": 2.1685056619304675, + "deflection": 0.005385844091523804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.203)" + }, + "parent_node_id": "node_2658", + "improvement_over_parent": null + }, + "node_2660": { + "node_id": "node_2660", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2659", + "improvement_over_parent": null + }, + "node_2661": { + "node_id": "node_2661", + "content": "INITIAL DESIGN (Trace 380)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 256.95 kg\n Factor of Safety: 1.14\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.9500394888834, + "fos_buckling": 1.1365954826020912, + "fos_yielding": 1.6137843842571507, + "deflection": 0.006053769510872021, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2662": { + "node_id": "node_2662", + "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 259.45 kg\n Factor of Safety: 1.29\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.4461565957847, + "fos_buckling": 1.2915434306317615, + "fos_yielding": 1.9305254305494453, + "deflection": 0.005972606753287511, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.458)" + }, + "parent_node_id": "node_2661", + "improvement_over_parent": null + }, + "node_2663": { + "node_id": "node_2663", + "content": "MODIFICATION: Increase 11 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 267.56 kg\n Factor of Safety: 1.37\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.56192519192626, + "fos_buckling": 1.36675367855924, + "fos_yielding": 1.930082223005424, + "deflection": 0.005829509116977961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.658)" + }, + "parent_node_id": "node_2662", + "improvement_over_parent": null + }, + "node_2664": { + "node_id": "node_2664", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.35987469736966, + "fos_buckling": 1.5138884826288748, + "fos_yielding": 2.1865295948570016, + "deflection": 0.005155617159052186, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_2663", + "improvement_over_parent": null + }, + "node_2665": { + "node_id": "node_2665", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2664", + "improvement_over_parent": null + }, + "node_2666": { + "node_id": "node_2666", + "content": "INITIAL DESIGN (Trace 381)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 270.09 kg\n Factor of Safety: 0.53\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.0937155374994, + "fos_buckling": 0.5323758538853625, + "fos_yielding": 1.5066006052665681, + "deflection": 0.007683009885533712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2667": { + "node_id": "node_2667", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 287.96 kg\n Factor of Safety: 0.89\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.96031546287827, + "fos_buckling": 0.8872279712928336, + "fos_yielding": 1.7477756442120227, + "deflection": 0.006645882457535238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003396)" + }, + "parent_node_id": "node_2666", + "improvement_over_parent": null + }, + "node_2668": { + "node_id": "node_2668", + "content": "MODIFICATION: Increase 14 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.88 kg\n Factor of Safety: 0.89\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.87717154658355, + "fos_buckling": 0.8911307179038739, + "fos_yielding": 1.772411930296222, + "deflection": 0.0065567725277096735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.486)" + }, + "parent_node_id": "node_2667", + "improvement_over_parent": null + }, + "node_2669": { + "node_id": "node_2669", + "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.83 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.8281300562694, + "fos_buckling": 0.8894049720323634, + "fos_yielding": 2.1580720218247156, + "deflection": 0.006518627500523058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.248)" + }, + "parent_node_id": "node_2668", + "improvement_over_parent": null + }, + "node_2670": { + "node_id": "node_2670", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4023297212456, + "fos_buckling": 1.514072413620237, + "fos_yielding": 2.185783834224223, + "deflection": 0.005154883775250293, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2669", + "improvement_over_parent": null + }, + "node_2671": { + "node_id": "node_2671", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2670", + "improvement_over_parent": null + }, + "node_2672": { + "node_id": "node_2672", + "content": "INITIAL DESIGN (Trace 382)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n\nPerformance:\n Mass: 116.65 kg\n Factor of Safety: 0.50\n Max Deflection: 1.08e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.65159718429656, + "fos_buckling": 0.5023320002812595, + "fos_yielding": 1.1180005212582562, + "deflection": 10797778247866.479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2673": { + "node_id": "node_2673", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 131.82 kg\n Factor of Safety: 0.05\n Max Deflection: 1.02e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.82110387645812, + "fos_buckling": 0.053444166530885906, + "fos_yielding": 0.14860709519394186, + "deflection": 101621555603550.66, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_2672", + "improvement_over_parent": null + }, + "node_2674": { + "node_id": "node_2674", + "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 134.14 kg\n Factor of Safety: 0.34\n Max Deflection: 2.02e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.1425446464688, + "fos_buckling": 0.34458754521956425, + "fos_yielding": 1.0261086767953629, + "deflection": 20173114095007.24, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.208)" + }, + "parent_node_id": "node_2673", + "improvement_over_parent": null + }, + "node_2675": { + "node_id": "node_2675", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 162.92 kg\n Factor of Safety: 0.49\n Max Deflection: 1.08e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.92077956745422, + "fos_buckling": 0.4876950186299755, + "fos_yielding": 1.1888567615515349, + "deflection": 10778480917307.236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_2674", + "improvement_over_parent": null + }, + "node_2676": { + "node_id": "node_2676", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 197.84 kg\n Factor of Safety: 0.71\n Max Deflection: 1.80e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.83562321249383, + "fos_buckling": 0.7146237025040505, + "fos_yielding": 0.5944283807757674, + "deflection": 18036280153626.348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_2675", + "improvement_over_parent": null + }, + "node_2677": { + "node_id": "node_2677", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 250.09 kg\n Factor of Safety: 0.46\n Max Deflection: 9.84e+12 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.09249288621635, + "fos_buckling": 0.45883100734563625, + "fos_yielding": 1.1888567615515349, + "deflection": 9841721215214.738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_2676", + "improvement_over_parent": null + }, + "node_2678": { + "node_id": "node_2678", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 267.21 kg\n Factor of Safety: 0.49\n Max Deflection: 9.48e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.2104481177908, + "fos_buckling": 0.4930360695103438, + "fos_yielding": 1.6772555342817848, + "deflection": 0.00948168494169786, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_2677", + "improvement_over_parent": null + }, + "node_2679": { + "node_id": "node_2679", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.59 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5928455732699, + "fos_buckling": 1.5141780045673887, + "fos_yielding": 2.18849123465079, + "deflection": 0.0051518941441860725, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_2678", + "improvement_over_parent": null + }, + "node_2680": { + "node_id": "node_2680", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2679", + "improvement_over_parent": null + }, + "node_2681": { + "node_id": "node_2681", + "content": "INITIAL DESIGN (Trace 383)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 192.27 kg\n Factor of Safety: 0.67\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.27443377444112, + "fos_buckling": 0.6720582243361926, + "fos_yielding": 1.5204228523356413, + "deflection": 0.008157369811585722, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2682": { + "node_id": "node_2682", + "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 194.23 kg\n Factor of Safety: 0.67\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.23480127538932, + "fos_buckling": 0.6721578511854011, + "fos_yielding": 1.5113085711984742, + "deflection": 0.008105021638630788, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.299)" + }, + "parent_node_id": "node_2681", + "improvement_over_parent": null + }, + "node_2683": { + "node_id": "node_2683", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 218.88 kg\n Factor of Safety: 0.75\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.87593123553265, + "fos_buckling": 0.7455958672836852, + "fos_yielding": 1.7018765625686723, + "deflection": 0.0072045136897803605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_2682", + "improvement_over_parent": null + }, + "node_2684": { + "node_id": "node_2684", + "content": "MODIFICATION: Increase 11 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 222.39 kg\n Factor of Safety: 0.75\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.390758434234, + "fos_buckling": 0.7453977873773019, + "fos_yielding": 1.7018198113563783, + "deflection": 0.007138103735778625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.239)" + }, + "parent_node_id": "node_2683", + "improvement_over_parent": null + }, + "node_2685": { + "node_id": "node_2685", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.57 kg\n Factor of Safety: 0.91\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.5690099158695, + "fos_buckling": 0.9059207331180078, + "fos_yielding": 2.144213643665927, + "deflection": 0.005679399911769097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_2684", + "improvement_over_parent": null + }, + "node_2686": { + "node_id": "node_2686", + "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 282.25 kg\n Factor of Safety: 0.91\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.2481048774022, + "fos_buckling": 0.9056909621392029, + "fos_yielding": 2.1441454876083257, + "deflection": 0.005650607535113939, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.473)" + }, + "parent_node_id": "node_2685", + "improvement_over_parent": null + }, + "node_2687": { + "node_id": "node_2687", + "content": "MODIFICATION: Increase 8 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.13 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.1285746501412, + "fos_buckling": 0.905811432986701, + "fos_yielding": 2.1612505695147894, + "deflection": 0.005598722622720805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.502)" + }, + "parent_node_id": "node_2686", + "improvement_over_parent": null + }, + "node_2688": { + "node_id": "node_2688", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.44 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.44190953216804, + "fos_buckling": 1.514160330477833, + "fos_yielding": 2.1871119007631585, + "deflection": 0.005154332149510781, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_2687", + "improvement_over_parent": null + }, + "node_2689": { + "node_id": "node_2689", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2688", + "improvement_over_parent": null + }, + "node_2690": { + "node_id": "node_2690", + "content": "INITIAL DESIGN (Trace 384)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 229.72 kg\n Factor of Safety: 0.98\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.7197136075051, + "fos_buckling": 0.9770033114116754, + "fos_yielding": 1.8965510260829248, + "deflection": 0.007061601903577706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2691": { + "node_id": "node_2691", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 263.55 kg\n Factor of Safety: 1.09\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.55216292528877, + "fos_buckling": 1.0922750099232938, + "fos_yielding": 2.172887268506566, + "deflection": 0.006172842267375291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2690", + "improvement_over_parent": null + }, + "node_2692": { + "node_id": "node_2692", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 287.89 kg\n Factor of Safety: 1.22\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.89329093066567, + "fos_buckling": 1.224486713425057, + "fos_yielding": 2.170528683822103, + "deflection": 0.005334204472858423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_2691", + "improvement_over_parent": null + }, + "node_2693": { + "node_id": "node_2693", + "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 290.83 kg\n Factor of Safety: 1.35\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.82788418241284, + "fos_buckling": 1.3470246212591175, + "fos_yielding": 2.1686533090586786, + "deflection": 0.005287527580882262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.198)" + }, + "parent_node_id": "node_2692", + "improvement_over_parent": null + }, + "node_2694": { + "node_id": "node_2694", + "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 298.60 kg\n Factor of Safety: 1.34\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.5962701689433, + "fos_buckling": 1.3389935894130431, + "fos_yielding": 2.1495018683469373, + "deflection": 0.005243169546405716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.499)" + }, + "parent_node_id": "node_2693", + "improvement_over_parent": null + }, + "node_2695": { + "node_id": "node_2695", + "content": "MODIFICATION: Increase 15 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0062)]\n\nPerformance:\n Mass: 304.28 kg\n Factor of Safety: 1.33\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 304.2839702531331, + "fos_buckling": 1.3338618896658063, + "fos_yielding": 2.149264652242849, + "deflection": 0.005194866730632958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.264)" + }, + "parent_node_id": "node_2694", + "improvement_over_parent": null + }, + "node_2696": { + "node_id": "node_2696", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2695", + "improvement_over_parent": null + }, + "node_2697": { + "node_id": "node_2697", + "content": "INITIAL DESIGN (Trace 385)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0017)]\n\nPerformance:\n Mass: 145.10 kg\n Factor of Safety: 0.69\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.09712507581654, + "fos_buckling": 0.6854178440983488, + "fos_yielding": 1.0907482316268016, + "deflection": 0.01050404551570314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2698": { + "node_id": "node_2698", + "content": "MODIFICATION: Increase 15 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 149.00 kg\n Factor of Safety: 0.80\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.99622743620444, + "fos_buckling": 0.8018750618114906, + "fos_yielding": 1.106308861797801, + "deflection": 0.010310616428550426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.447)" + }, + "parent_node_id": "node_2697", + "improvement_over_parent": null + }, + "node_2699": { + "node_id": "node_2699", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 171.00 kg\n Factor of Safety: 0.91\n Max Deflection: 9.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.99711624365392, + "fos_buckling": 0.9077773359723581, + "fos_yielding": 1.2688604543709376, + "deflection": 0.008999406029133045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_2698", + "improvement_over_parent": null + }, + "node_2700": { + "node_id": "node_2700", + "content": "MODIFICATION: Increase 11 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 175.49 kg\n Factor of Safety: 0.95\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.49429176703381, + "fos_buckling": 0.9500306185315711, + "fos_yielding": 1.2686483940100068, + "deflection": 0.008825399218110555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.493)" + }, + "parent_node_id": "node_2699", + "improvement_over_parent": null + }, + "node_2701": { + "node_id": "node_2701", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 219.30 kg\n Factor of Safety: 1.16\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.30474727395438, + "fos_buckling": 1.155230506674618, + "fos_yielding": 1.5837682506666084, + "deflection": 0.007086084281193242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_2700", + "improvement_over_parent": null + }, + "node_2702": { + "node_id": "node_2702", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 273.04 kg\n Factor of Safety: 1.39\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.0382557359094, + "fos_buckling": 1.3897722981201055, + "fos_yielding": 1.969402780830996, + "deflection": 0.005714933794501945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_2701", + "improvement_over_parent": null + }, + "node_2703": { + "node_id": "node_2703", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.84 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.8425771458875, + "fos_buckling": 1.5157858845945018, + "fos_yielding": 2.1900531867236523, + "deflection": 0.005147583952409105, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_2702", + "improvement_over_parent": null + }, + "node_2704": { + "node_id": "node_2704", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2703", + "improvement_over_parent": null + }, + "node_2705": { + "node_id": "node_2705", + "content": "INITIAL DESIGN (Trace 386)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2706": { + "node_id": "node_2706", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n\nPerformance:\n Mass: 204.85 kg\n Factor of Safety: 0.71\n Max Deflection: 7.89e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.8456060972786, + "fos_buckling": 0.7149988368598682, + "fos_yielding": 1.1649467014937753, + "deflection": 0.007891303766617341, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003016)" + }, + "parent_node_id": "node_2705", + "improvement_over_parent": null + }, + "node_2707": { + "node_id": "node_2707", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 229.82 kg\n Factor of Safety: 0.79\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.81962417080302, + "fos_buckling": 0.7901363444107676, + "fos_yielding": 1.310429880102895, + "deflection": 0.007048328150020365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_2706", + "improvement_over_parent": null + }, + "node_2708": { + "node_id": "node_2708", + "content": "MODIFICATION: Increase 14 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0041)]\n\nPerformance:\n Mass: 232.61 kg\n Factor of Safety: 0.79\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.60784092171144, + "fos_buckling": 0.7898134873311742, + "fos_yielding": 1.3101935558433608, + "deflection": 0.007049620823704842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.206)" + }, + "parent_node_id": "node_2707", + "improvement_over_parent": null + }, + "node_2709": { + "node_id": "node_2709", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0041)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 243.04 kg\n Factor of Safety: 0.95\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.03892493865646, + "fos_buckling": 0.945795760753261, + "fos_yielding": 1.2025573174421018, + "deflection": 0.0065177421751935714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003072)" + }, + "parent_node_id": "node_2708", + "improvement_over_parent": null + }, + "node_2710": { + "node_id": "node_2710", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 295.78 kg\n Factor of Safety: 1.13\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.7835261075347, + "fos_buckling": 1.1341333809498702, + "fos_yielding": 1.4705716253006809, + "deflection": 0.005374051778175008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_2709", + "improvement_over_parent": null + }, + "node_2711": { + "node_id": "node_2711", + "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0092)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 312.71 kg\n Factor of Safety: 1.14\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 312.71410686781377, + "fos_buckling": 1.1431443215450323, + "fos_yielding": 1.4706302820143087, + "deflection": 0.005072534583890375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.541)" + }, + "parent_node_id": "node_2710", + "improvement_over_parent": null + }, + "node_2712": { + "node_id": "node_2712", + "content": "MODIFICATION: Increase 6 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0054)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0092)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 315.74 kg\n Factor of Safety: 1.14\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 315.7375031091991, + "fos_buckling": 1.1436943716379107, + "fos_yielding": 1.471337909483532, + "deflection": 0.005023023087021114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.637)" + }, + "parent_node_id": "node_2711", + "improvement_over_parent": null + }, + "node_2713": { + "node_id": "node_2713", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2712", + "improvement_over_parent": null + }, + "node_2714": { + "node_id": "node_2714", + "content": "INITIAL DESIGN (Trace 387)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 231.36 kg\n Factor of Safety: 0.10\n Max Deflection: 2.46e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.36185357331857, + "fos_buckling": 0.10086484479492036, + "fos_yielding": 0.5916158927343997, + "deflection": 24630344020729.234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2715": { + "node_id": "node_2715", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 267.74 kg\n Factor of Safety: 1.09\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.7442510287977, + "fos_buckling": 1.0915273912218402, + "fos_yielding": 2.1456072855628485, + "deflection": 0.006247702774984886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_2714", + "improvement_over_parent": null + }, + "node_2716": { + "node_id": "node_2716", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 270.55 kg\n Factor of Safety: 1.09\n Max Deflection: 6.18e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.5485070079382, + "fos_buckling": 1.091300320175567, + "fos_yielding": 2.195967589588934, + "deflection": 0.006183934703012958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_2715", + "improvement_over_parent": null + }, + "node_2717": { + "node_id": "node_2717", + "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 272.32 kg\n Factor of Safety: 1.09\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.3181133406716, + "fos_buckling": 1.0912286939751794, + "fos_yielding": 2.190281362872149, + "deflection": 0.006170121110301874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.178)" + }, + "parent_node_id": "node_2716", + "improvement_over_parent": null + }, + "node_2718": { + "node_id": "node_2718", + "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 273.73 kg\n Factor of Safety: 1.09\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.73432014024655, + "fos_buckling": 1.0912286939751794, + "fos_yielding": 2.190281362872149, + "deflection": 0.006170121110301874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.192)" + }, + "parent_node_id": "node_2717", + "improvement_over_parent": null + }, + "node_2719": { + "node_id": "node_2719", + "content": "MODIFICATION: Increase 13 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0098)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 293.46 kg\n Factor of Safety: 1.52\n Max Deflection: 5.55e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4606447943122, + "fos_buckling": 1.5161129336969397, + "fos_yielding": 2.1899441235211414, + "deflection": 0.0055524572444660735, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.637)" + }, + "parent_node_id": "node_2718", + "improvement_over_parent": null + }, + "node_2720": { + "node_id": "node_2720", + "content": "MODIFICATION: Increase 2 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0098)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 299.40 kg\n Factor of Safety: 1.47\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.402559553142, + "fos_buckling": 1.4703629964964693, + "fos_yielding": 2.21724081670137, + "deflection": 0.005443654180558435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.534)" + }, + "parent_node_id": "node_2719", + "improvement_over_parent": null + }, + "node_2721": { + "node_id": "node_2721", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0098)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 316.52 kg\n Factor of Safety: 1.47\n Max Deflection: 4.90e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 316.52051478471645, + "fos_buckling": 1.4744632954793502, + "fos_yielding": 2.215248189216435, + "deflection": 0.004898504020014779, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_2720", + "improvement_over_parent": null + }, + "node_2722": { + "node_id": "node_2722", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2721", + "improvement_over_parent": null + }, + "node_2723": { + "node_id": "node_2723", + "content": "INITIAL DESIGN (Trace 388)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 131.24 kg\n Factor of Safety: 0.62\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.23984935694668, + "fos_buckling": 0.617001032761383, + "fos_yielding": 1.0938161333088376, + "deflection": 0.012597920106429397, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2724": { + "node_id": "node_2724", + "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 135.64 kg\n Factor of Safety: 0.62\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.6430827199502, + "fos_buckling": 0.6172483191332069, + "fos_yielding": 1.09368124912287, + "deflection": 0.012266249963016262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.513)" + }, + "parent_node_id": "node_2723", + "improvement_over_parent": null + }, + "node_2725": { + "node_id": "node_2725", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 159.67 kg\n Factor of Safety: 0.72\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.672791104104, + "fos_buckling": 0.7163124408801429, + "fos_yielding": 1.286620081979921, + "deflection": 0.010436410615566254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_2724", + "improvement_over_parent": null + }, + "node_2726": { + "node_id": "node_2726", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 192.45 kg\n Factor of Safety: 0.84\n Max Deflection: 8.68e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.4499335391847, + "fos_buckling": 0.8445333511322172, + "fos_yielding": 1.5493956799416368, + "deflection": 0.00867722469792846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_2725", + "improvement_over_parent": null + }, + "node_2727": { + "node_id": "node_2727", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 208.60 kg\n Factor of Safety: 1.09\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.60181599329923, + "fos_buckling": 1.0944982052310792, + "fos_yielding": 1.523198173101, + "deflection": 0.007428061675329623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003236)" + }, + "parent_node_id": "node_2726", + "improvement_over_parent": null + }, + "node_2728": { + "node_id": "node_2728", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 259.56 kg\n Factor of Safety: 1.32\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.56359329947657, + "fos_buckling": 1.3183033074808244, + "fos_yielding": 1.892808014383432, + "deflection": 0.005993071285937538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_2727", + "improvement_over_parent": null + }, + "node_2729": { + "node_id": "node_2729", + "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 262.36 kg\n Factor of Safety: 1.34\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.3629376505503, + "fos_buckling": 1.3446767326395543, + "fos_yielding": 1.892656247839986, + "deflection": 0.0059430124187123306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.252)" + }, + "parent_node_id": "node_2728", + "improvement_over_parent": null + }, + "node_2730": { + "node_id": "node_2730", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.21 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2051902252409, + "fos_buckling": 1.5132528692271088, + "fos_yielding": 2.1852553468967097, + "deflection": 0.005158477797748098, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_2729", + "improvement_over_parent": null + }, + "node_2731": { + "node_id": "node_2731", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2730", + "improvement_over_parent": null + }, + "node_2732": { + "node_id": "node_2732", + "content": "INITIAL DESIGN (Trace 389)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 206.25 kg\n Factor of Safety: 0.94\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.24862290896803, + "fos_buckling": 0.9423114301516793, + "fos_yielding": 1.1853775267247868, + "deflection": 0.007530540430646644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2733": { + "node_id": "node_2733", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 262.50 kg\n Factor of Safety: 1.17\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.50195505729636, + "fos_buckling": 1.1726483495806477, + "fos_yielding": 1.5126532918039008, + "deflection": 0.005942062621646271, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_2732", + "improvement_over_parent": null + }, + "node_2734": { + "node_id": "node_2734", + "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 264.47 kg\n Factor of Safety: 1.35\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.47476274081566, + "fos_buckling": 1.3536421655937516, + "fos_yielding": 1.907949010573026, + "deflection": 0.005896213955494013, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.294)" + }, + "parent_node_id": "node_2733", + "improvement_over_parent": null + }, + "node_2735": { + "node_id": "node_2735", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.24 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2351344934318, + "fos_buckling": 1.5133519412042178, + "fos_yielding": 2.18563899742849, + "deflection": 0.005157727743040514, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2734", + "improvement_over_parent": null + }, + "node_2736": { + "node_id": "node_2736", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2735", + "improvement_over_parent": null + }, + "node_2737": { + "node_id": "node_2737", + "content": "INITIAL DESIGN (Trace 390)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 227.87 kg\n Factor of Safety: 0.41\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.87015855400256, + "fos_buckling": 0.41210724021088724, + "fos_yielding": 1.21528585018071, + "deflection": 0.0157201648912288, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2738": { + "node_id": "node_2738", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 251.22 kg\n Factor of Safety: 0.45\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.21795301378185, + "fos_buckling": 0.4459131199682488, + "fos_yielding": 1.341872871873398, + "deflection": 0.014304351340564063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_2737", + "improvement_over_parent": null + }, + "node_2739": { + "node_id": "node_2739", + "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 254.78 kg\n Factor of Safety: 0.45\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.78255546203061, + "fos_buckling": 0.44591311996824895, + "fos_yielding": 1.380048836708144, + "deflection": 0.013440906598457538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.656)" + }, + "parent_node_id": "node_2738", + "improvement_over_parent": null + }, + "node_2740": { + "node_id": "node_2740", + "content": "MODIFICATION: Increase 12 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 260.15 kg\n Factor of Safety: 0.45\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.1520990838783, + "fos_buckling": 0.4458240989368902, + "fos_yielding": 1.4430889922372996, + "deflection": 0.013298111844394148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.600)" + }, + "parent_node_id": "node_2739", + "improvement_over_parent": null + }, + "node_2741": { + "node_id": "node_2741", + "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 263.19 kg\n Factor of Safety: 0.45\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.18525985473065, + "fos_buckling": 0.4457738282298489, + "fos_yielding": 1.467638304426361, + "deflection": 0.013247022615920593, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.222)" + }, + "parent_node_id": "node_2740", + "improvement_over_parent": null + }, + "node_2742": { + "node_id": "node_2742", + "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 271.78 kg\n Factor of Safety: 0.45\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 271.7832079160401, + "fos_buckling": 0.4456313899846913, + "fos_yielding": 1.422076085675427, + "deflection": 0.01319494973764708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.548)" + }, + "parent_node_id": "node_2741", + "improvement_over_parent": null + }, + "node_2743": { + "node_id": "node_2743", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 297.87 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.87100019881626, + "fos_buckling": 0.8894152632730608, + "fos_yielding": 2.1592804856139156, + "deflection": 0.006518136887843298, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_2742", + "improvement_over_parent": null + }, + "node_2744": { + "node_id": "node_2744", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4451998637925, + "fos_buckling": 1.5141373002539695, + "fos_yielding": 2.187016212149509, + "deflection": 0.005154369703824556, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2743", + "improvement_over_parent": null + }, + "node_2745": { + "node_id": "node_2745", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2744", + "improvement_over_parent": null + }, + "node_2746": { + "node_id": "node_2746", + "content": "INITIAL DESIGN (Trace 391)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 231.95 kg\n Factor of Safety: 1.13\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.95009308937063, + "fos_buckling": 1.1258733799897551, + "fos_yielding": 1.7015267173253334, + "deflection": 0.0066732801946969185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2747": { + "node_id": "node_2747", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 257.71 kg\n Factor of Safety: 1.24\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.7065510554696, + "fos_buckling": 1.237223824640594, + "fos_yielding": 1.88913647122301, + "deflection": 0.0060180695062801055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_2746", + "improvement_over_parent": null + }, + "node_2748": { + "node_id": "node_2748", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 298.82 kg\n Factor of Safety: 1.41\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.8180266316331, + "fos_buckling": 1.409195850786728, + "fos_yielding": 2.188024828980428, + "deflection": 0.0052062950341809295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_2747", + "improvement_over_parent": null + }, + "node_2749": { + "node_id": "node_2749", + "content": "MODIFICATION: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2340586576936, + "fos_buckling": 1.5133612208503175, + "fos_yielding": 2.1856696917706135, + "deflection": 0.005157718233131777, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.258)" + }, + "parent_node_id": "node_2748", + "improvement_over_parent": null + }, + "node_2750": { + "node_id": "node_2750", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2749", + "improvement_over_parent": null + }, + "node_2751": { + "node_id": "node_2751", + "content": "INITIAL DESIGN (Trace 392)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 244.80 kg\n Factor of Safety: 1.07\n Max Deflection: 6.41e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.80133482105853, + "fos_buckling": 1.0675608141160118, + "fos_yielding": 1.7997313078645376, + "deflection": 0.00640618730218884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2752": { + "node_id": "node_2752", + "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 246.35 kg\n Factor of Safety: 1.22\n Max Deflection: 6.29e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.35065564895436, + "fos_buckling": 1.2155389316240073, + "fos_yielding": 1.8011619074132186, + "deflection": 0.006294406834216727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.550)" + }, + "parent_node_id": "node_2751", + "improvement_over_parent": null + }, + "node_2753": { + "node_id": "node_2753", + "content": "MODIFICATION: Increase 13 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 249.37 kg\n Factor of Safety: 1.29\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.36530320420968, + "fos_buckling": 1.2887478856270078, + "fos_yielding": 1.7996212736970802, + "deflection": 0.006246277330934944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.202)" + }, + "parent_node_id": "node_2752", + "improvement_over_parent": null + }, + "node_2754": { + "node_id": "node_2754", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4116391624869, + "fos_buckling": 1.5140548574752422, + "fos_yielding": 2.1869662152998335, + "deflection": 0.005154795390577553, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_2753", + "improvement_over_parent": null + }, + "node_2755": { + "node_id": "node_2755", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2754", + "improvement_over_parent": null + }, + "node_2756": { + "node_id": "node_2756", + "content": "INITIAL DESIGN (Trace 393)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 199.86 kg\n Factor of Safety: 0.79\n Max Deflection: 7.81e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.85963243383776, + "fos_buckling": 0.789866124050775, + "fos_yielding": 0.9786159180304617, + "deflection": 0.0078113271000946295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2757": { + "node_id": "node_2757", + "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 200.96 kg\n Factor of Safety: 0.79\n Max Deflection: 7.71e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.95991386975334, + "fos_buckling": 0.7903525918483068, + "fos_yielding": 0.9792186342576524, + "deflection": 0.007708199057442047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.431)" + }, + "parent_node_id": "node_2756", + "improvement_over_parent": null + }, + "node_2758": { + "node_id": "node_2758", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 229.31 kg\n Factor of Safety: 0.89\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.31341280231834, + "fos_buckling": 0.8945183248228341, + "fos_yielding": 1.1200761099013914, + "deflection": 0.00676959799594662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_2757", + "improvement_over_parent": null + }, + "node_2759": { + "node_id": "node_2759", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 294.44 kg\n Factor of Safety: 1.13\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.44074226552135, + "fos_buckling": 1.1268286603426594, + "fos_yielding": 1.4467738854376264, + "deflection": 0.005298111217961221, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_2758", + "improvement_over_parent": null + }, + "node_2760": { + "node_id": "node_2760", + "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 298.06 kg\n Factor of Safety: 1.36\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.0644983116014, + "fos_buckling": 1.355636688086326, + "fos_yielding": 2.1665790582284328, + "deflection": 0.005215883789823118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.570)" + }, + "parent_node_id": "node_2759", + "improvement_over_parent": null + }, + "node_2761": { + "node_id": "node_2761", + "content": "MODIFICATION: Increase 15 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.60243512275423, + "fos_buckling": 1.5148486825492198, + "fos_yielding": 2.187064802634803, + "deflection": 0.005151607302948061, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.300)" + }, + "parent_node_id": "node_2760", + "improvement_over_parent": null + }, + "node_2762": { + "node_id": "node_2762", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2761", + "improvement_over_parent": null + }, + "node_2763": { + "node_id": "node_2763", + "content": "INITIAL DESIGN (Trace 394)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 289.11 kg\n Factor of Safety: 0.68\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 289.11318557324057, + "fos_buckling": 0.6811463768380864, + "fos_yielding": 1.9444938744556763, + "deflection": 0.007843364073920538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2764": { + "node_id": "node_2764", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.05 kg\n Factor of Safety: 0.71\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.054271109285, + "fos_buckling": 0.7108318764630408, + "fos_yielding": 1.959836972968262, + "deflection": 0.0073334741518833145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.332)" + }, + "parent_node_id": "node_2763", + "improvement_over_parent": null + }, + "node_2765": { + "node_id": "node_2765", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 300.63 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.62847077426125, + "fos_buckling": 1.23022209805236, + "fos_yielding": 2.1220430082072315, + "deflection": 0.005225624472484352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2764", + "improvement_over_parent": null + }, + "node_2766": { + "node_id": "node_2766", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.43272675340177, + "fos_buckling": 1.5139092880160372, + "fos_yielding": 2.1869391022623343, + "deflection": 0.0051542741187151145, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_2765", + "improvement_over_parent": null + }, + "node_2767": { + "node_id": "node_2767", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2766", + "improvement_over_parent": null + }, + "node_2768": { + "node_id": "node_2768", + "content": "INITIAL DESIGN (Trace 395)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 168.75 kg\n Factor of Safety: 0.57\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.75353121805148, + "fos_buckling": 0.5718287763850807, + "fos_yielding": 1.5219166712201555, + "deflection": 0.010419764297432039, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2769": { + "node_id": "node_2769", + "content": "MODIFICATION: Increase 10 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 173.32 kg\n Factor of Safety: 0.57\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.31791972687193, + "fos_buckling": 0.57163354083092, + "fos_yielding": 1.5213970537105745, + "deflection": 0.010329984621022798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.403)" + }, + "parent_node_id": "node_2768", + "improvement_over_parent": null + }, + "node_2770": { + "node_id": "node_2770", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 189.13 kg\n Factor of Safety: 0.79\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.13138742972808, + "fos_buckling": 0.7856249459115172, + "fos_yielding": 1.6316143696727352, + "deflection": 0.008740472850410333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003164)" + }, + "parent_node_id": "node_2769", + "improvement_over_parent": null + }, + "node_2771": { + "node_id": "node_2771", + "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 195.13 kg\n Factor of Safety: 0.78\n Max Deflection: 8.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.13252304247797, + "fos_buckling": 0.7845826042644298, + "fos_yielding": 1.631614369672735, + "deflection": 0.008215711939314287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.541)" + }, + "parent_node_id": "node_2770", + "improvement_over_parent": null + }, + "node_2772": { + "node_id": "node_2772", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 226.07 kg\n Factor of Safety: 0.89\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.07136249587916, + "fos_buckling": 0.8883699630506158, + "fos_yielding": 1.8897099323827007, + "deflection": 0.007110201872049919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_2771", + "improvement_over_parent": null + }, + "node_2773": { + "node_id": "node_2773", + "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 229.32 kg\n Factor of Safety: 0.89\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.31650603441676, + "fos_buckling": 0.8881584599810284, + "fos_yielding": 1.8897099323827007, + "deflection": 0.007038165889628504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.339)" + }, + "parent_node_id": "node_2772", + "improvement_over_parent": null + }, + "node_2774": { + "node_id": "node_2774", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n\nPerformance:\n Mass: 239.32 kg\n Factor of Safety: 1.24\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.3240009496322, + "fos_buckling": 1.2448345217146346, + "fos_yielding": 1.7273410017307589, + "deflection": 0.006503437175702974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002938)" + }, + "parent_node_id": "node_2773", + "improvement_over_parent": null + }, + "node_2775": { + "node_id": "node_2775", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41815311010487, + "fos_buckling": 1.5141289208777857, + "fos_yielding": 2.1867536367648874, + "deflection": 0.0051547415167342596, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2774", + "improvement_over_parent": null + }, + "node_2776": { + "node_id": "node_2776", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2775", + "improvement_over_parent": null + }, + "node_2777": { + "node_id": "node_2777", + "content": "INITIAL DESIGN (Trace 396)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 207.74 kg\n Factor of Safety: 0.06\n Max Deflection: 9.80e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.73832072400057, + "fos_buckling": 0.05739520547662868, + "fos_yielding": 0.14860709519394186, + "deflection": 97959201329941.81, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2778": { + "node_id": "node_2778", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 233.83 kg\n Factor of Safety: 0.43\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.82611300677672, + "fos_buckling": 0.42519176606943093, + "fos_yielding": 1.8100193035671748, + "deflection": 0.013972465217579293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_2777", + "improvement_over_parent": null + }, + "node_2779": { + "node_id": "node_2779", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 238.52 kg\n Factor of Safety: 0.43\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.51890630137035, + "fos_buckling": 0.4250432917268529, + "fos_yielding": 1.8507953060144333, + "deflection": 0.013258555718577888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.247)" + }, + "parent_node_id": "node_2778", + "improvement_over_parent": null + }, + "node_2780": { + "node_id": "node_2780", + "content": "MODIFICATION: Increase 1 thickness by 67%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 248.83 kg\n Factor of Safety: 0.43\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.829909516323, + "fos_buckling": 0.4250432917268529, + "fos_yielding": 1.8498422996536448, + "deflection": 0.013055623005142108, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.667)" + }, + "parent_node_id": "node_2779", + "improvement_over_parent": null + }, + "node_2781": { + "node_id": "node_2781", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 272.05 kg\n Factor of Safety: 0.53\n Max Deflection: 7.59e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.053429897471, + "fos_buckling": 0.5323745392549769, + "fos_yielding": 1.8476994294497284, + "deflection": 0.007587988529907878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_2780", + "improvement_over_parent": null + }, + "node_2782": { + "node_id": "node_2782", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 277.63 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.6276295624472, + "fos_buckling": 0.531941900927664, + "fos_yielding": 1.8473569967751589, + "deflection": 0.006703358443794, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2781", + "improvement_over_parent": null + }, + "node_2783": { + "node_id": "node_2783", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4182571048612, + "fos_buckling": 1.5141934313746226, + "fos_yielding": 2.186930967564917, + "deflection": 0.005154557681932558, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_2782", + "improvement_over_parent": null + }, + "node_2784": { + "node_id": "node_2784", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2783", + "improvement_over_parent": null + }, + "node_2785": { + "node_id": "node_2785", + "content": "INITIAL DESIGN (Trace 397)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 193.81 kg\n Factor of Safety: 0.93\n Max Deflection: 6.07e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.80974318865978, + "fos_buckling": 0.9291578554302631, + "fos_yielding": 1.777188964205126, + "deflection": 6067094172117.492, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2786": { + "node_id": "node_2786", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 230.19 kg\n Factor of Safety: 0.46\n Max Deflection: 8.98e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.19214064413893, + "fos_buckling": 0.4588901713465216, + "fos_yielding": 1.188856761551535, + "deflection": 8984817607976.262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_2785", + "improvement_over_parent": null + }, + "node_2787": { + "node_id": "node_2787", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 256.28 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.2799329269151, + "fos_buckling": 0.5344784623913833, + "fos_yielding": 1.8493585745299619, + "deflection": 0.006696840756560145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_2786", + "improvement_over_parent": null + }, + "node_2788": { + "node_id": "node_2788", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 282.07 kg\n Factor of Safety: 0.91\n Max Deflection: 5.66e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.07056046932905, + "fos_buckling": 0.905604162143978, + "fos_yielding": 2.13958291691112, + "deflection": 0.005664531766362425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_2787", + "improvement_over_parent": null + }, + "node_2789": { + "node_id": "node_2789", + "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0075)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 287.83 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.83156905934806, + "fos_buckling": 0.9056041621439784, + "fos_yielding": 2.4575115222874193, + "deflection": 0.005600585556654265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.639)" + }, + "parent_node_id": "node_2788", + "improvement_over_parent": null + }, + "node_2790": { + "node_id": "node_2790", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0075)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 308.14 kg\n Factor of Safety: 1.44\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 308.1449039413749, + "fos_buckling": 1.4401602306283083, + "fos_yielding": 2.483558338795777, + "deflection": 0.0051081836014200315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_2789", + "improvement_over_parent": null + }, + "node_2791": { + "node_id": "node_2791", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2790", + "improvement_over_parent": null + }, + "node_2792": { + "node_id": "node_2792", + "content": "INITIAL DESIGN (Trace 398)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 195.87 kg\n Factor of Safety: 0.01\n Max Deflection: 2.31e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.8661832254945, + "fos_buckling": 0.013237799189434454, + "fos_yielding": 0.05751821179362219, + "deflection": 230677444503796.12, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2793": { + "node_id": "node_2793", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n\nPerformance:\n Mass: 227.04 kg\n Factor of Safety: 0.47\n Max Deflection: 8.48e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.0447081739095, + "fos_buckling": 0.47363194047524376, + "fos_yielding": 1.8610354008088124, + "deflection": 8484589862570.366, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005067)" + }, + "parent_node_id": "node_2792", + "improvement_over_parent": null + }, + "node_2794": { + "node_id": "node_2794", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 264.87 kg\n Factor of Safety: 0.72\n Max Deflection: 6.86e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.87013561273875, + "fos_buckling": 0.7239043087417295, + "fos_yielding": 2.317079058661768, + "deflection": 6861719011427.1875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_2793", + "improvement_over_parent": null + }, + "node_2795": { + "node_id": "node_2795", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 277.56 kg\n Factor of Safety: 0.53\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.55850687122734, + "fos_buckling": 0.5318768856743843, + "fos_yielding": 1.8469016007030978, + "deflection": 0.0067052391428379715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_2794", + "improvement_over_parent": null + }, + "node_2796": { + "node_id": "node_2796", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3491344136413, + "fos_buckling": 1.5137758573315618, + "fos_yielding": 2.1864098568158923, + "deflection": 0.0051558829577653936, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_2795", + "improvement_over_parent": null + }, + "node_2797": { + "node_id": "node_2797", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2796", + "improvement_over_parent": null + }, + "node_2798": { + "node_id": "node_2798", + "content": "INITIAL DESIGN (Trace 399)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2799": { + "node_id": "node_2799", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n\nPerformance:\n Mass: 214.60 kg\n Factor of Safety: 0.28\n Max Deflection: 1.47e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.60250237644073, + "fos_buckling": 0.27643693808049424, + "fos_yielding": 1.3689796858654955, + "deflection": 14728505197953.426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003960)" + }, + "parent_node_id": "node_2798", + "improvement_over_parent": null + }, + "node_2800": { + "node_id": "node_2800", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 237.06 kg\n Factor of Safety: 0.17\n Max Deflection: 7.21e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.05971801254248, + "fos_buckling": 0.17219340994297425, + "fos_yielding": 0.2069371292318695, + "deflection": 72115408694986.92, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_2799", + "improvement_over_parent": null + }, + "node_2801": { + "node_id": "node_2801", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 261.40 kg\n Factor of Safety: 0.30\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.4008460179194, + "fos_buckling": 0.30112264961085833, + "fos_yielding": 0.9148809705455894, + "deflection": 0.023735395706095768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_2800", + "improvement_over_parent": null + }, + "node_2802": { + "node_id": "node_2802", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 266.98 kg\n Factor of Safety: 0.49\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.9750456828956, + "fos_buckling": 0.49299455701081424, + "fos_yielding": 1.675651975956286, + "deflection": 0.009488078070045399, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2801", + "improvement_over_parent": null + }, + "node_2803": { + "node_id": "node_2803", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3574431383747, + "fos_buckling": 1.5140824059898736, + "fos_yielding": 2.1863946404508474, + "deflection": 0.005155636874533909, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_2802", + "improvement_over_parent": null + }, + "node_2804": { + "node_id": "node_2804", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2803", + "improvement_over_parent": null + }, + "node_2805": { + "node_id": "node_2805", + "content": "INITIAL DESIGN (Trace 400)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 255.76 kg\n Factor of Safety: 1.28\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.75864529966918, + "fos_buckling": 1.2828296297459827, + "fos_yielding": 1.9199371176618512, + "deflection": 0.006315889012190652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2806": { + "node_id": "node_2806", + "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 264.42 kg\n Factor of Safety: 1.28\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.42197353064125, + "fos_buckling": 1.2847182183466572, + "fos_yielding": 1.9202199790889904, + "deflection": 0.005890502339183154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.664)" + }, + "parent_node_id": "node_2805", + "improvement_over_parent": null + }, + "node_2807": { + "node_id": "node_2807", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 296.72 kg\n Factor of Safety: 1.41\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.71739975141116, + "fos_buckling": 1.4086550743822337, + "fos_yielding": 2.1530544242228427, + "deflection": 0.0052622154232312346, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_2806", + "improvement_over_parent": null + }, + "node_2808": { + "node_id": "node_2808", + "content": "MODIFICATION: Increase 2 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4515057398839, + "fos_buckling": 1.514050789319567, + "fos_yielding": 2.1870986080130086, + "deflection": 0.005154076326927949, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.647)" + }, + "parent_node_id": "node_2807", + "improvement_over_parent": null + }, + "node_2809": { + "node_id": "node_2809", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2808", + "improvement_over_parent": null + }, + "node_2810": { + "node_id": "node_2810", + "content": "INITIAL DESIGN (Trace 401)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 239.45 kg\n Factor of Safety: 0.77\n Max Deflection: 7.95e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.45230798826992, + "fos_buckling": 0.7700728971135578, + "fos_yielding": 1.1742136489189827, + "deflection": 0.007949631538688676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2811": { + "node_id": "node_2811", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 244.10 kg\n Factor of Safety: 0.95\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.10375943653105, + "fos_buckling": 0.9456311914615162, + "fos_yielding": 1.1883364209075056, + "deflection": 0.006341134966041066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002731)" + }, + "parent_node_id": "node_2810", + "improvement_over_parent": null + }, + "node_2812": { + "node_id": "node_2812", + "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0080)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 260.63 kg\n Factor of Safety: 0.95\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.63474073486054, + "fos_buckling": 0.9456878351113384, + "fos_yielding": 1.1884076026882089, + "deflection": 0.005945168387362224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.618)" + }, + "parent_node_id": "node_2811", + "improvement_over_parent": null + }, + "node_2813": { + "node_id": "node_2813", + "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0080)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 263.73 kg\n Factor of Safety: 0.94\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.73036215803404, + "fos_buckling": 0.9398753484826591, + "fos_yielding": 1.1811032861435928, + "deflection": 0.005911432589609521, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.445)" + }, + "parent_node_id": "node_2812", + "improvement_over_parent": null + }, + "node_2814": { + "node_id": "node_2814", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0097)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 315.54 kg\n Factor of Safety: 1.11\n Max Deflection: 4.96e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 315.5371681112376, + "fos_buckling": 1.1115420738901332, + "fos_yielding": 1.4226977473396298, + "deflection": 0.004957567852438578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_2813", + "improvement_over_parent": null + }, + "node_2815": { + "node_id": "node_2815", + "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0097)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 318.79 kg\n Factor of Safety: 1.11\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 318.79479536866444, + "fos_buckling": 1.1114564179402928, + "fos_yielding": 1.4225881135886935, + "deflection": 0.004927522790549707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.258)" + }, + "parent_node_id": "node_2814", + "improvement_over_parent": null + }, + "node_2816": { + "node_id": "node_2816", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2815", + "improvement_over_parent": null + }, + "node_2817": { + "node_id": "node_2817", + "content": "INITIAL DESIGN (Trace 402)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 214.49 kg\n Factor of Safety: 1.15\n Max Deflection: 1.18e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.49398542964695, + "fos_buckling": 1.1543909065812736, + "fos_yielding": 1.7129066229350278, + "deflection": 11763149368744.389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2818": { + "node_id": "node_2818", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n\nPerformance:\n Mass: 237.33 kg\n Factor of Safety: 0.94\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.3325024590438, + "fos_buckling": 0.939727948642235, + "fos_yielding": 1.9496278374546325, + "deflection": 0.007286994284936827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004715)" + }, + "parent_node_id": "node_2817", + "improvement_over_parent": null + }, + "node_2819": { + "node_id": "node_2819", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 257.67 kg\n Factor of Safety: 1.31\n Max Deflection: 6.27e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.6657739713595, + "fos_buckling": 1.3073885844872943, + "fos_yielding": 1.9159404878206654, + "deflection": 0.006265373307022486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004143)" + }, + "parent_node_id": "node_2818", + "improvement_over_parent": null + }, + "node_2820": { + "node_id": "node_2820", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 294.33 kg\n Factor of Safety: 1.46\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.3317887640245, + "fos_buckling": 1.4584447062983799, + "fos_yielding": 2.186135197514961, + "deflection": 0.005497285161725262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_2819", + "improvement_over_parent": null + }, + "node_2821": { + "node_id": "node_2821", + "content": "MODIFICATION: Increase 0 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.339601010847, + "fos_buckling": 1.5139126253746527, + "fos_yielding": 2.186468893654592, + "deflection": 0.005156094089120122, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.597)" + }, + "parent_node_id": "node_2820", + "improvement_over_parent": null + }, + "node_2822": { + "node_id": "node_2822", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2821", + "improvement_over_parent": null + }, + "node_2823": { + "node_id": "node_2823", + "content": "INITIAL DESIGN (Trace 403)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 254.00 kg\n Factor of Safety: 0.96\n Max Deflection: 4.18e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.9990112725161, + "fos_buckling": 0.9609575967614017, + "fos_yielding": 1.5238514843647193, + "deflection": 4180655705871.858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2824": { + "node_id": "node_2824", + "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 257.02 kg\n Factor of Safety: 0.96\n Max Deflection: 4.18e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.01762095912983, + "fos_buckling": 0.9609575967614017, + "fos_yielding": 2.105884268766121, + "deflection": 4180655705871.858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.437)" + }, + "parent_node_id": "node_2823", + "improvement_over_parent": null + }, + "node_2825": { + "node_id": "node_2825", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 277.33 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.33095584115665, + "fos_buckling": 0.4452531584952499, + "fos_yielding": 1.4209783672511467, + "deflection": 0.01071456961936132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_2824", + "improvement_over_parent": null + }, + "node_2826": { + "node_id": "node_2826", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4187481239328, + "fos_buckling": 1.5140715868569954, + "fos_yielding": 2.1874524459004796, + "deflection": 0.005154662227307768, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_2825", + "improvement_over_parent": null + }, + "node_2827": { + "node_id": "node_2827", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2826", + "improvement_over_parent": null + }, + "node_2828": { + "node_id": "node_2828", + "content": "INITIAL DESIGN (Trace 404)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 225.82 kg\n Factor of Safety: 0.23\n Max Deflection: 1.91e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.81571074605952, + "fos_buckling": 0.23343501547210832, + "fos_yielding": 0.5944283807757674, + "deflection": 19052486953241.137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2829": { + "node_id": "node_2829", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 249.86 kg\n Factor of Safety: 0.06\n Max Deflection: 9.31e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.85760390681506, + "fos_buckling": 0.05736367682640795, + "fos_yielding": 0.14860709519394186, + "deflection": 93122222697574.83, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_2828", + "improvement_over_parent": null + }, + "node_2830": { + "node_id": "node_2830", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 266.98 kg\n Factor of Safety: 0.49\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.97555913838954, + "fos_buckling": 0.4930445145065042, + "fos_yielding": 1.6756831353296486, + "deflection": 0.009488444232586218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_2829", + "improvement_over_parent": null + }, + "node_2831": { + "node_id": "node_2831", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.35795659386866, + "fos_buckling": 1.5140496729403685, + "fos_yielding": 2.1864339139651072, + "deflection": 0.005155632867729197, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_2830", + "improvement_over_parent": null + }, + "node_2832": { + "node_id": "node_2832", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2831", + "improvement_over_parent": null + }, + "node_2833": { + "node_id": "node_2833", + "content": "INITIAL DESIGN (Trace 405)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n\nPerformance:\n Mass: 171.75 kg\n Factor of Safety: 0.38\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.74566618952733, + "fos_buckling": 0.38029045421834873, + "fos_yielding": 1.2293358282075595, + "deflection": 0.014785981595332539, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2834": { + "node_id": "node_2834", + "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n\nPerformance:\n Mass: 176.30 kg\n Factor of Safety: 0.38\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.3034555656965, + "fos_buckling": 0.3800962493161248, + "fos_yielding": 1.2290526986068253, + "deflection": 0.014570234843993833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.335)" + }, + "parent_node_id": "node_2833", + "improvement_over_parent": null + }, + "node_2835": { + "node_id": "node_2835", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 207.77 kg\n Factor of Safety: 0.44\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.76887460973862, + "fos_buckling": 0.436818531756186, + "fos_yielding": 1.44632628906216, + "deflection": 0.012394881004268266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_2834", + "improvement_over_parent": null + }, + "node_2836": { + "node_id": "node_2836", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n\nPerformance:\n Mass: 239.11 kg\n Factor of Safety: 0.47\n Max Deflection: 7.75e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.10656506005478, + "fos_buckling": 0.47204819075297094, + "fos_yielding": 1.5933614676718764, + "deflection": 0.007750604758370793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005095)" + }, + "parent_node_id": "node_2835", + "improvement_over_parent": null + }, + "node_2837": { + "node_id": "node_2837", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 257.36 kg\n Factor of Safety: 1.23\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.358597610464, + "fos_buckling": 1.2303569051531211, + "fos_yielding": 1.8711331567816496, + "deflection": 0.006025709746652292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003474)" + }, + "parent_node_id": "node_2836", + "improvement_over_parent": null + }, + "node_2838": { + "node_id": "node_2838", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 298.65 kg\n Factor of Safety: 1.40\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.652841806565, + "fos_buckling": 1.3953011334279888, + "fos_yielding": 2.1690656497157845, + "deflection": 0.0052092953225243085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_2837", + "improvement_over_parent": null + }, + "node_2839": { + "node_id": "node_2839", + "content": "MODIFICATION: Increase 15 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.20 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.1972841326386, + "fos_buckling": 1.5132731710570237, + "fos_yielding": 2.185300405064303, + "deflection": 0.005158370938755338, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.235)" + }, + "parent_node_id": "node_2838", + "improvement_over_parent": null + }, + "node_2840": { + "node_id": "node_2840", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2839", + "improvement_over_parent": null + }, + "node_2841": { + "node_id": "node_2841", + "content": "INITIAL DESIGN (Trace 406)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2842": { + "node_id": "node_2842", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 216.61 kg\n Factor of Safety: 0.88\n Max Deflection: 7.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.6114018393077, + "fos_buckling": 0.8818892197487483, + "fos_yielding": 1.680307629632794, + "deflection": 0.00782354487567675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003708)" + }, + "parent_node_id": "node_2841", + "improvement_over_parent": null + }, + "node_2843": { + "node_id": "node_2843", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n\nPerformance:\n Mass: 229.84 kg\n Factor of Safety: 1.04\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.84146204978742, + "fos_buckling": 1.0376382206356707, + "fos_yielding": 1.677711806481182, + "deflection": 0.006820676685462054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003339)" + }, + "parent_node_id": "node_2842", + "improvement_over_parent": null + }, + "node_2844": { + "node_id": "node_2844", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n\nPerformance:\n Mass: 255.17 kg\n Factor of Safety: 1.14\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.16848349779633, + "fos_buckling": 1.1439634867555035, + "fos_yielding": 1.8613636191441314, + "deflection": 0.006154809130668573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_2843", + "improvement_over_parent": null + }, + "node_2845": { + "node_id": "node_2845", + "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n\nPerformance:\n Mass: 258.65 kg\n Factor of Safety: 1.14\n Max Deflection: 6.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.65318547068955, + "fos_buckling": 1.139541033585673, + "fos_yielding": 1.8762858874222574, + "deflection": 0.006091283120599409, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.312)" + }, + "parent_node_id": "node_2844", + "improvement_over_parent": null + }, + "node_2846": { + "node_id": "node_2846", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 301.76 kg\n Factor of Safety: 1.31\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.75921161642145, + "fos_buckling": 1.3139412484804747, + "fos_yielding": 2.1867152965364354, + "deflection": 0.005236948678020308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_2845", + "improvement_over_parent": null + }, + "node_2847": { + "node_id": "node_2847", + "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0037)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.09 kg\n Factor of Safety: 1.33\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.0917994748643, + "fos_buckling": 1.3286392484634995, + "fos_yielding": 2.1921541424278597, + "deflection": 0.005230711986003009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.553)" + }, + "parent_node_id": "node_2846", + "improvement_over_parent": null + }, + "node_2848": { + "node_id": "node_2848", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2847", + "improvement_over_parent": null + }, + "node_2849": { + "node_id": "node_2849", + "content": "INITIAL DESIGN (Trace 407)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 267.75 kg\n Factor of Safety: 1.09\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.7473248779066, + "fos_buckling": 1.0921647264092993, + "fos_yielding": 2.169393881493496, + "deflection": 0.006125772386776581, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2850": { + "node_id": "node_2850", + "content": "MODIFICATION: Increase 14 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 273.81 kg\n Factor of Safety: 1.09\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.80965548022806, + "fos_buckling": 1.0919189930623703, + "fos_yielding": 2.192534396322411, + "deflection": 0.006052361291768861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.337)" + }, + "parent_node_id": "node_2849", + "improvement_over_parent": null + }, + "node_2851": { + "node_id": "node_2851", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 298.15 kg\n Factor of Safety: 1.37\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.15078348560496, + "fos_buckling": 1.373997380124594, + "fos_yielding": 2.189889283960142, + "deflection": 0.005214596636895487, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_2850", + "improvement_over_parent": null + }, + "node_2852": { + "node_id": "node_2852", + "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0056)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.37\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.27458638946354, + "fos_buckling": 1.3677823476006685, + "fos_yielding": 2.176611874091168, + "deflection": 0.005187850374711606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.323)" + }, + "parent_node_id": "node_2851", + "improvement_over_parent": null + }, + "node_2853": { + "node_id": "node_2853", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2852", + "improvement_over_parent": null + }, + "node_2854": { + "node_id": "node_2854", + "content": "INITIAL DESIGN (Trace 408)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2855": { + "node_id": "node_2855", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 194.88 kg\n Factor of Safety: 0.41\n Max Deflection: 9.31e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.8778479387221, + "fos_buckling": 0.41348743633548923, + "fos_yielding": 1.3461966255605462, + "deflection": 0.00930891951669807, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002750)" + }, + "parent_node_id": "node_2854", + "improvement_over_parent": null + }, + "node_2856": { + "node_id": "node_2856", + "content": "MODIFICATION: Increase 13 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 198.93 kg\n Factor of Safety: 0.41\n Max Deflection: 9.31e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.92829921619432, + "fos_buckling": 0.4136122208947037, + "fos_yielding": 1.3462877718792328, + "deflection": 0.009309005292972404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.295)" + }, + "parent_node_id": "node_2855", + "improvement_over_parent": null + }, + "node_2857": { + "node_id": "node_2857", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 229.04 kg\n Factor of Safety: 0.47\n Max Deflection: 8.10e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.0394756323772, + "fos_buckling": 0.46602906949535816, + "fos_yielding": 1.5485800994976613, + "deflection": 0.008101237916180897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_2856", + "improvement_over_parent": null + }, + "node_2858": { + "node_id": "node_2858", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n\nPerformance:\n Mass: 245.98 kg\n Factor of Safety: 1.00\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.98348558544308, + "fos_buckling": 0.9973026689534528, + "fos_yielding": 1.7591800519013507, + "deflection": 0.006513445778252904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003677)" + }, + "parent_node_id": "node_2857", + "improvement_over_parent": null + }, + "node_2859": { + "node_id": "node_2859", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 248.32 kg\n Factor of Safety: 1.14\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.32241711120497, + "fos_buckling": 1.1435281251728318, + "fos_yielding": 1.824035554364411, + "deflection": 0.006383196323365005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001936)" + }, + "parent_node_id": "node_2858", + "improvement_over_parent": null + }, + "node_2860": { + "node_id": "node_2860", + "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 253.12 kg\n Factor of Safety: 1.31\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.1224409765797, + "fos_buckling": 1.3051057048115255, + "fos_yielding": 1.8266203315376397, + "deflection": 0.0061551587013991315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.305)" + }, + "parent_node_id": "node_2859", + "improvement_over_parent": null + }, + "node_2861": { + "node_id": "node_2861", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.37 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3679417371638, + "fos_buckling": 1.5139719899413635, + "fos_yielding": 2.1867014183621394, + "deflection": 0.005155384498551137, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_2860", + "improvement_over_parent": null + }, + "node_2862": { + "node_id": "node_2862", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2861", + "improvement_over_parent": null + }, + "node_2863": { + "node_id": "node_2863", + "content": "INITIAL DESIGN (Trace 409)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 212.64 kg\n Factor of Safety: 0.64\n Max Deflection: 9.36e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.63813865420946, + "fos_buckling": 0.6350015039107982, + "fos_yielding": 1.6793903608221366, + "deflection": 0.009355519320182751, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2864": { + "node_id": "node_2864", + "content": "MODIFICATION: Increase 12 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 215.24 kg\n Factor of Safety: 0.71\n Max Deflection: 9.20e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.2368180220163, + "fos_buckling": 0.7115238330106939, + "fos_yielding": 1.6781925141265643, + "deflection": 0.009195260732318264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.182)" + }, + "parent_node_id": "node_2863", + "improvement_over_parent": null + }, + "node_2865": { + "node_id": "node_2865", + "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 219.65 kg\n Factor of Safety: 0.69\n Max Deflection: 8.70e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.6463046149847, + "fos_buckling": 0.6860951539774462, + "fos_yielding": 1.6763072611021272, + "deflection": 0.008702182269502522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.285)" + }, + "parent_node_id": "node_2864", + "improvement_over_parent": null + }, + "node_2866": { + "node_id": "node_2866", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 285.09 kg\n Factor of Safety: 0.86\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.09456260218036, + "fos_buckling": 0.8554373689767624, + "fos_yielding": 2.1709103889695327, + "deflection": 0.006729754102806534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_2865", + "improvement_over_parent": null + }, + "node_2867": { + "node_id": "node_2867", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 290.67 kg\n Factor of Safety: 1.16\n Max Deflection: 5.56e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.6687622671566, + "fos_buckling": 1.1577345694832122, + "fos_yielding": 2.193521003188097, + "deflection": 0.005558087322729505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2866", + "improvement_over_parent": null + }, + "node_2868": { + "node_id": "node_2868", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 294.20 kg\n Factor of Safety: 1.32\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.19715231974766, + "fos_buckling": 1.3242522554406586, + "fos_yielding": 2.1961828811209263, + "deflection": 0.005384912283543483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.227)" + }, + "parent_node_id": "node_2867", + "improvement_over_parent": null + }, + "node_2869": { + "node_id": "node_2869", + "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 300.10 kg\n Factor of Safety: 1.41\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.09862371479693, + "fos_buckling": 1.4111692774712699, + "fos_yielding": 2.199167172423341, + "deflection": 0.005187130547062302, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.321)" + }, + "parent_node_id": "node_2868", + "improvement_over_parent": null + }, + "node_2870": { + "node_id": "node_2870", + "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.21 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.21165069713294, + "fos_buckling": 1.513324206465012, + "fos_yielding": 2.185567566651843, + "deflection": 0.005158186524536962, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.357)" + }, + "parent_node_id": "node_2869", + "improvement_over_parent": null + }, + "node_2871": { + "node_id": "node_2871", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2870", + "improvement_over_parent": null + }, + "node_2872": { + "node_id": "node_2872", + "content": "INITIAL DESIGN (Trace 410)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 176.80 kg\n Factor of Safety: 0.32\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.7988719059617, + "fos_buckling": 0.32229335044204466, + "fos_yielding": 0.9742928641001193, + "deflection": 0.017902994219370947, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2873": { + "node_id": "node_2873", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n\nPerformance:\n Mass: 188.43 kg\n Factor of Safety: 0.32\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.4324861047468, + "fos_buckling": 0.3220131561221527, + "fos_yielding": 0.9735064473223758, + "deflection": 0.015642584881984875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002911)" + }, + "parent_node_id": "node_2872", + "improvement_over_parent": null + }, + "node_2874": { + "node_id": "node_2874", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 231.09 kg\n Factor of Safety: 0.38\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.08634458370435, + "fos_buckling": 0.38340107780352256, + "fos_yielding": 1.1891174152697628, + "deflection": 0.012804926657954265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_2873", + "improvement_over_parent": null + }, + "node_2875": { + "node_id": "node_2875", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n\nPerformance:\n Mass: 252.81 kg\n Factor of Safety: 1.30\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.81199163990274, + "fos_buckling": 1.303745649696644, + "fos_yielding": 1.824361350997087, + "deflection": 0.006162911581819604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004467)" + }, + "parent_node_id": "node_2874", + "improvement_over_parent": null + }, + "node_2876": { + "node_id": "node_2876", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.68 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.68129345073, + "fos_buckling": 1.5152042502884266, + "fos_yielding": 2.1889073878361933, + "deflection": 0.005150465963922873, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_2875", + "improvement_over_parent": null + }, + "node_2877": { + "node_id": "node_2877", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2876", + "improvement_over_parent": null + }, + "node_2878": { + "node_id": "node_2878", + "content": "INITIAL DESIGN (Trace 411)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 260.94 kg\n Factor of Safety: 1.09\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.94016123640847, + "fos_buckling": 1.0930529506705686, + "fos_yielding": 2.1070431700372354, + "deflection": 0.006800868000630971, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2879": { + "node_id": "node_2879", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 263.74 kg\n Factor of Safety: 1.09\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.744417215549, + "fos_buckling": 1.0928252388996684, + "fos_yielding": 2.18586261855284, + "deflection": 0.006705386504197898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_2878", + "improvement_over_parent": null + }, + "node_2880": { + "node_id": "node_2880", + "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0079)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 276.43 kg\n Factor of Safety: 1.09\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.4293839942402, + "fos_buckling": 1.0912826703338236, + "fos_yielding": 2.1818950079992327, + "deflection": 0.0066187123500181235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.642)" + }, + "parent_node_id": "node_2879", + "improvement_over_parent": null + }, + "node_2881": { + "node_id": "node_2881", + "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0079)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 284.26 kg\n Factor of Safety: 1.09\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 284.2604039863752, + "fos_buckling": 1.09064906834351, + "fos_yielding": 2.181758343133918, + "deflection": 0.0059903913363668565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.484)" + }, + "parent_node_id": "node_2880", + "improvement_over_parent": null + }, + "node_2882": { + "node_id": "node_2882", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0079)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 308.60 kg\n Factor of Safety: 1.52\n Max Deflection: 5.12e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 308.6015319917521, + "fos_buckling": 1.5225916403531459, + "fos_yielding": 2.179082977038411, + "deflection": 0.005117287322025962, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_2881", + "improvement_over_parent": null + }, + "node_2883": { + "node_id": "node_2883", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2882", + "improvement_over_parent": null + }, + "node_2884": { + "node_id": "node_2884", + "content": "INITIAL DESIGN (Trace 412)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 193.12 kg\n Factor of Safety: 0.68\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.12489673733523, + "fos_buckling": 0.6757850941694801, + "fos_yielding": 1.5232442458943505, + "deflection": 0.008107861980899961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2885": { + "node_id": "node_2885", + "content": "MODIFICATION: Increase 3 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 196.80 kg\n Factor of Safety: 0.68\n Max Deflection: 8.00e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.79542215302735, + "fos_buckling": 0.6755975558056361, + "fos_yielding": 1.5231917137552948, + "deflection": 0.008000604277607142, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.462)" + }, + "parent_node_id": "node_2884", + "improvement_over_parent": null + }, + "node_2886": { + "node_id": "node_2886", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 231.34 kg\n Factor of Safety: 0.78\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.3423122776796, + "fos_buckling": 0.776931804013877, + "fos_yielding": 1.7889484278911247, + "deflection": 0.006822030982330078, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_2885", + "improvement_over_parent": null + }, + "node_2887": { + "node_id": "node_2887", + "content": "MODIFICATION: Increase 11 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 234.94 kg\n Factor of Safety: 0.78\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.94217609086257, + "fos_buckling": 0.7767204671651928, + "fos_yielding": 1.788887997085616, + "deflection": 0.006756279836492294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.233)" + }, + "parent_node_id": "node_2886", + "improvement_over_parent": null + }, + "node_2888": { + "node_id": "node_2888", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 282.44 kg\n Factor of Safety: 0.91\n Max Deflection: 5.64e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.4434502781177, + "fos_buckling": 0.9058293553840837, + "fos_yielding": 2.1483885773401803, + "deflection": 0.00563789376089942, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_2887", + "improvement_over_parent": null + }, + "node_2889": { + "node_id": "node_2889", + "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.17 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.1690571342161, + "fos_buckling": 0.90592865210222, + "fos_yielding": 2.16160647669991, + "deflection": 0.005597892239074205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.383)" + }, + "parent_node_id": "node_2888", + "improvement_over_parent": null + }, + "node_2890": { + "node_id": "node_2890", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n\nPerformance:\n Mass: 300.43 kg\n Factor of Safety: 1.52\n Max Deflection: 5.17e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 300.428528616282, + "fos_buckling": 1.516511864204515, + "fos_yielding": 2.186247799728706, + "deflection": 0.005174747410891475, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003751)" + }, + "parent_node_id": "node_2889", + "improvement_over_parent": null + }, + "node_2891": { + "node_id": "node_2891", + "content": "MODIFICATION: Increase 12 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0057)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n\nPerformance:\n Mass: 304.47 kg\n Factor of Safety: 1.52\n Max Deflection: 5.14e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 304.4663309009074, + "fos_buckling": 1.5177263525781208, + "fos_yielding": 2.1845791168999154, + "deflection": 0.005139031744759245, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.195)" + }, + "parent_node_id": "node_2890", + "improvement_over_parent": null + }, + "node_2892": { + "node_id": "node_2892", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2891", + "improvement_over_parent": null + }, + "node_2893": { + "node_id": "node_2893", + "content": "INITIAL DESIGN (Trace 413)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0012)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 215.93 kg\n Factor of Safety: 0.59\n Max Deflection: 7.41e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.93387011524888, + "fos_buckling": 0.5905672674947254, + "fos_yielding": 0.7951184198993233, + "deflection": 0.007409955715414987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2894": { + "node_id": "node_2894", + "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 217.73 kg\n Factor of Safety: 0.90\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.73445565986182, + "fos_buckling": 0.9011910189428287, + "fos_yielding": 1.251207261552639, + "deflection": 0.007176953297355476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.664)" + }, + "parent_node_id": "node_2893", + "improvement_over_parent": null + }, + "node_2895": { + "node_id": "node_2895", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 261.40 kg\n Factor of Safety: 1.07\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.4019008990777, + "fos_buckling": 1.0673344228869583, + "fos_yielding": 1.506810786376611, + "deflection": 0.005997225964008569, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_2894", + "improvement_over_parent": null + }, + "node_2896": { + "node_id": "node_2896", + "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 264.74 kg\n Factor of Safety: 1.06\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.7359843797264, + "fos_buckling": 1.0559822236279477, + "fos_yielding": 1.490784304024148, + "deflection": 0.00594658788413325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.307)" + }, + "parent_node_id": "node_2895", + "improvement_over_parent": null + }, + "node_2897": { + "node_id": "node_2897", + "content": "MODIFICATION: Increase 6 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 267.56 kg\n Factor of Safety: 1.37\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.55962018400385, + "fos_buckling": 1.3668189088369544, + "fos_yielding": 1.9299879257140533, + "deflection": 0.005829570258345543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.548)" + }, + "parent_node_id": "node_2896", + "improvement_over_parent": null + }, + "node_2898": { + "node_id": "node_2898", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.59771671398, + "fos_buckling": 1.514921851726587, + "fos_yielding": 2.188145128681051, + "deflection": 0.005151681533712985, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_2897", + "improvement_over_parent": null + }, + "node_2899": { + "node_id": "node_2899", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2898", + "improvement_over_parent": null + }, + "node_2900": { + "node_id": "node_2900", + "content": "INITIAL DESIGN (Trace 414)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 151.61 kg\n Factor of Safety: 0.61\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.61191351810118, + "fos_buckling": 0.6133247441766092, + "fos_yielding": 0.7462600606705034, + "deflection": 0.010164054258717026, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2901": { + "node_id": "node_2901", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 193.07 kg\n Factor of Safety: 0.77\n Max Deflection: 8.01e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.07087108282673, + "fos_buckling": 0.7718556240026505, + "fos_yielding": 0.9534057592235161, + "deflection": 0.008007068061554096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_2900", + "improvement_over_parent": null + }, + "node_2902": { + "node_id": "node_2902", + "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 195.25 kg\n Factor of Safety: 0.77\n Max Deflection: 7.97e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.25149315764756, + "fos_buckling": 0.7676820955807021, + "fos_yielding": 0.9482505645082996, + "deflection": 0.007968473019641082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.379)" + }, + "parent_node_id": "node_2901", + "improvement_over_parent": null + }, + "node_2903": { + "node_id": "node_2903", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 231.37 kg\n Factor of Safety: 0.90\n Max Deflection: 6.74e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.36621749149026, + "fos_buckling": 0.9003881893703624, + "fos_yielding": 1.1270489690866028, + "deflection": 0.006742727783490029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_2902", + "improvement_over_parent": null + }, + "node_2904": { + "node_id": "node_2904", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.93 kg\n Factor of Safety: 1.14\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.9290580879198, + "fos_buckling": 1.1442460503993588, + "fos_yielding": 1.4701426288021022, + "deflection": 0.0052278012529654964, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_2903", + "improvement_over_parent": null + }, + "node_2905": { + "node_id": "node_2905", + "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.51088372971964, + "fos_buckling": 1.5144581638026355, + "fos_yielding": 2.1872100570430435, + "deflection": 0.005153151698538482, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.560)" + }, + "parent_node_id": "node_2904", + "improvement_over_parent": null + }, + "node_2906": { + "node_id": "node_2906", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2905", + "improvement_over_parent": null + }, + "node_2907": { + "node_id": "node_2907", + "content": "INITIAL DESIGN (Trace 415)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 236.48 kg\n Factor of Safety: 1.21\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.47856003762192, + "fos_buckling": 1.205553076707547, + "fos_yielding": 1.7348702267124052, + "deflection": 0.006602343766606064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2908": { + "node_id": "node_2908", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 298.39 kg\n Factor of Safety: 1.46\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.39080347653174, + "fos_buckling": 1.4613343302455675, + "fos_yielding": 2.185342515633758, + "deflection": 0.005256278628916801, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_2907", + "improvement_over_parent": null + }, + "node_2909": { + "node_id": "node_2909", + "content": "MODIFICATION: Increase 3 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.99 kg\n Factor of Safety: 1.44\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.98537346409285, + "fos_buckling": 1.4447866782635956, + "fos_yielding": 2.185105627047813, + "deflection": 0.0052106931744553804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.292)" + }, + "parent_node_id": "node_2908", + "improvement_over_parent": null + }, + "node_2910": { + "node_id": "node_2910", + "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.30 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3027327372592, + "fos_buckling": 1.5135715469253046, + "fos_yielding": 2.1861946278254267, + "deflection": 0.005156618951508193, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.340)" + }, + "parent_node_id": "node_2909", + "improvement_over_parent": null + }, + "node_2911": { + "node_id": "node_2911", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2910", + "improvement_over_parent": null + }, + "node_2912": { + "node_id": "node_2912", + "content": "INITIAL DESIGN (Trace 416)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 171.30 kg\n Factor of Safety: 0.19\n Max Deflection: 3.77e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.30106391701005, + "fos_buckling": 0.19057726486249513, + "fos_yielding": 1.0039300497856152, + "deflection": 0.0377475398103228, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2913": { + "node_id": "node_2913", + "content": "MODIFICATION: Increase 3 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 175.42 kg\n Factor of Safety: 0.19\n Max Deflection: 3.76e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.42104074188896, + "fos_buckling": 0.19051890230703603, + "fos_yielding": 1.003817195463842, + "deflection": 0.03760478341643898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.605)" + }, + "parent_node_id": "node_2912", + "improvement_over_parent": null + }, + "node_2914": { + "node_id": "node_2914", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n\nPerformance:\n Mass: 177.28 kg\n Factor of Safety: 0.32\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.2782540072694, + "fos_buckling": 0.3150244571158874, + "fos_yielding": 0.9497491890966714, + "deflection": 0.016668552879729848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001513)" + }, + "parent_node_id": "node_2913", + "improvement_over_parent": null + }, + "node_2915": { + "node_id": "node_2915", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n\nPerformance:\n Mass: 226.19 kg\n Factor of Safety: 0.39\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.19409452256994, + "fos_buckling": 0.3879699671200391, + "fos_yielding": 1.2055954314520776, + "deflection": 0.013122740129526243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_2914", + "improvement_over_parent": null + }, + "node_2916": { + "node_id": "node_2916", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 267.92 kg\n Factor of Safety: 0.45\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.924135192345, + "fos_buckling": 0.44552248027909974, + "fos_yielding": 1.4217445542557166, + "deflection": 0.011121034849635053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_2915", + "improvement_over_parent": null + }, + "node_2917": { + "node_id": "node_2917", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 294.01 kg\n Factor of Safety: 1.49\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.0119274751211, + "fos_buckling": 1.4924528158657915, + "fos_yielding": 2.1842871608791294, + "deflection": 0.005344096093760139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_2916", + "improvement_over_parent": null + }, + "node_2918": { + "node_id": "node_2918", + "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 298.95 kg\n Factor of Safety: 1.50\n Max Deflection: 5.19e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 298.9538132725567, + "fos_buckling": 1.5001452392225765, + "fos_yielding": 2.1844081211179844, + "deflection": 0.005187993288482848, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.263)" + }, + "parent_node_id": "node_2917", + "improvement_over_parent": null + }, + "node_2919": { + "node_id": "node_2919", + "content": "MODIFICATION: Increase 12 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0055)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.75 kg\n Factor of Safety: 1.49\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.75362618799267, + "fos_buckling": 1.4944262338063259, + "fos_yielding": 2.171599929128246, + "deflection": 0.0051614332471469695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.302)" + }, + "parent_node_id": "node_2918", + "improvement_over_parent": null + }, + "node_2920": { + "node_id": "node_2920", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2919", + "improvement_over_parent": null + }, + "node_2921": { + "node_id": "node_2921", + "content": "INITIAL DESIGN (Trace 417)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 185.66 kg\n Factor of Safety: 0.83\n Max Deflection: 8.34e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.6555061851142, + "fos_buckling": 0.8298740198451218, + "fos_yielding": 1.143440052592183, + "deflection": 0.008338122902749176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2922": { + "node_id": "node_2922", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 229.37 kg\n Factor of Safety: 1.01\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.36891118853268, + "fos_buckling": 1.0099800213769783, + "fos_yielding": 1.4161201766416567, + "deflection": 0.0067713942965790625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_2921", + "improvement_over_parent": null + }, + "node_2923": { + "node_id": "node_2923", + "content": "MODIFICATION: Increase 11 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 235.89 kg\n Factor of Safety: 0.99\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.88739261011574, + "fos_buckling": 0.9870254435116027, + "fos_yielding": 1.3839349450792224, + "deflection": 0.0066488376300345075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.555)" + }, + "parent_node_id": "node_2922", + "improvement_over_parent": null + }, + "node_2924": { + "node_id": "node_2924", + "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 238.17 kg\n Factor of Safety: 1.24\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.1676997914363, + "fos_buckling": 1.2396551232009838, + "fos_yielding": 1.7192548210944976, + "deflection": 0.006534346300060864, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.471)" + }, + "parent_node_id": "node_2923", + "improvement_over_parent": null + }, + "node_2925": { + "node_id": "node_2925", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.68 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.68393033960865, + "fos_buckling": 1.5150907403090292, + "fos_yielding": 2.1889216903536792, + "deflection": 0.005150266822425591, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_2924", + "improvement_over_parent": null + }, + "node_2926": { + "node_id": "node_2926", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2925", + "improvement_over_parent": null + }, + "node_2927": { + "node_id": "node_2927", + "content": "INITIAL DESIGN (Trace 418)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 216.46 kg\n Factor of Safety: 0.91\n Max Deflection: 7.49e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.46428142112288, + "fos_buckling": 0.9121050648004073, + "fos_yielding": 1.94585958364415, + "deflection": 0.00748568226634554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2928": { + "node_id": "node_2928", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 231.10 kg\n Factor of Safety: 0.95\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.10430312835635, + "fos_buckling": 0.9480479778278693, + "fos_yielding": 1.7786870458069135, + "deflection": 0.006970986377872263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003365)" + }, + "parent_node_id": "node_2927", + "improvement_over_parent": null + }, + "node_2929": { + "node_id": "node_2929", + "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 232.57 kg\n Factor of Safety: 0.99\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.5746701055664, + "fos_buckling": 0.9948692619280374, + "fos_yielding": 1.7801641517959477, + "deflection": 0.006837033603904233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.517)" + }, + "parent_node_id": "node_2928", + "improvement_over_parent": null + }, + "node_2930": { + "node_id": "node_2930", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 286.83 kg\n Factor of Safety: 1.20\n Max Deflection: 5.56e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.8305224914654, + "fos_buckling": 1.20012430707109, + "fos_yielding": 2.1907496742101418, + "deflection": 0.00556285742717889, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_2929", + "improvement_over_parent": null + }, + "node_2931": { + "node_id": "node_2931", + "content": "MODIFICATION: Increase 13 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 292.32 kg\n Factor of Safety: 1.20\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.31698717559993, + "fos_buckling": 1.2022258574359268, + "fos_yielding": 2.187686044138648, + "deflection": 0.005498646162094492, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.339)" + }, + "parent_node_id": "node_2930", + "improvement_over_parent": null + }, + "node_2932": { + "node_id": "node_2932", + "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5477596362592, + "fos_buckling": 1.5139261801306443, + "fos_yielding": 2.1879804560777862, + "deflection": 0.005152807265953319, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.490)" + }, + "parent_node_id": "node_2931", + "improvement_over_parent": null + }, + "node_2933": { + "node_id": "node_2933", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2932", + "improvement_over_parent": null + }, + "node_2934": { + "node_id": "node_2934", + "content": "INITIAL DESIGN (Trace 419)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 178.96 kg\n Factor of Safety: 0.69\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.9647615099345, + "fos_buckling": 0.6906468648358393, + "fos_yielding": 0.9404041940419164, + "deflection": 0.008766341122284967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2935": { + "node_id": "node_2935", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 216.11 kg\n Factor of Safety: 0.83\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.1056293633026, + "fos_buckling": 0.825939357825244, + "fos_yielding": 1.1390181437328912, + "deflection": 0.0072789291810564935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_2934", + "improvement_over_parent": null + }, + "node_2936": { + "node_id": "node_2936", + "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 218.73 kg\n Factor of Safety: 1.15\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.7342734345753, + "fos_buckling": 1.1526303832649807, + "fos_yielding": 1.5796266622060224, + "deflection": 0.007104356092280392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.661)" + }, + "parent_node_id": "node_2935", + "improvement_over_parent": null + }, + "node_2937": { + "node_id": "node_2937", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 252.41 kg\n Factor of Safety: 1.30\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.4139956070386, + "fos_buckling": 1.301961784784649, + "fos_yielding": 1.8214502960977466, + "deflection": 0.006172269071279048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_2936", + "improvement_over_parent": null + }, + "node_2938": { + "node_id": "node_2938", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.89 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.8894529376672, + "fos_buckling": 1.5159645238780137, + "fos_yielding": 2.1903320453089634, + "deflection": 0.005146878346543239, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_2937", + "improvement_over_parent": null + }, + "node_2939": { + "node_id": "node_2939", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2938", + "improvement_over_parent": null + }, + "node_2940": { + "node_id": "node_2940", + "content": "INITIAL DESIGN (Trace 420)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 113.59 kg\n Factor of Safety: 0.16\n Max Deflection: 5.93e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.58654246164868, + "fos_buckling": 0.16351088678092657, + "fos_yielding": 0.5944283807757675, + "deflection": 59308502836074.62, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2941": { + "node_id": "node_2941", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 143.12 kg\n Factor of Safety: 0.20\n Max Deflection: 2.21e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.11506202643162, + "fos_buckling": 0.20153591599973442, + "fos_yielding": 0.8282622498281594, + "deflection": 22051876207523.074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_2940", + "improvement_over_parent": null + }, + "node_2942": { + "node_id": "node_2942", + "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 149.17 kg\n Factor of Safety: 0.40\n Max Deflection: 2.37e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.1677308685023, + "fos_buckling": 0.40307183199946883, + "fos_yielding": 1.2547073152123573, + "deflection": 23680376985475.508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.616)" + }, + "parent_node_id": "node_2941", + "improvement_over_parent": null + }, + "node_2943": { + "node_id": "node_2943", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 189.45 kg\n Factor of Safety: 0.33\n Max Deflection: 2.26e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.451149257888, + "fos_buckling": 0.33148348667456995, + "fos_yielding": 0.5944283807757674, + "deflection": 22573978149905.0, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_2942", + "improvement_over_parent": null + }, + "node_2944": { + "node_id": "node_2944", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 218.54 kg\n Factor of Safety: 0.76\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.54164043699933, + "fos_buckling": 0.7619658567146761, + "fos_yielding": 1.7292817244050889, + "deflection": 0.008142815067822273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004702)" + }, + "parent_node_id": "node_2943", + "improvement_over_parent": null + }, + "node_2945": { + "node_id": "node_2945", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n\nPerformance:\n Mass: 238.01 kg\n Factor of Safety: 0.74\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.00573627334708, + "fos_buckling": 0.736237287337766, + "fos_yielding": 1.727351867733225, + "deflection": 0.008129612244558913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003846)" + }, + "parent_node_id": "node_2944", + "improvement_over_parent": null + }, + "node_2946": { + "node_id": "node_2946", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 242.46 kg\n Factor of Safety: 1.26\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.46397830114927, + "fos_buckling": 1.2592363252612262, + "fos_yielding": 1.7496149605556117, + "deflection": 0.006420252256216012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002609)" + }, + "parent_node_id": "node_2945", + "improvement_over_parent": null + }, + "node_2947": { + "node_id": "node_2947", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.417645170037, + "fos_buckling": 1.514770610412607, + "fos_yielding": 2.1864278725190407, + "deflection": 0.0051543580000979585, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_2946", + "improvement_over_parent": null + }, + "node_2948": { + "node_id": "node_2948", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2947", + "improvement_over_parent": null + }, + "node_2949": { + "node_id": "node_2949", + "content": "INITIAL DESIGN (Trace 421)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 155.64 kg\n Factor of Safety: 0.69\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.63971271364522, + "fos_buckling": 0.6883391844331491, + "fos_yielding": 1.138761637272481, + "deflection": 0.011208692239101276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2950": { + "node_id": "node_2950", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 176.97 kg\n Factor of Safety: 0.77\n Max Deflection: 9.88e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.96754906197188, + "fos_buckling": 0.7697100136212813, + "fos_yielding": 1.296293361533958, + "deflection": 0.009875907433978362, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_2949", + "improvement_over_parent": null + }, + "node_2951": { + "node_id": "node_2951", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n\nPerformance:\n Mass: 188.36 kg\n Factor of Safety: 0.77\n Max Deflection: 8.61e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.35615548329895, + "fos_buckling": 0.7690632105825717, + "fos_yielding": 1.2962933615339578, + "deflection": 0.008608104914620886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002846)" + }, + "parent_node_id": "node_2950", + "improvement_over_parent": null + }, + "node_2952": { + "node_id": "node_2952", + "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n\nPerformance:\n Mass: 189.98 kg\n Factor of Safety: 0.77\n Max Deflection: 8.54e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.9819040530177, + "fos_buckling": 0.7690632105825704, + "fos_yielding": 1.2962933615339578, + "deflection": 0.008543459356959352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.277)" + }, + "parent_node_id": "node_2951", + "improvement_over_parent": null + }, + "node_2953": { + "node_id": "node_2953", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n\nPerformance:\n Mass: 198.43 kg\n Factor of Safety: 0.95\n Max Deflection: 7.95e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.42580649066747, + "fos_buckling": 0.9469168684405798, + "fos_yielding": 1.1920592228182598, + "deflection": 0.007945107101895648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002451)" + }, + "parent_node_id": "node_2952", + "improvement_over_parent": null + }, + "node_2954": { + "node_id": "node_2954", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0042)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n\nPerformance:\n Mass: 230.13 kg\n Factor of Safety: 1.08\n Max Deflection: 6.87e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.12533730527593, + "fos_buckling": 1.0815953129737694, + "fos_yielding": 1.3840589676490982, + "deflection": 0.0068657407199982845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_2953", + "improvement_over_parent": null + }, + "node_2955": { + "node_id": "node_2955", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0055)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 298.34 kg\n Factor of Safety: 1.35\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.336244484884, + "fos_buckling": 1.3546514113524646, + "fos_yielding": 1.7991299303469568, + "deflection": 0.005320825410774861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_2954", + "improvement_over_parent": null + }, + "node_2956": { + "node_id": "node_2956", + "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0055)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0061)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.56 kg\n Factor of Safety: 1.36\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.558036921719, + "fos_buckling": 1.3561144981429674, + "fos_yielding": 1.7989439781807726, + "deflection": 0.00527255518595992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.242)" + }, + "parent_node_id": "node_2955", + "improvement_over_parent": null + }, + "node_2957": { + "node_id": "node_2957", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2956", + "improvement_over_parent": null + }, + "node_2958": { + "node_id": "node_2958", + "content": "INITIAL DESIGN (Trace 422)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 226.41 kg\n Factor of Safety: 1.01\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.41226333373905, + "fos_buckling": 1.0147718705241633, + "fos_yielding": 1.688800214990174, + "deflection": 0.006970598322165314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2959": { + "node_id": "node_2959", + "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 232.20 kg\n Factor of Safety: 1.03\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.20137226114915, + "fos_buckling": 1.0286183312759016, + "fos_yielding": 1.6896312245601415, + "deflection": 0.006682330210071942, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.269)" + }, + "parent_node_id": "node_2958", + "improvement_over_parent": null + }, + "node_2960": { + "node_id": "node_2960", + "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 238.84 kg\n Factor of Safety: 1.02\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.83859930500958, + "fos_buckling": 1.0223096836545962, + "fos_yielding": 1.6884656669851241, + "deflection": 0.006547417865581656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.560)" + }, + "parent_node_id": "node_2959", + "improvement_over_parent": null + }, + "node_2961": { + "node_id": "node_2961", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.62 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.62363383459575, + "fos_buckling": 1.2302500223262987, + "fos_yielding": 2.1221756413857964, + "deflection": 0.005226096367880145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_2960", + "improvement_over_parent": null + }, + "node_2962": { + "node_id": "node_2962", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4278898137363, + "fos_buckling": 1.5137253910993975, + "fos_yielding": 2.187080755895034, + "deflection": 0.005154735533577726, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_2961", + "improvement_over_parent": null + }, + "node_2963": { + "node_id": "node_2963", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2962", + "improvement_over_parent": null + }, + "node_2964": { + "node_id": "node_2964", + "content": "INITIAL DESIGN (Trace 423)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 232.46 kg\n Factor of Safety: 0.79\n Max Deflection: 7.88e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.4553517665116, + "fos_buckling": 0.7907517861826985, + "fos_yielding": 1.7881483000261216, + "deflection": 0.00787696320304428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2965": { + "node_id": "node_2965", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.09 kg\n Factor of Safety: 0.93\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.0911559475357, + "fos_buckling": 0.9279026713339248, + "fos_yielding": 2.1525384705153936, + "deflection": 0.006555266582526096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_2964", + "improvement_over_parent": null + }, + "node_2966": { + "node_id": "node_2966", + "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.63 kg\n Factor of Safety: 0.93\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.6329865903549, + "fos_buckling": 0.9279805106687694, + "fos_yielding": 2.161413210138591, + "deflection": 0.006528517811226128, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.263)" + }, + "parent_node_id": "node_2965", + "improvement_over_parent": null + }, + "node_2967": { + "node_id": "node_2967", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 297.75 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.75094182192936, + "fos_buckling": 0.8891646444076196, + "fos_yielding": 2.15853371142858, + "deflection": 0.006520497660582052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_2966", + "improvement_over_parent": null + }, + "node_2968": { + "node_id": "node_2968", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.33 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3251414869056, + "fos_buckling": 1.5137424925146707, + "fos_yielding": 2.1862512433751635, + "deflection": 0.005156229485738552, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_2967", + "improvement_over_parent": null + }, + "node_2969": { + "node_id": "node_2969", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2968", + "improvement_over_parent": null + }, + "node_2970": { + "node_id": "node_2970", + "content": "INITIAL DESIGN (Trace 424)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 249.73 kg\n Factor of Safety: 0.45\n Max Deflection: 8.63e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.73244181869998, + "fos_buckling": 0.4513920316911822, + "fos_yielding": 1.7344831220779984, + "deflection": 0.008629530112443433, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2971": { + "node_id": "node_2971", + "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 255.17 kg\n Factor of Safety: 0.46\n Max Deflection: 8.61e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.17353577420985, + "fos_buckling": 0.45918214618753844, + "fos_yielding": 1.7396570200877182, + "deflection": 0.008609410918791591, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.475)" + }, + "parent_node_id": "node_2970", + "improvement_over_parent": null + }, + "node_2972": { + "node_id": "node_2972", + "content": "MODIFICATION: Increase 5 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 259.14 kg\n Factor of Safety: 0.64\n Max Deflection: 8.34e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.136164309643, + "fos_buckling": 0.639653625174653, + "fos_yielding": 1.7226806721385886, + "deflection": 0.008335420315314302, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.597)" + }, + "parent_node_id": "node_2971", + "improvement_over_parent": null + }, + "node_2973": { + "node_id": "node_2973", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n\nPerformance:\n Mass: 264.03 kg\n Factor of Safety: 1.11\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.03268369837065, + "fos_buckling": 1.109656127293869, + "fos_yielding": 1.8654628986706403, + "deflection": 0.005933642874653122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002887)" + }, + "parent_node_id": "node_2972", + "improvement_over_parent": null + }, + "node_2974": { + "node_id": "node_2974", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 300.56 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.56115160492124, + "fos_buckling": 1.2298939623735177, + "fos_yielding": 2.121728159892285, + "deflection": 0.005226888620502459, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_2973", + "improvement_over_parent": null + }, + "node_2975": { + "node_id": "node_2975", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.37 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.36540758406176, + "fos_buckling": 1.5139045033975285, + "fos_yielding": 2.1866276966698543, + "deflection": 0.005155495118974787, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_2974", + "improvement_over_parent": null + }, + "node_2976": { + "node_id": "node_2976", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2975", + "improvement_over_parent": null + }, + "node_2977": { + "node_id": "node_2977", + "content": "INITIAL DESIGN (Trace 425)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 211.49 kg\n Factor of Safety: 0.24\n Max Deflection: 2.98e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.48532230207047, + "fos_buckling": 0.2406168345690426, + "fos_yielding": 0.7528319480698531, + "deflection": 0.029780472123894168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2978": { + "node_id": "node_2978", + "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 214.84 kg\n Factor of Safety: 0.26\n Max Deflection: 2.88e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.84324884495365, + "fos_buckling": 0.2556639683420556, + "fos_yielding": 0.7529155440078655, + "deflection": 0.02882175851325595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.271)" + }, + "parent_node_id": "node_2977", + "improvement_over_parent": null + }, + "node_2979": { + "node_id": "node_2979", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n\nPerformance:\n Mass: 244.74 kg\n Factor of Safety: 0.75\n Max Deflection: 7.91e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.73752786959443, + "fos_buckling": 0.7540936114733386, + "fos_yielding": 1.776302931172455, + "deflection": 0.007909308002063768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004842)" + }, + "parent_node_id": "node_2978", + "improvement_over_parent": null + }, + "node_2980": { + "node_id": "node_2980", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 249.32 kg\n Factor of Safety: 1.29\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.317872282879, + "fos_buckling": 1.2885186532743882, + "fos_yielding": 1.799190001622345, + "deflection": 0.006247509354213435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002686)" + }, + "parent_node_id": "node_2979", + "improvement_over_parent": null + }, + "node_2981": { + "node_id": "node_2981", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3550751483815, + "fos_buckling": 1.5138005585181802, + "fos_yielding": 2.186453202580495, + "deflection": 0.005155789480110254, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_2980", + "improvement_over_parent": null + }, + "node_2982": { + "node_id": "node_2982", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2981", + "improvement_over_parent": null + }, + "node_2983": { + "node_id": "node_2983", + "content": "INITIAL DESIGN (Trace 426)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 172.12 kg\n Factor of Safety: 0.19\n Max Deflection: 3.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.11898144724577, + "fos_buckling": 0.18675617383799176, + "fos_yielding": 0.9814594037362832, + "deflection": 0.03788513445582115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2984": { + "node_id": "node_2984", + "content": "MODIFICATION: Increase 3 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 176.13 kg\n Factor of Safety: 0.19\n Max Deflection: 3.78e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.1303252087691, + "fos_buckling": 0.18670049815223824, + "fos_yielding": 0.9813519879280873, + "deflection": 0.03776775639446974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.600)" + }, + "parent_node_id": "node_2983", + "improvement_over_parent": null + }, + "node_2985": { + "node_id": "node_2985", + "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 177.70 kg\n Factor of Safety: 0.19\n Max Deflection: 3.77e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.700670964929, + "fos_buckling": 0.18670049815223805, + "fos_yielding": 0.9813519879280872, + "deflection": 0.03768260775953513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.362)" + }, + "parent_node_id": "node_2984", + "improvement_over_parent": null + }, + "node_2986": { + "node_id": "node_2986", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 206.62 kg\n Factor of Safety: 0.21\n Max Deflection: 3.25e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.62265181160896, + "fos_buckling": 0.21256354471734282, + "fos_yielding": 1.1395989661512629, + "deflection": 0.03249711354556111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_2985", + "improvement_over_parent": null + }, + "node_2987": { + "node_id": "node_2987", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 235.67 kg\n Factor of Safety: 0.24\n Max Deflection: 2.86e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.6688358588875, + "fos_buckling": 0.23729444292346288, + "fos_yielding": 1.2981143682119487, + "deflection": 0.028570320128096575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_2986", + "improvement_over_parent": null + }, + "node_2988": { + "node_id": "node_2988", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n\nPerformance:\n Mass: 258.04 kg\n Factor of Safety: 1.09\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.041860412366, + "fos_buckling": 1.0892059872758244, + "fos_yielding": 1.823549856731297, + "deflection": 0.006069141313508019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004611)" + }, + "parent_node_id": "node_2987", + "improvement_over_parent": null + }, + "node_2989": { + "node_id": "node_2989", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 300.79 kg\n Factor of Safety: 1.23\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.79201054095927, + "fos_buckling": 1.2306352651103551, + "fos_yielding": 2.1235263214195177, + "deflection": 0.005223381126002003, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_2988", + "improvement_over_parent": null + }, + "node_2990": { + "node_id": "node_2990", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5962665200998, + "fos_buckling": 1.5148163447678595, + "fos_yielding": 2.1885048302482355, + "deflection": 0.005151973091693695, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_2989", + "improvement_over_parent": null + }, + "node_2991": { + "node_id": "node_2991", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2990", + "improvement_over_parent": null + }, + "node_2992": { + "node_id": "node_2992", + "content": "INITIAL DESIGN (Trace 427)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 214.23 kg\n Factor of Safety: 0.06\n Max Deflection: 4.15e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.22912309192472, + "fos_buckling": 0.0577154668698334, + "fos_yielding": 0.2972141903878837, + "deflection": 41499421399017.66, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2993": { + "node_id": "node_2993", + "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 219.77 kg\n Factor of Safety: 0.46\n Max Deflection: 4.37e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.76760335343175, + "fos_buckling": 0.4617237349586672, + "fos_yielding": 1.855891920852291, + "deflection": 4371300478684.9927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.323)" + }, + "parent_node_id": "node_2992", + "improvement_over_parent": null + }, + "node_2994": { + "node_id": "node_2994", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 242.99 kg\n Factor of Safety: 0.96\n Max Deflection: 4.57e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.99112373457973, + "fos_buckling": 0.9609063699072129, + "fos_yielding": 1.5755481439972643, + "deflection": 4571342050603.763, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_2993", + "improvement_over_parent": null + }, + "node_2995": { + "node_id": "node_2995", + "content": "MODIFICATION: Increase 4 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 245.45 kg\n Factor of Safety: 0.96\n Max Deflection: 4.57e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.45315003196825, + "fos_buckling": 0.9609063699072129, + "fos_yielding": 2.032833947995909, + "deflection": 4571342050603.763, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.562)" + }, + "parent_node_id": "node_2994", + "improvement_over_parent": null + }, + "node_2996": { + "node_id": "node_2996", + "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 247.82 kg\n Factor of Safety: 0.96\n Max Deflection: 4.57e+12 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.82169988535097, + "fos_buckling": 0.9609063699072129, + "fos_yielding": 2.032833947995909, + "deflection": 4571342050603.763, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.364)" + }, + "parent_node_id": "node_2995", + "improvement_over_parent": null + }, + "node_2997": { + "node_id": "node_2997", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 264.94 kg\n Factor of Safety: 0.96\n Max Deflection: 3.69e+12 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.93965511692545, + "fos_buckling": 0.9609063699072129, + "fos_yielding": 2.1114616121380343, + "deflection": 3693580398481.3823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_2996", + "improvement_over_parent": null + }, + "node_2998": { + "node_id": "node_2998", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 290.73 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.7302826593394, + "fos_buckling": 1.0757899113593885, + "fos_yielding": 2.3950779160317692, + "deflection": 0.005580417815437067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_2997", + "improvement_over_parent": null + }, + "node_2999": { + "node_id": "node_2999", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.418653917828, + "fos_buckling": 1.5140349156539676, + "fos_yielding": 2.186943921256453, + "deflection": 0.005154821319806302, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_2998", + "improvement_over_parent": null + }, + "node_3000": { + "node_id": "node_3000", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2999", + "improvement_over_parent": null + }, + "node_3001": { + "node_id": "node_3001", + "content": "INITIAL DESIGN (Trace 428)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 212.61 kg\n Factor of Safety: 0.26\n Max Deflection: 3.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.61315050431864, + "fos_buckling": 0.26210284123818683, + "fos_yielding": 0.7546789929473187, + "deflection": 0.030080167106728117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3002": { + "node_id": "node_3002", + "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 215.84 kg\n Factor of Safety: 0.26\n Max Deflection: 2.99e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.83503238993586, + "fos_buckling": 0.2621028412381869, + "fos_yielding": 0.7753497142872646, + "deflection": 0.029910863190246405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.605)" + }, + "parent_node_id": "node_3001", + "improvement_over_parent": null + }, + "node_3003": { + "node_id": "node_3003", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 220.55 kg\n Factor of Safety: 0.43\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.55110871851087, + "fos_buckling": 0.4303085658862678, + "fos_yielding": 1.4209831673947684, + "deflection": 0.011500444011232272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002772)" + }, + "parent_node_id": "node_3002", + "improvement_over_parent": null + }, + "node_3004": { + "node_id": "node_3004", + "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 225.95 kg\n Factor of Safety: 0.43\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.9527849245049, + "fos_buckling": 0.4300489037504507, + "fos_yielding": 1.420595939408111, + "deflection": 0.011179005078076365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.330)" + }, + "parent_node_id": "node_3003", + "improvement_over_parent": null + }, + "node_3005": { + "node_id": "node_3005", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 267.10 kg\n Factor of Safety: 0.49\n Max Deflection: 9.48e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.09534268034275, + "fos_buckling": 0.4931218850356755, + "fos_yielding": 1.6763131102037125, + "deflection": 0.009484560161207873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_3004", + "improvement_over_parent": null + }, + "node_3006": { + "node_id": "node_3006", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.48 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4777401358219, + "fos_buckling": 1.5141393446418525, + "fos_yielding": 2.1873896031359, + "deflection": 0.005153446840267943, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_3005", + "improvement_over_parent": null + }, + "node_3007": { + "node_id": "node_3007", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3006", + "improvement_over_parent": null + }, + "node_3008": { + "node_id": "node_3008", + "content": "INITIAL DESIGN (Trace 429)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 153.87 kg\n Factor of Safety: 0.23\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.87344619181056, + "fos_buckling": 0.23272674889332248, + "fos_yielding": 0.9396401431246876, + "deflection": 0.018109717525478655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3009": { + "node_id": "node_3009", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 185.64 kg\n Factor of Safety: 0.28\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.63603134305328, + "fos_buckling": 0.2772335500123476, + "fos_yielding": 1.13598144695621, + "deflection": 0.015024492848327372, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_3008", + "improvement_over_parent": null + }, + "node_3010": { + "node_id": "node_3010", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 237.98 kg\n Factor of Safety: 0.35\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.98410882663026, + "fos_buckling": 0.34794768164093953, + "fos_yielding": 1.4620475476972303, + "deflection": 0.011735592001604768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_3009", + "improvement_over_parent": null + }, + "node_3011": { + "node_id": "node_3011", + "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 243.73 kg\n Factor of Safety: 0.49\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.7318206761446, + "fos_buckling": 0.4939495759449366, + "fos_yielding": 1.470202043723934, + "deflection": 0.010660731141780528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.555)" + }, + "parent_node_id": "node_3010", + "improvement_over_parent": null + }, + "node_3012": { + "node_id": "node_3012", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 280.11 kg\n Factor of Safety: 1.13\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.1142181316237, + "fos_buckling": 1.1344725303300127, + "fos_yielding": 2.2244582519112184, + "deflection": 0.0060268261688166385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_3011", + "improvement_over_parent": null + }, + "node_3013": { + "node_id": "node_3013", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3377385127717, + "fos_buckling": 1.5139237700678463, + "fos_yielding": 2.186352352630471, + "deflection": 0.0051559150837486, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_3012", + "improvement_over_parent": null + }, + "node_3014": { + "node_id": "node_3014", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3013", + "improvement_over_parent": null + }, + "node_3015": { + "node_id": "node_3015", + "content": "INITIAL DESIGN (Trace 430)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 194.50 kg\n Factor of Safety: 0.66\n Max Deflection: 8.10e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.50276562041958, + "fos_buckling": 0.6579383452921338, + "fos_yielding": 1.4877669377188918, + "deflection": 0.008099928702761454, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3016": { + "node_id": "node_3016", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 234.58 kg\n Factor of Safety: 0.77\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.57764167720225, + "fos_buckling": 0.7740409667852624, + "fos_yielding": 1.7926588235171175, + "deflection": 0.006734824947780918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_3015", + "improvement_over_parent": null + }, + "node_3017": { + "node_id": "node_3017", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.07 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.06669352386325, + "fos_buckling": 0.9056552219671398, + "fos_yielding": 2.1608200797955828, + "deflection": 0.005599881624331379, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_3016", + "improvement_over_parent": null + }, + "node_3018": { + "node_id": "node_3018", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.38 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3800284058901, + "fos_buckling": 1.5139225016084266, + "fos_yielding": 2.1866737463366395, + "deflection": 0.0051553394971967535, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_3017", + "improvement_over_parent": null + }, + "node_3019": { + "node_id": "node_3019", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3018", + "improvement_over_parent": null + }, + "node_3020": { + "node_id": "node_3020", + "content": "INITIAL DESIGN (Trace 431)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 247.93 kg\n Factor of Safety: 0.45\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.93204946063724, + "fos_buckling": 0.44639549185421473, + "fos_yielding": 1.372205259789779, + "deflection": 0.013061070043604727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3021": { + "node_id": "node_3021", + "content": "MODIFICATION: Increase 10 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 252.92 kg\n Factor of Safety: 0.45\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.91949113068046, + "fos_buckling": 0.44614697954983257, + "fos_yielding": 1.3716381104345619, + "deflection": 0.012818686753498787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.357)" + }, + "parent_node_id": "node_3020", + "improvement_over_parent": null + }, + "node_3022": { + "node_id": "node_3022", + "content": "MODIFICATION: Increase 12 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 258.93 kg\n Factor of Safety: 0.45\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.92866167758723, + "fos_buckling": 0.44604724987380723, + "fos_yielding": 1.4233149690224918, + "deflection": 0.012719566225247487, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.548)" + }, + "parent_node_id": "node_3021", + "improvement_over_parent": null + }, + "node_3023": { + "node_id": "node_3023", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 264.50 kg\n Factor of Safety: 0.45\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.50286134256345, + "fos_buckling": 0.4456775960217365, + "fos_yielding": 1.4222221686310075, + "deflection": 0.010990588670920244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_3022", + "improvement_over_parent": null + }, + "node_3024": { + "node_id": "node_3024", + "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0078)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 276.93 kg\n Factor of Safety: 0.45\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.9254572491112, + "fos_buckling": 0.44526641396938627, + "fos_yielding": 1.4210064426057705, + "deflection": 0.010783319257605792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.597)" + }, + "parent_node_id": "node_3023", + "improvement_over_parent": null + }, + "node_3025": { + "node_id": "node_3025", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0078)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.01 kg\n Factor of Safety: 1.22\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.01324953188737, + "fos_buckling": 1.2178018219529703, + "fos_yielding": 2.1860629595723564, + "deflection": 0.005435738512622645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_3024", + "improvement_over_parent": null + }, + "node_3026": { + "node_id": "node_3026", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3025", + "improvement_over_parent": null + }, + "node_3027": { + "node_id": "node_3027", + "content": "INITIAL DESIGN (Trace 432)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 217.98 kg\n Factor of Safety: 0.44\n Max Deflection: 8.67e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.97870253443799, + "fos_buckling": 0.4429351012999546, + "fos_yielding": 1.17870029867088, + "deflection": 0.008665363656167007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3028": { + "node_id": "node_3028", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 273.45 kg\n Factor of Safety: 0.53\n Max Deflection: 6.95e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.4481396291328, + "fos_buckling": 0.5318536292351508, + "fos_yielding": 1.4816714874976806, + "deflection": 0.006946338404198546, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_3027", + "improvement_over_parent": null + }, + "node_3029": { + "node_id": "node_3029", + "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 275.55 kg\n Factor of Safety: 0.53\n Max Deflection: 6.74e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.54528447524183, + "fos_buckling": 0.5318536292351509, + "fos_yielding": 1.8472059115899955, + "deflection": 0.006739596095626117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.271)" + }, + "parent_node_id": "node_3028", + "improvement_over_parent": null + }, + "node_3030": { + "node_id": "node_3030", + "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.56 kg\n Factor of Safety: 0.53\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.55979850919124, + "fos_buckling": 0.5318536292351504, + "fos_yielding": 1.8472059115899948, + "deflection": 0.0067052060826271334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.295)" + }, + "parent_node_id": "node_3029", + "improvement_over_parent": null + }, + "node_3031": { + "node_id": "node_3031", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3504260516052, + "fos_buckling": 1.5137150168738858, + "fos_yielding": 2.186765228558083, + "deflection": 0.005155887267947507, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_3030", + "improvement_over_parent": null + }, + "node_3032": { + "node_id": "node_3032", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3031", + "improvement_over_parent": null + }, + "node_3033": { + "node_id": "node_3033", + "content": "INITIAL DESIGN (Trace 433)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 166.57 kg\n Factor of Safety: 0.68\n Max Deflection: 1.00e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.56953755627896, + "fos_buckling": 0.6788777823763535, + "fos_yielding": 1.6626296461603562, + "deflection": 10009450677062.719, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3034": { + "node_id": "node_3034", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 207.47 kg\n Factor of Safety: 0.02\n Max Deflection: 4.79e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.47035815471952, + "fos_buckling": 0.018947606002483592, + "fos_yielding": 0.11884768152032246, + "deflection": 479036945479256.44, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_3033", + "improvement_over_parent": null + }, + "node_3035": { + "node_id": "node_3035", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n\nPerformance:\n Mass: 217.74 kg\n Factor of Safety: 0.23\n Max Deflection: 3.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.7405631742578, + "fos_buckling": 0.2260949191666703, + "fos_yielding": 1.225213258406854, + "deflection": 0.031743970227845274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003021)" + }, + "parent_node_id": "node_3034", + "improvement_over_parent": null + }, + "node_3036": { + "node_id": "node_3036", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 269.10 kg\n Factor of Safety: 0.27\n Max Deflection: 2.58e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.09939979497017, + "fos_buckling": 0.2686948318913223, + "fos_yielding": 1.5107578050009072, + "deflection": 0.02582895358079067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_3035", + "improvement_over_parent": null + }, + "node_3037": { + "node_id": "node_3037", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 271.90 kg\n Factor of Safety: 0.45\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 271.9036557741107, + "fos_buckling": 0.44582530021243777, + "fos_yielding": 1.4220607146290327, + "deflection": 0.013189087461190322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_3036", + "improvement_over_parent": null + }, + "node_3038": { + "node_id": "node_3038", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n\nPerformance:\n Mass: 290.17 kg\n Factor of Safety: 0.86\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.171654093966, + "fos_buckling": 0.8628295246571835, + "fos_yielding": 2.158811226917032, + "deflection": 0.006642553676189602, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003710)" + }, + "parent_node_id": "node_3037", + "improvement_over_parent": null + }, + "node_3039": { + "node_id": "node_3039", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 295.75 kg\n Factor of Safety: 1.24\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.74585375894225, + "fos_buckling": 1.2379929401746361, + "fos_yielding": 2.1835895201146274, + "deflection": 0.00543578776309194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_3038", + "improvement_over_parent": null + }, + "node_3040": { + "node_id": "node_3040", + "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0064)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 299.63 kg\n Factor of Safety: 1.24\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.63140612130456, + "fos_buckling": 1.240308908304659, + "fos_yielding": 2.1834262462864413, + "deflection": 0.0053738079023045605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.471)" + }, + "parent_node_id": "node_3039", + "improvement_over_parent": null + }, + "node_3041": { + "node_id": "node_3041", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3040", + "improvement_over_parent": null + }, + "node_3042": { + "node_id": "node_3042", + "content": "INITIAL DESIGN (Trace 434)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 155.92 kg\n Factor of Safety: 0.89\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.92489928479378, + "fos_buckling": 0.8945280951565766, + "fos_yielding": 1.1447648129956547, + "deflection": 0.010043457377463564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3043": { + "node_id": "node_3043", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 179.19 kg\n Factor of Safety: 1.01\n Max Deflection: 8.75e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.1926941760488, + "fos_buckling": 1.0144681710895744, + "fos_yielding": 1.3147648165011998, + "deflection": 0.008754037493771238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_3042", + "improvement_over_parent": null + }, + "node_3044": { + "node_id": "node_3044", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 200.50 kg\n Factor of Safety: 1.12\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.5033401914799, + "fos_buckling": 1.1196312234073427, + "fos_yielding": 1.4702746515357759, + "deflection": 0.007835622871420424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_3043", + "improvement_over_parent": null + }, + "node_3045": { + "node_id": "node_3045", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 260.97 kg\n Factor of Safety: 1.40\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.970513024307, + "fos_buckling": 1.400420654378774, + "fos_yielding": 1.9105193732978263, + "deflection": 0.006046208269322058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_3044", + "improvement_over_parent": null + }, + "node_3046": { + "node_id": "node_3046", + "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 264.84 kg\n Factor of Safety: 1.36\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.83691489200856, + "fos_buckling": 1.3553338678333795, + "fos_yielding": 1.9106338285370132, + "deflection": 0.005888458489420315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.227)" + }, + "parent_node_id": "node_3045", + "improvement_over_parent": null + }, + "node_3047": { + "node_id": "node_3047", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.40648554965424, + "fos_buckling": 1.5142048593685504, + "fos_yielding": 2.186964702336575, + "deflection": 0.005155006904879019, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_3046", + "improvement_over_parent": null + }, + "node_3048": { + "node_id": "node_3048", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3047", + "improvement_over_parent": null + }, + "node_3049": { + "node_id": "node_3049", + "content": "INITIAL DESIGN (Trace 435)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 218.41 kg\n Factor of Safety: 0.73\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.4092905548851, + "fos_buckling": 0.7279973848080679, + "fos_yielding": 1.6697163675608322, + "deflection": 0.007225296562346942, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3050": { + "node_id": "node_3050", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 252.03 kg\n Factor of Safety: 0.82\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.0271381574047, + "fos_buckling": 0.8225218419712638, + "fos_yielding": 1.9252410346223936, + "deflection": 0.006276097374085287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_3049", + "improvement_over_parent": null + }, + "node_3051": { + "node_id": "node_3051", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 282.99 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.9922288867212, + "fos_buckling": 0.9054605385438761, + "fos_yielding": 2.1602553196843477, + "deflection": 0.005601326374207803, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_3050", + "improvement_over_parent": null + }, + "node_3052": { + "node_id": "node_3052", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.31 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.305563768748, + "fos_buckling": 1.513600262132611, + "fos_yielding": 2.186104374354186, + "deflection": 0.0051566318889296565, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_3051", + "improvement_over_parent": null + }, + "node_3053": { + "node_id": "node_3053", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3052", + "improvement_over_parent": null + }, + "node_3054": { + "node_id": "node_3054", + "content": "INITIAL DESIGN (Trace 436)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n\nPerformance:\n Mass: 138.01 kg\n Factor of Safety: 0.45\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.00892856682188, + "fos_buckling": 0.45160426925050545, + "fos_yielding": 1.0041005934949738, + "deflection": 0.01394127511192056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3055": { + "node_id": "node_3055", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 164.35 kg\n Factor of Safety: 0.53\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.347172946382, + "fos_buckling": 0.5300474368772913, + "fos_yielding": 1.1950191039459814, + "deflection": 0.011724546644023358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_3054", + "improvement_over_parent": null + }, + "node_3056": { + "node_id": "node_3056", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 210.69 kg\n Factor of Safety: 0.66\n Max Deflection: 9.17e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.69463810919453, + "fos_buckling": 0.6620510153503941, + "fos_yielding": 1.5304299816163855, + "deflection": 0.009169461581114993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_3055", + "improvement_over_parent": null + }, + "node_3057": { + "node_id": "node_3057", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 254.38 kg\n Factor of Safety: 0.78\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.3774093790596, + "fos_buckling": 0.7794177016664915, + "fos_yielding": 1.8459177573936347, + "deflection": 0.0076135917607871, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_3056", + "improvement_over_parent": null + }, + "node_3058": { + "node_id": "node_3058", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.46 kg\n Factor of Safety: 0.89\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.45724655974925, + "fos_buckling": 0.8884615894285696, + "fos_yielding": 2.156445460195314, + "deflection": 0.0065267506505913234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_3057", + "improvement_over_parent": null + }, + "node_3059": { + "node_id": "node_3059", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.03 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.03144622472547, + "fos_buckling": 1.5126031544413925, + "fos_yielding": 2.1841435211420124, + "deflection": 0.005161000429294292, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_3058", + "improvement_over_parent": null + }, + "node_3060": { + "node_id": "node_3060", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3059", + "improvement_over_parent": null + }, + "node_3061": { + "node_id": "node_3061", + "content": "INITIAL DESIGN (Trace 437)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 156.60 kg\n Factor of Safety: 0.18\n Max Deflection: 2.69e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.60364770978626, + "fos_buckling": 0.1826331945957787, + "fos_yielding": 0.5944283807757674, + "deflection": 26882160625888.59, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3062": { + "node_id": "node_3062", + "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 157.20 kg\n Factor of Safety: 0.65\n Max Deflection: 1.44e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.19838880421258, + "fos_buckling": 0.652906804343909, + "fos_yielding": 1.3366809990503725, + "deflection": 14421728122339.67, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.203)" + }, + "parent_node_id": "node_3061", + "improvement_over_parent": null + }, + "node_3063": { + "node_id": "node_3063", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 188.57 kg\n Factor of Safety: 0.09\n Max Deflection: 1.44e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.5739922431763, + "fos_buckling": 0.09477230451820581, + "fos_yielding": 0.45362654612419245, + "deflection": 143515057719280.22, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_3062", + "improvement_over_parent": null + }, + "node_3064": { + "node_id": "node_3064", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 237.11 kg\n Factor of Safety: 0.92\n Max Deflection: 6.77e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.1068996481765, + "fos_buckling": 0.9177592991108191, + "fos_yielding": 2.3233000540565114, + "deflection": 6766643701902.922, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_3063", + "improvement_over_parent": null + }, + "node_3065": { + "node_id": "node_3065", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 273.49 kg\n Factor of Safety: 1.09\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.48929710365564, + "fos_buckling": 1.0919852955168003, + "fos_yielding": 2.193049079005118, + "deflection": 0.0060558250940939765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_3064", + "improvement_over_parent": null + }, + "node_3066": { + "node_id": "node_3066", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 297.83 kg\n Factor of Safety: 1.36\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.83042510903255, + "fos_buckling": 1.3595673522129441, + "fos_yielding": 2.1904181929747666, + "deflection": 0.005218872933504429, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_3065", + "improvement_over_parent": null + }, + "node_3067": { + "node_id": "node_3067", + "content": "MODIFICATION: Increase 13 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0068)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 305.77 kg\n Factor of Safety: 1.37\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.77228850277356, + "fos_buckling": 1.3711686561631826, + "fos_yielding": 2.21041379677398, + "deflection": 0.005157218779811148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.351)" + }, + "parent_node_id": "node_3066", + "improvement_over_parent": null + }, + "node_3068": { + "node_id": "node_3068", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3067", + "improvement_over_parent": null + }, + "node_3069": { + "node_id": "node_3069", + "content": "INITIAL DESIGN (Trace 438)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 290.19 kg\n Factor of Safety: 0.92\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.19447237988777, + "fos_buckling": 0.9170991784942456, + "fos_yielding": 1.9149237014642222, + "deflection": 0.006578646107478214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3070": { + "node_id": "node_3070", + "content": "MODIFICATION: Increase 2 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.30 kg\n Factor of Safety: 0.92\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.29687128747616, + "fos_buckling": 0.919364160025947, + "fos_yielding": 1.9165681632760683, + "deflection": 0.006531506802207149, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.321)" + }, + "parent_node_id": "node_3069", + "improvement_over_parent": null + }, + "node_3071": { + "node_id": "node_3071", + "content": "MODIFICATION: Increase 6 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.83 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.82701849708076, + "fos_buckling": 0.8894421267423548, + "fos_yielding": 2.15919351792228, + "deflection": 0.0065185533333970685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.647)" + }, + "parent_node_id": "node_3070", + "improvement_over_parent": null + }, + "node_3072": { + "node_id": "node_3072", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.401218162057, + "fos_buckling": 1.5139535281482859, + "fos_yielding": 2.186917108757149, + "deflection": 0.005154976052258571, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_3071", + "improvement_over_parent": null + }, + "node_3073": { + "node_id": "node_3073", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3072", + "improvement_over_parent": null + }, + "node_3074": { + "node_id": "node_3074", + "content": "INITIAL DESIGN (Trace 439)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 206.19 kg\n Factor of Safety: 0.36\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.18926542355175, + "fos_buckling": 0.36100119017193055, + "fos_yielding": 1.1086839658870287, + "deflection": 0.01793239889012145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3075": { + "node_id": "node_3075", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 210.51 kg\n Factor of Safety: 0.36\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.50889398289354, + "fos_buckling": 0.3607684810067873, + "fos_yielding": 1.1080208515208971, + "deflection": 0.013905449456653625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002522)" + }, + "parent_node_id": "node_3074", + "improvement_over_parent": null + }, + "node_3076": { + "node_id": "node_3076", + "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 215.21 kg\n Factor of Safety: 0.36\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.21020732548484, + "fos_buckling": 0.36057874968151216, + "fos_yielding": 1.1076144284153837, + "deflection": 0.013676769050772428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.328)" + }, + "parent_node_id": "node_3075", + "improvement_over_parent": null + }, + "node_3077": { + "node_id": "node_3077", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 277.65 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.6522429175006, + "fos_buckling": 0.44523503647710294, + "fos_yielding": 1.4211934511497126, + "deflection": 0.010659762239003542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_3076", + "improvement_over_parent": null + }, + "node_3078": { + "node_id": "node_3078", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.74 kg\n Factor of Safety: 1.47\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.74003520027674, + "fos_buckling": 1.4659354064498566, + "fos_yielding": 2.1894496427931904, + "deflection": 0.005190819096029674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_3077", + "improvement_over_parent": null + }, + "node_3079": { + "node_id": "node_3079", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3078", + "improvement_over_parent": null + }, + "node_3080": { + "node_id": "node_3080", + "content": "INITIAL DESIGN (Trace 440)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 193.61 kg\n Factor of Safety: 0.40\n Max Deflection: 9.36e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.6134005441499, + "fos_buckling": 0.404678422100766, + "fos_yielding": 1.3262169019208354, + "deflection": 0.009361536270874056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3081": { + "node_id": "node_3081", + "content": "MODIFICATION: Increase 11 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 198.68 kg\n Factor of Safety: 0.40\n Max Deflection: 9.29e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.68246808750118, + "fos_buckling": 0.4045272795226169, + "fos_yielding": 1.3261048069868253, + "deflection": 0.009285220614543885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.437)" + }, + "parent_node_id": "node_3080", + "improvement_over_parent": null + }, + "node_3082": { + "node_id": "node_3082", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 217.14 kg\n Factor of Safety: 1.15\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.14157757326296, + "fos_buckling": 1.1453622036302296, + "fos_yielding": 1.5682205473931665, + "deflection": 0.007155532341278385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003516)" + }, + "parent_node_id": "node_3081", + "improvement_over_parent": null + }, + "node_3083": { + "node_id": "node_3083", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 251.39 kg\n Factor of Safety: 1.30\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.39464862879578, + "fos_buckling": 1.2975241860424842, + "fos_yielding": 1.8141810615109772, + "deflection": 0.006196761902213393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_3082", + "improvement_over_parent": null + }, + "node_3084": { + "node_id": "node_3084", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.36027564351036, + "fos_buckling": 1.5138201064660881, + "fos_yielding": 2.186596604111874, + "deflection": 0.005155606520115275, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_3083", + "improvement_over_parent": null + }, + "node_3085": { + "node_id": "node_3085", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3084", + "improvement_over_parent": null + }, + "node_3086": { + "node_id": "node_3086", + "content": "INITIAL DESIGN (Trace 441)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 256.58 kg\n Factor of Safety: 1.16\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.57952707574935, + "fos_buckling": 1.1617753532681547, + "fos_yielding": 1.938260284145383, + "deflection": 0.006156220354507005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3087": { + "node_id": "node_3087", + "content": "MODIFICATION: Increase 15 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 264.70 kg\n Factor of Safety: 1.40\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.697830432354, + "fos_buckling": 1.3955866341965948, + "fos_yielding": 1.9685989133426371, + "deflection": 0.006036406814971281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.577)" + }, + "parent_node_id": "node_3086", + "improvement_over_parent": null + }, + "node_3088": { + "node_id": "node_3088", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 291.76 kg\n Factor of Safety: 1.51\n Max Deflection: 5.49e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 291.7635005567695, + "fos_buckling": 1.5100501823374959, + "fos_yielding": 2.168023447261352, + "deflection": 0.005486177835024928, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_3087", + "improvement_over_parent": null + }, + "node_3089": { + "node_id": "node_3089", + "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 296.64 kg\n Factor of Safety: 1.51\n Max Deflection: 5.42e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 296.6404301995363, + "fos_buckling": 1.5094090466110086, + "fos_yielding": 2.190348043854731, + "deflection": 0.0054151165233537035, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.404)" + }, + "parent_node_id": "node_3088", + "improvement_over_parent": null + }, + "node_3090": { + "node_id": "node_3090", + "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.26615874951506, + "fos_buckling": 1.5135635121970188, + "fos_yielding": 2.185983249379049, + "deflection": 0.005157211349423511, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.353)" + }, + "parent_node_id": "node_3089", + "improvement_over_parent": null + }, + "node_3091": { + "node_id": "node_3091", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3090", + "improvement_over_parent": null + }, + "node_3092": { + "node_id": "node_3092", + "content": "INITIAL DESIGN (Trace 442)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 277.76 kg\n Factor of Safety: 1.08\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.7610451899035, + "fos_buckling": 1.0782813175102395, + "fos_yielding": 2.395905482661271, + "deflection": 0.0058747924122502845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3093": { + "node_id": "node_3093", + "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 279.38 kg\n Factor of Safety: 1.08\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.3848747945752, + "fos_buckling": 1.0780260019809709, + "fos_yielding": 2.395905482661271, + "deflection": 0.005790241112165422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.451)" + }, + "parent_node_id": "node_3092", + "improvement_over_parent": null + }, + "node_3094": { + "node_id": "node_3094", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 297.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.38e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 297.4166414798049, + "fos_buckling": 1.5104173068848628, + "fos_yielding": 2.190798338204224, + "deflection": 0.005382004497259582, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_3093", + "improvement_over_parent": null + }, + "node_3095": { + "node_id": "node_3095", + "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.43493666513933, + "fos_buckling": 1.5140723656942434, + "fos_yielding": 2.1869281531132962, + "deflection": 0.005154136544661953, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.311)" + }, + "parent_node_id": "node_3094", + "improvement_over_parent": null + }, + "node_3096": { + "node_id": "node_3096", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3095", + "improvement_over_parent": null + }, + "node_3097": { + "node_id": "node_3097", + "content": "INITIAL DESIGN (Trace 443)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 213.41 kg\n Factor of Safety: 1.10\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.40810430035043, + "fos_buckling": 1.099746784881507, + "fos_yielding": 1.5850055667407157, + "deflection": 0.007234505735547247, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3098": { + "node_id": "node_3098", + "content": "MODIFICATION: Increase 11 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 219.44 kg\n Factor of Safety: 1.16\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.43935254702964, + "fos_buckling": 1.1558294252272379, + "fos_yielding": 1.5847009394411244, + "deflection": 0.007081896805839612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.555)" + }, + "parent_node_id": "node_3097", + "improvement_over_parent": null + }, + "node_3099": { + "node_id": "node_3099", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 271.61 kg\n Factor of Safety: 1.38\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 271.61393896754237, + "fos_buckling": 1.3837845810658234, + "fos_yielding": 1.9591511596142877, + "deflection": 0.0057443476930422975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_3098", + "improvement_over_parent": null + }, + "node_3100": { + "node_id": "node_3100", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4985667052728, + "fos_buckling": 1.514399592763066, + "fos_yielding": 2.1875447508360666, + "deflection": 0.005153344350386975, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_3099", + "improvement_over_parent": null + }, + "node_3101": { + "node_id": "node_3101", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3100", + "improvement_over_parent": null + }, + "node_3102": { + "node_id": "node_3102", + "content": "INITIAL DESIGN (Trace 444)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 177.75 kg\n Factor of Safety: 0.80\n Max Deflection: 8.93e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.74706171136, + "fos_buckling": 0.8002063497550356, + "fos_yielding": 1.3248792997925047, + "deflection": 0.008928627187698499, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3103": { + "node_id": "node_3103", + "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 180.09 kg\n Factor of Safety: 0.80\n Max Deflection: 8.85e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.09296339282182, + "fos_buckling": 0.8009697692549498, + "fos_yielding": 1.318073334819386, + "deflection": 0.008849526767630306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.280)" + }, + "parent_node_id": "node_3102", + "improvement_over_parent": null + }, + "node_3104": { + "node_id": "node_3104", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n\nPerformance:\n Mass: 181.83 kg\n Factor of Safety: 0.81\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.8315644698766, + "fos_buckling": 0.8071230968018944, + "fos_yielding": 1.359248968742567, + "deflection": 0.008727718575824555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001411)" + }, + "parent_node_id": "node_3103", + "improvement_over_parent": null + }, + "node_3105": { + "node_id": "node_3105", + "content": "MODIFICATION: Increase 10 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n\nPerformance:\n Mass: 187.53 kg\n Factor of Safety: 0.84\n Max Deflection: 8.57e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.53433304506763, + "fos_buckling": 0.8402222851076544, + "fos_yielding": 1.3590466266782584, + "deflection": 0.00857155523881835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.408)" + }, + "parent_node_id": "node_3104", + "improvement_over_parent": null + }, + "node_3106": { + "node_id": "node_3106", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n\nPerformance:\n Mass: 217.76 kg\n Factor of Safety: 0.96\n Max Deflection: 7.40e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.76215564515465, + "fos_buckling": 0.9637141025718792, + "fos_yielding": 1.5773430582308956, + "deflection": 0.007395103224498957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_3105", + "improvement_over_parent": null + }, + "node_3107": { + "node_id": "node_3107", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0055)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 246.44 kg\n Factor of Safety: 1.08\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.4433950934657, + "fos_buckling": 1.077808645581887, + "fos_yielding": 1.7842892976785034, + "deflection": 0.0065455669126562675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_3106", + "improvement_over_parent": null + }, + "node_3108": { + "node_id": "node_3108", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0069)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 302.42 kg\n Factor of Safety: 1.29\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 302.4221867407987, + "fos_buckling": 1.2918243427309246, + "fos_yielding": 2.187713026800273, + "deflection": 0.005351385388828787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_3107", + "improvement_over_parent": null + }, + "node_3109": { + "node_id": "node_3109", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3108", + "improvement_over_parent": null + }, + "node_3110": { + "node_id": "node_3110", + "content": "INITIAL DESIGN (Trace 445)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 143.15 kg\n Factor of Safety: 0.52\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.1450867414623, + "fos_buckling": 0.520686200738108, + "fos_yielding": 1.1347968722992197, + "deflection": 0.012374220713069761, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3111": { + "node_id": "node_3111", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n\nPerformance:\n Mass: 146.06 kg\n Factor of Safety: 0.63\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.06223156647397, + "fos_buckling": 0.6263521013555695, + "fos_yielding": 1.149761343234574, + "deflection": 0.011345197764141276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001665)" + }, + "parent_node_id": "node_3110", + "improvement_over_parent": null + }, + "node_3112": { + "node_id": "node_3112", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n\nPerformance:\n Mass: 178.27 kg\n Factor of Safety: 0.75\n Max Deflection: 9.32e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.26779246452853, + "fos_buckling": 0.7480257403784502, + "fos_yielding": 1.4021869743418223, + "deflection": 0.009319841934066661, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_3111", + "improvement_over_parent": null + }, + "node_3113": { + "node_id": "node_3113", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 222.59 kg\n Factor of Safety: 0.91\n Max Deflection: 7.49e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.59475586064278, + "fos_buckling": 0.9059438513199276, + "fos_yielding": 1.7489803501060088, + "deflection": 0.007490640851794706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_3112", + "improvement_over_parent": null + }, + "node_3114": { + "node_id": "node_3114", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n\nPerformance:\n Mass: 246.61 kg\n Factor of Safety: 0.99\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.6100829748437, + "fos_buckling": 0.9869138185918076, + "fos_yielding": 1.9365565001432763, + "deflection": 0.006774259898907386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_3113", + "improvement_over_parent": null + }, + "node_3115": { + "node_id": "node_3115", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 278.93 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.9320184709716, + "fos_buckling": 1.0908393460181116, + "fos_yielding": 2.188671496517016, + "deflection": 0.006004829323960744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_3114", + "improvement_over_parent": null + }, + "node_3116": { + "node_id": "node_3116", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.27314647634853, + "fos_buckling": 1.5135314573506597, + "fos_yielding": 2.1858453746545514, + "deflection": 0.005157177458348217, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_3115", + "improvement_over_parent": null + }, + "node_3117": { + "node_id": "node_3117", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3116", + "improvement_over_parent": null + }, + "node_3118": { + "node_id": "node_3118", + "content": "INITIAL DESIGN (Trace 446)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3119": { + "node_id": "node_3119", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 253.39 kg\n Factor of Safety: 0.98\n Max Deflection: 6.27e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.38795625321342, + "fos_buckling": 0.979472227480909, + "fos_yielding": 2.1276545577999055, + "deflection": 0.006265180953235739, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003339)" + }, + "parent_node_id": "node_3118", + "improvement_over_parent": null + }, + "node_3120": { + "node_id": "node_3120", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 269.40 kg\n Factor of Safety: 1.37\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.39926452788694, + "fos_buckling": 1.3744702252501564, + "fos_yielding": 1.943261192007428, + "deflection": 0.005790611406322644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003707)" + }, + "parent_node_id": "node_3119", + "improvement_over_parent": null + }, + "node_3121": { + "node_id": "node_3121", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.48 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.47805560197276, + "fos_buckling": 1.5143202924034955, + "fos_yielding": 2.1873828499568724, + "deflection": 0.005153699648938026, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_3120", + "improvement_over_parent": null + }, + "node_3122": { + "node_id": "node_3122", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3121", + "improvement_over_parent": null + }, + "node_3123": { + "node_id": "node_3123", + "content": "INITIAL DESIGN (Trace 447)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n\nPerformance:\n Mass: 195.49 kg\n Factor of Safety: 0.42\n Max Deflection: 9.65e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.4916597994748, + "fos_buckling": 0.4214894264062047, + "fos_yielding": 1.3902956817081285, + "deflection": 0.009650567958204825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3124": { + "node_id": "node_3124", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 214.84 kg\n Factor of Safety: 0.86\n Max Deflection: 7.96e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.84435178203933, + "fos_buckling": 0.8598284838820509, + "fos_yielding": 1.6459599982323099, + "deflection": 0.007955969356069542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003698)" + }, + "parent_node_id": "node_3123", + "improvement_over_parent": null + }, + "node_3125": { + "node_id": "node_3125", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 248.98 kg\n Factor of Safety: 0.97\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.98156830214043, + "fos_buckling": 0.9734986693843254, + "fos_yielding": 1.905954907519221, + "deflection": 0.0068839207425900155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_3124", + "improvement_over_parent": null + }, + "node_3126": { + "node_id": "node_3126", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 286.15 kg\n Factor of Safety: 1.09\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.15159970652405, + "fos_buckling": 1.0902607334836538, + "fos_yielding": 2.1885724154255897, + "deflection": 0.006007511289886684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_3125", + "improvement_over_parent": null + }, + "node_3127": { + "node_id": "node_3127", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2695549380985, + "fos_buckling": 1.5135263914882202, + "fos_yielding": 2.1858524654145657, + "deflection": 0.005157177802856959, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_3126", + "improvement_over_parent": null + }, + "node_3128": { + "node_id": "node_3128", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3127", + "improvement_over_parent": null + }, + "node_3129": { + "node_id": "node_3129", + "content": "INITIAL DESIGN (Trace 448)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 217.81 kg\n Factor of Safety: 0.90\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.81308701858495, + "fos_buckling": 0.8972322248586393, + "fos_yielding": 1.6839164252921812, + "deflection": 0.007636813388969132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3130": { + "node_id": "node_3130", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 220.02 kg\n Factor of Safety: 0.90\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.02380750069617, + "fos_buckling": 0.8970844388944743, + "fos_yielding": 1.7288841174664389, + "deflection": 0.007576604087389051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001822)" + }, + "parent_node_id": "node_3129", + "improvement_over_parent": null + }, + "node_3131": { + "node_id": "node_3131", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 279.15 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.14807919814496, + "fos_buckling": 1.0915137086934326, + "fos_yielding": 2.1903523128581504, + "deflection": 0.006000289091004614, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_3130", + "improvement_over_parent": null + }, + "node_3132": { + "node_id": "node_3132", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.48920720352186, + "fos_buckling": 1.5143438044753432, + "fos_yielding": 2.1875245391472355, + "deflection": 0.005153454013668482, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_3131", + "improvement_over_parent": null + }, + "node_3133": { + "node_id": "node_3133", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3132", + "improvement_over_parent": null + }, + "node_3134": { + "node_id": "node_3134", + "content": "INITIAL DESIGN (Trace 449)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 224.73 kg\n Factor of Safety: 0.93\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.7261849314308, + "fos_buckling": 0.9324923481122682, + "fos_yielding": 1.9986614272329464, + "deflection": 0.007126900466810885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3135": { + "node_id": "node_3135", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 269.53 kg\n Factor of Safety: 1.08\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.52830937910886, + "fos_buckling": 1.0786395078039206, + "fos_yielding": 2.3948176393063214, + "deflection": 0.005961779596727896, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_3134", + "improvement_over_parent": null + }, + "node_3136": { + "node_id": "node_3136", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 287.56 kg\n Factor of Safety: 1.26\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.5600760643386, + "fos_buckling": 1.2642791798460604, + "fos_yielding": 2.190118236756139, + "deflection": 0.005553958644575808, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_3135", + "improvement_over_parent": null + }, + "node_3137": { + "node_id": "node_3137", + "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 295.83 kg\n Factor of Safety: 1.28\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.8257711182121, + "fos_buckling": 1.2789184774054008, + "fos_yielding": 2.190364768191713, + "deflection": 0.0052498822780993855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.524)" + }, + "parent_node_id": "node_3136", + "improvement_over_parent": null + }, + "node_3138": { + "node_id": "node_3138", + "content": "MODIFICATION: Increase 13 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2917470259903, + "fos_buckling": 1.513421933963578, + "fos_yielding": 2.1859281920562883, + "deflection": 0.005156736209873103, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.520)" + }, + "parent_node_id": "node_3137", + "improvement_over_parent": null + }, + "node_3139": { + "node_id": "node_3139", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3138", + "improvement_over_parent": null + }, + "node_3140": { + "node_id": "node_3140", + "content": "INITIAL DESIGN (Trace 450)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 197.83 kg\n Factor of Safety: 0.81\n Max Deflection: 8.58e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.83303717736246, + "fos_buckling": 0.8080985222873818, + "fos_yielding": 1.540369726805298, + "deflection": 0.008578455025562598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3141": { + "node_id": "node_3141", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 238.20 kg\n Factor of Safety: 0.95\n Max Deflection: 7.15e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.20270225860185, + "fos_buckling": 0.9463678284368789, + "fos_yielding": 1.8526736691823413, + "deflection": 0.007148285493714531, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_3140", + "improvement_over_parent": null + }, + "node_3142": { + "node_id": "node_3142", + "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 240.64 kg\n Factor of Safety: 0.95\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.63718509255722, + "fos_buckling": 0.9462821304848119, + "fos_yielding": 1.8424458836508235, + "deflection": 0.007117887290315265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.319)" + }, + "parent_node_id": "node_3141", + "improvement_over_parent": null + }, + "node_3143": { + "node_id": "node_3143", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n\nPerformance:\n Mass: 255.02 kg\n Factor of Safety: 1.31\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.02352532140964, + "fos_buckling": 1.3132172924003844, + "fos_yielding": 1.8402046500707512, + "deflection": 0.006110290601727373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003654)" + }, + "parent_node_id": "node_3142", + "improvement_over_parent": null + }, + "node_3144": { + "node_id": "node_3144", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5504630090022, + "fos_buckling": 1.5146031864226392, + "fos_yielding": 2.1879443495937885, + "deflection": 0.005152463613933377, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_3143", + "improvement_over_parent": null + }, + "node_3145": { + "node_id": "node_3145", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3144", + "improvement_over_parent": null + }, + "node_3146": { + "node_id": "node_3146", + "content": "INITIAL DESIGN (Trace 451)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 161.66 kg\n Factor of Safety: 0.34\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.66444712007674, + "fos_buckling": 0.34338704140475484, + "fos_yielding": 1.0944769762152375, + "deflection": 0.016081122442060305, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3147": { + "node_id": "node_3147", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 206.86 kg\n Factor of Safety: 0.42\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.8590106167926, + "fos_buckling": 0.4241049235272723, + "fos_yielding": 1.3965221227112186, + "deflection": 0.012599644533871, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_3146", + "improvement_over_parent": null + }, + "node_3148": { + "node_id": "node_3148", + "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 211.31 kg\n Factor of Safety: 0.42\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.3051380923822, + "fos_buckling": 0.42403462029074623, + "fos_yielding": 1.396417624942071, + "deflection": 0.01253809809445772, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.451)" + }, + "parent_node_id": "node_3147", + "improvement_over_parent": null + }, + "node_3149": { + "node_id": "node_3149", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n\nPerformance:\n Mass: 241.55 kg\n Factor of Safety: 1.12\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.55422802595677, + "fos_buckling": 1.120053319368191, + "fos_yielding": 1.776123526816641, + "deflection": 0.006523989532402501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004904)" + }, + "parent_node_id": "node_3148", + "improvement_over_parent": null + }, + "node_3150": { + "node_id": "node_3150", + "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n\nPerformance:\n Mass: 245.79 kg\n Factor of Safety: 1.06\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.78641457674559, + "fos_buckling": 1.0643676099216406, + "fos_yielding": 1.7662080366517534, + "deflection": 0.006330476467293826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.248)" + }, + "parent_node_id": "node_3149", + "improvement_over_parent": null + }, + "node_3151": { + "node_id": "node_3151", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 248.12 kg\n Factor of Safety: 1.27\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.11862783832288, + "fos_buckling": 1.2682116263415157, + "fos_yielding": 1.8196928427679442, + "deflection": 0.006246775428011979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001930)" + }, + "parent_node_id": "node_3150", + "improvement_over_parent": null + }, + "node_3152": { + "node_id": "node_3152", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 298.35 kg\n Factor of Safety: 1.48\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.35226979031825, + "fos_buckling": 1.4756110210140132, + "fos_yielding": 2.1850485874057335, + "deflection": 0.005215272182799712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_3151", + "improvement_over_parent": null + }, + "node_3153": { + "node_id": "node_3153", + "content": "MODIFICATION: Increase 11 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0061)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.83 kg\n Factor of Safety: 1.48\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.83468104000355, + "fos_buckling": 1.476929582830696, + "fos_yielding": 2.182837873952799, + "deflection": 0.005172554037124045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.267)" + }, + "parent_node_id": "node_3152", + "improvement_over_parent": null + }, + "node_3154": { + "node_id": "node_3154", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3153", + "improvement_over_parent": null + }, + "node_3155": { + "node_id": "node_3155", + "content": "INITIAL DESIGN (Trace 452)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0012)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0008)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0021)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0017)]\n\nPerformance:\n Mass: 102.30 kg\n Factor of Safety: 0.37\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 102.30485446473736, + "fos_buckling": 0.3706427339852788, + "fos_yielding": 0.7955676421763311, + "deflection": 0.015254908139842966, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3156": { + "node_id": "node_3156", + "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0012)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0008)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0021)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0017)]\n\nPerformance:\n Mass: 103.79 kg\n Factor of Safety: 0.37\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.78789793891494, + "fos_buckling": 0.3706011448281057, + "fos_yielding": 0.7955569356012877, + "deflection": 0.015083896121492784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.319)" + }, + "parent_node_id": "node_3155", + "improvement_over_parent": null + }, + "node_3157": { + "node_id": "node_3157", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 126.19 kg\n Factor of Safety: 0.44\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.19144596313421, + "fos_buckling": 0.444736051790681, + "fos_yielding": 0.9667881334769151, + "deflection": 0.012425367041442315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_3156", + "improvement_over_parent": null + }, + "node_3158": { + "node_id": "node_3158", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 157.85 kg\n Factor of Safety: 0.55\n Max Deflection: 9.96e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.84617209164966, + "fos_buckling": 0.5459403504686036, + "fos_yielding": 1.2084267640982576, + "deflection": 0.009955487184071318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_3157", + "improvement_over_parent": null + }, + "node_3159": { + "node_id": "node_3159", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n\nPerformance:\n Mass: 169.17 kg\n Factor of Safety: 0.92\n Max Deflection: 9.15e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.1695877869369, + "fos_buckling": 0.9193550361105574, + "fos_yielding": 1.2231261755757237, + "deflection": 0.009150859471119372, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002396)" + }, + "parent_node_id": "node_3158", + "improvement_over_parent": null + }, + "node_3160": { + "node_id": "node_3160", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n\nPerformance:\n Mass: 214.81 kg\n Factor of Safety: 1.13\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.80579941290637, + "fos_buckling": 1.1347282386318394, + "fos_yielding": 1.5514651398634536, + "deflection": 0.007231968233632702, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_3159", + "improvement_over_parent": null + }, + "node_3161": { + "node_id": "node_3161", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.30\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.46612516587243, + "fos_buckling": 1.3021841590609926, + "fos_yielding": 1.821904836667453, + "deflection": 0.006170898358671449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_3160", + "improvement_over_parent": null + }, + "node_3162": { + "node_id": "node_3162", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.2737251198074, + "fos_buckling": 1.5135000085643322, + "fos_yielding": 2.1860195014058688, + "deflection": 0.005156987542803777, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_3161", + "improvement_over_parent": null + }, + "node_3163": { + "node_id": "node_3163", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3162", + "improvement_over_parent": null + }, + "node_3164": { + "node_id": "node_3164", + "content": "INITIAL DESIGN (Trace 453)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 147.45 kg\n Factor of Safety: 0.49\n Max Deflection: 1.49e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.44978407408564, + "fos_buckling": 0.4895729469587372, + "fos_yielding": 1.1888567615515349, + "deflection": 14894121645273.672, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3165": { + "node_id": "node_3165", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n\nPerformance:\n Mass: 162.77 kg\n Factor of Safety: 0.33\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.76860613864355, + "fos_buckling": 0.33349408659041846, + "fos_yielding": 1.059215136733106, + "deflection": 0.015343918167124231, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.002980)" + }, + "parent_node_id": "node_3164", + "improvement_over_parent": null + }, + "node_3166": { + "node_id": "node_3166", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n\nPerformance:\n Mass: 206.78 kg\n Factor of Safety: 0.41\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.77603682699166, + "fos_buckling": 0.41004354009201843, + "fos_yielding": 1.3426815653474746, + "deflection": 0.01211760570525359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_3165", + "improvement_over_parent": null + }, + "node_3167": { + "node_id": "node_3167", + "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0058)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n\nPerformance:\n Mass: 215.43 kg\n Factor of Safety: 0.41\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.43229507357995, + "fos_buckling": 0.4099112450292717, + "fos_yielding": 1.3424860115183785, + "deflection": 0.012054986214224229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.468)" + }, + "parent_node_id": "node_3166", + "improvement_over_parent": null + }, + "node_3168": { + "node_id": "node_3168", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0074)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 269.30 kg\n Factor of Safety: 0.49\n Max Deflection: 9.67e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.29986663784007, + "fos_buckling": 0.4930859661963453, + "fos_yielding": 1.676132529233983, + "deflection": 0.009669098602246911, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_3167", + "improvement_over_parent": null + }, + "node_3169": { + "node_id": "node_3169", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0074)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 305.68 kg\n Factor of Safety: 1.39\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.6822640933192, + "fos_buckling": 1.3924657635294433, + "fos_yielding": 2.151156357436189, + "deflection": 0.005243475452280827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_3168", + "improvement_over_parent": null + }, + "node_3170": { + "node_id": "node_3170", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0074)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 308.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.11e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 308.4865200724597, + "fos_buckling": 1.5130943916750332, + "fos_yielding": 2.231892687470769, + "deflection": 0.005114851076567581, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_3169", + "improvement_over_parent": null + }, + "node_3171": { + "node_id": "node_3171", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3170", + "improvement_over_parent": null + }, + "node_3172": { + "node_id": "node_3172", + "content": "INITIAL DESIGN (Trace 454)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 199.94 kg\n Factor of Safety: 0.85\n Max Deflection: 8.63e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.9367958395192, + "fos_buckling": 0.8485649492284795, + "fos_yielding": 1.7545347658275532, + "deflection": 0.008631034683557977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3173": { + "node_id": "node_3173", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n\nPerformance:\n Mass: 202.00 kg\n Factor of Safety: 0.89\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.99757385653453, + "fos_buckling": 0.8863051939166904, + "fos_yielding": 1.6378848725069366, + "deflection": 0.008253711867765216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001690)" + }, + "parent_node_id": "node_3172", + "improvement_over_parent": null + }, + "node_3174": { + "node_id": "node_3174", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 245.80 kg\n Factor of Safety: 1.05\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.79900527227878, + "fos_buckling": 1.0454913693351369, + "fos_yielding": 1.9905999506503638, + "deflection": 0.0068019979961454445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_3173", + "improvement_over_parent": null + }, + "node_3175": { + "node_id": "node_3175", + "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 250.49 kg\n Factor of Safety: 1.03\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.4889110977513, + "fos_buckling": 1.0332980884941863, + "fos_yielding": 1.9905337608081548, + "deflection": 0.0067273239250402956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.479)" + }, + "parent_node_id": "node_3174", + "improvement_over_parent": null + }, + "node_3176": { + "node_id": "node_3176", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 280.12 kg\n Factor of Safety: 1.13\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.12360992146415, + "fos_buckling": 1.1343654676106034, + "fos_yielding": 2.2245303478563936, + "deflection": 0.006026806584688439, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_3175", + "improvement_over_parent": null + }, + "node_3177": { + "node_id": "node_3177", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.34713030261213, + "fos_buckling": 1.5137856160983667, + "fos_yielding": 2.1864233953582475, + "deflection": 0.005155893645669602, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" + }, + "parent_node_id": "node_3176", + "improvement_over_parent": null + }, + "node_3178": { + "node_id": "node_3178", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3177", + "improvement_over_parent": null + }, + "node_3179": { + "node_id": "node_3179", + "content": "INITIAL DESIGN (Trace 455)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 214.68 kg\n Factor of Safety: 1.02\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.6759681452467, + "fos_buckling": 1.0165321384081145, + "fos_yielding": 1.2890486293549772, + "deflection": 0.007237010789894927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3180": { + "node_id": "node_3180", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 272.43 kg\n Factor of Safety: 1.26\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.4286472203496, + "fos_buckling": 1.2580024580984097, + "fos_yielding": 1.6392001300316972, + "deflection": 0.005727922910975917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_3179", + "improvement_over_parent": null + }, + "node_3181": { + "node_id": "node_3181", + "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 274.12 kg\n Factor of Safety: 1.39\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.1198370342676, + "fos_buckling": 1.3942733906487743, + "fos_yielding": 1.977980644235392, + "deflection": 0.005692946506606227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.233)" + }, + "parent_node_id": "node_3180", + "improvement_over_parent": null + }, + "node_3182": { + "node_id": "node_3182", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.30 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3049708596749, + "fos_buckling": 1.5136114723002112, + "fos_yielding": 2.187107346872176, + "deflection": 0.005156580551612356, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_3181", + "improvement_over_parent": null + }, + "node_3183": { + "node_id": "node_3183", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3182", + "improvement_over_parent": null + }, + "node_3184": { + "node_id": "node_3184", + "content": "INITIAL DESIGN (Trace 456)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 224.96 kg\n Factor of Safety: 0.99\n Max Deflection: 7.47e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.9644232072446, + "fos_buckling": 0.9877699050244906, + "fos_yielding": 1.674364799031302, + "deflection": 0.0074668222154919564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3185": { + "node_id": "node_3185", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 251.66 kg\n Factor of Safety: 1.08\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.6612703511421, + "fos_buckling": 1.0798926547587984, + "fos_yielding": 1.8770122831455263, + "deflection": 0.006689595702630565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_3184", + "improvement_over_parent": null + }, + "node_3186": { + "node_id": "node_3186", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 276.00 kg\n Factor of Safety: 1.08\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.002398356519, + "fos_buckling": 1.0779757676789723, + "fos_yielding": 1.8770122831455263, + "deflection": 0.005840826097631412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_3185", + "improvement_over_parent": null + }, + "node_3187": { + "node_id": "node_3187", + "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 278.30 kg\n Factor of Safety: 1.08\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.30050797973985, + "fos_buckling": 1.0779757676789723, + "fos_yielding": 2.3964567991290164, + "deflection": 0.005840826097631412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.304)" + }, + "parent_node_id": "node_3186", + "improvement_over_parent": null + }, + "node_3188": { + "node_id": "node_3188", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 296.33 kg\n Factor of Safety: 1.28\n Max Deflection: 5.40e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.3322746649696, + "fos_buckling": 1.27593876545287, + "fos_yielding": 2.1834448562594657, + "deflection": 0.005401030910923657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_3187", + "improvement_over_parent": null + }, + "node_3189": { + "node_id": "node_3189", + "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3396686183935, + "fos_buckling": 1.5137038858562912, + "fos_yielding": 2.1873936098804188, + "deflection": 0.005156030188947637, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.403)" + }, + "parent_node_id": "node_3188", + "improvement_over_parent": null + }, + "node_3190": { + "node_id": "node_3190", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3189", + "improvement_over_parent": null + }, + "node_3191": { + "node_id": "node_3191", + "content": "INITIAL DESIGN (Trace 457)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 153.93 kg\n Factor of Safety: 0.82\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.93090844044912, + "fos_buckling": 0.8156027297107713, + "fos_yielding": 1.144643299076804, + "deflection": 0.01052936124402671, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3192": { + "node_id": "node_3192", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 190.77 kg\n Factor of Safety: 0.99\n Max Deflection: 8.51e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.77109892158012, + "fos_buckling": 0.9862394154912039, + "fos_yielding": 1.4168397351919257, + "deflection": 0.008514849420001311, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_3191", + "improvement_over_parent": null + }, + "node_3193": { + "node_id": "node_3193", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 243.94 kg\n Factor of Safety: 1.22\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.93791229146512, + "fos_buckling": 1.216170038285519, + "fos_yielding": 1.808417857985094, + "deflection": 0.006679983098989455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_3192", + "improvement_over_parent": null + }, + "node_3194": { + "node_id": "node_3194", + "content": "MODIFICATION: Increase 1 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 252.37 kg\n Factor of Safety: 1.07\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.3670825827067, + "fos_buckling": 1.0697734219404933, + "fos_yielding": 1.7835096918024549, + "deflection": 0.0062025311750707746, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.629)" + }, + "parent_node_id": "node_3193", + "improvement_over_parent": null + }, + "node_3195": { + "node_id": "node_3195", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 300.85 kg\n Factor of Safety: 1.23\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.84674643633826, + "fos_buckling": 1.230979170097469, + "fos_yielding": 2.123705812722868, + "deflection": 0.005222104267903058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_3194", + "improvement_over_parent": null + }, + "node_3196": { + "node_id": "node_3196", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.65 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.6510024154788, + "fos_buckling": 1.5150254290015457, + "fos_yielding": 2.1886417873239763, + "deflection": 0.005150822482697706, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_3195", + "improvement_over_parent": null + }, + "node_3197": { + "node_id": "node_3197", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3196", + "improvement_over_parent": null + }, + "node_3198": { + "node_id": "node_3198", + "content": "INITIAL DESIGN (Trace 458)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 251.60 kg\n Factor of Safety: 0.90\n Max Deflection: 6.95e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.59925364816604, + "fos_buckling": 0.9045137882591465, + "fos_yielding": 2.1884360927217, + "deflection": 0.006949680842525236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3199": { + "node_id": "node_3199", + "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 261.45 kg\n Factor of Safety: 0.90\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.44821089313166, + "fos_buckling": 0.9045137882591472, + "fos_yielding": 2.183635992933298, + "deflection": 0.006197800732371637, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.621)" + }, + "parent_node_id": "node_3198", + "improvement_over_parent": null + }, + "node_3200": { + "node_id": "node_3200", + "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 265.05 kg\n Factor of Safety: 0.90\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.04859365605444, + "fos_buckling": 0.9045137882591474, + "fos_yielding": 2.1836359929332962, + "deflection": 0.006143347157415175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.176)" + }, + "parent_node_id": "node_3199", + "improvement_over_parent": null + }, + "node_3201": { + "node_id": "node_3201", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 285.36 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.36192853808126, + "fos_buckling": 1.076618567547298, + "fos_yielding": 2.395905482661271, + "deflection": 0.005578463075282642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_3200", + "improvement_over_parent": null + }, + "node_3202": { + "node_id": "node_3202", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.393695223311, + "fos_buckling": 1.5140811770833837, + "fos_yielding": 2.186935697280511, + "deflection": 0.005155317188137921, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_3201", + "improvement_over_parent": null + }, + "node_3203": { + "node_id": "node_3203", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3202", + "improvement_over_parent": null + }, + "node_3204": { + "node_id": "node_3204", + "content": "INITIAL DESIGN (Trace 459)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 136.21 kg\n Factor of Safety: 0.60\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.2108029144071, + "fos_buckling": 0.5968329417485989, + "fos_yielding": 1.0993725708961737, + "deflection": 0.012690861471595974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3205": { + "node_id": "node_3205", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 176.11 kg\n Factor of Safety: 0.75\n Max Deflection: 9.84e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.10923947429737, + "fos_buckling": 0.7506486157787541, + "fos_yielding": 1.4194255674470617, + "deflection": 0.009844069986350262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_3204", + "improvement_over_parent": null + }, + "node_3206": { + "node_id": "node_3206", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 202.56 kg\n Factor of Safety: 0.85\n Max Deflection: 8.57e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.56428473004132, + "fos_buckling": 0.8474772609668603, + "fos_yielding": 1.631124015854982, + "deflection": 0.008574719488668761, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_3205", + "improvement_over_parent": null + }, + "node_3207": { + "node_id": "node_3207", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 247.65 kg\n Factor of Safety: 1.00\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.6474615850405, + "fos_buckling": 1.0030943456618722, + "fos_yielding": 1.990912004132928, + "deflection": 0.007036321589362074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_3206", + "improvement_over_parent": null + }, + "node_3208": { + "node_id": "node_3208", + "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 250.53 kg\n Factor of Safety: 1.00\n Max Deflection: 7.01e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.5285233266908, + "fos_buckling": 1.0029868962401247, + "fos_yielding": 1.9787750215571518, + "deflection": 0.007005943824580513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.366)" + }, + "parent_node_id": "node_3207", + "improvement_over_parent": null + }, + "node_3209": { + "node_id": "node_3209", + "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 257.88 kg\n Factor of Safety: 1.00\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.87513403682067, + "fos_buckling": 1.0021656799738476, + "fos_yielding": 1.973814912087341, + "deflection": 0.0066512954993470045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.464)" + }, + "parent_node_id": "node_3208", + "improvement_over_parent": null + }, + "node_3210": { + "node_id": "node_3210", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 286.27 kg\n Factor of Safety: 1.09\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.2692750673842, + "fos_buckling": 1.0906892053813617, + "fos_yielding": 2.189679177633799, + "deflection": 0.0060051553319067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_3209", + "improvement_over_parent": null + }, + "node_3211": { + "node_id": "node_3211", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3872302989587, + "fos_buckling": 1.5140442259967912, + "fos_yielding": 2.186958649439126, + "deflection": 0.005155356180823557, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_3210", + "improvement_over_parent": null + }, + "node_3212": { + "node_id": "node_3212", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3211", + "improvement_over_parent": null + }, + "node_3213": { + "node_id": "node_3213", + "content": "INITIAL DESIGN (Trace 460)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n\nPerformance:\n Mass: 183.93 kg\n Factor of Safety: 0.96\n Max Deflection: 8.93e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.9331564016925, + "fos_buckling": 0.9629437538992249, + "fos_yielding": 1.1888567615515349, + "deflection": 8930794643855.434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3214": { + "node_id": "node_3214", + "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n\nPerformance:\n Mass: 184.63 kg\n Factor of Safety: 1.34\n Max Deflection: 7.15e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.62556558735216, + "fos_buckling": 1.341461499799471, + "fos_yielding": 1.1888567615515349, + "deflection": 7153051737950.932, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.548)" + }, + "parent_node_id": "node_3213", + "improvement_over_parent": null + }, + "node_3215": { + "node_id": "node_3215", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 203.38 kg\n Factor of Safety: 0.83\n Max Deflection: 7.90e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.37993619138845, + "fos_buckling": 0.8309076953645552, + "fos_yielding": 1.742806826865075, + "deflection": 0.007895022530413484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003576)" + }, + "parent_node_id": "node_3214", + "improvement_over_parent": null + }, + "node_3216": { + "node_id": "node_3216", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 228.54 kg\n Factor of Safety: 0.92\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.54056178934928, + "fos_buckling": 0.9160352281794373, + "fos_yielding": 1.957860802684478, + "deflection": 0.00703967512607437, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_3215", + "improvement_over_parent": null + }, + "node_3217": { + "node_id": "node_3217", + "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 233.15 kg\n Factor of Safety: 0.92\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.1527860823484, + "fos_buckling": 0.9151057808720857, + "fos_yielding": 1.957860802684478, + "deflection": 0.006797139304259743, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.297)" + }, + "parent_node_id": "node_3216", + "improvement_over_parent": null + }, + "node_3218": { + "node_id": "node_3218", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 247.87 kg\n Factor of Safety: 1.28\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.86955501584558, + "fos_buckling": 1.2822530373299106, + "fos_yielding": 1.7889208270757664, + "deflection": 0.0062829046570827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003384)" + }, + "parent_node_id": "node_3217", + "improvement_over_parent": null + }, + "node_3219": { + "node_id": "node_3219", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.62 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.62161304773537, + "fos_buckling": 1.5149048497424342, + "fos_yielding": 2.188509625639499, + "deflection": 0.005151034746283074, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_3218", + "improvement_over_parent": null + }, + "node_3220": { + "node_id": "node_3220", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3219", + "improvement_over_parent": null + }, + "node_3221": { + "node_id": "node_3221", + "content": "INITIAL DESIGN (Trace 461)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 237.14 kg\n Factor of Safety: 0.48\n Max Deflection: 9.81e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.1447487891969, + "fos_buckling": 0.4765089373988544, + "fos_yielding": 1.610080509181116, + "deflection": 0.009811175163838911, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3222": { + "node_id": "node_3222", + "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 238.30 kg\n Factor of Safety: 0.48\n Max Deflection: 9.94e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.2962003481045, + "fos_buckling": 0.47642848750286454, + "fos_yielding": 1.6100187735189189, + "deflection": 0.00993935462738497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.429)" + }, + "parent_node_id": "node_3221", + "improvement_over_parent": null + }, + "node_3223": { + "node_id": "node_3223", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 273.88 kg\n Factor of Safety: 0.53\n Max Deflection: 8.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.88029702522385, + "fos_buckling": 0.5324756645859942, + "fos_yielding": 1.8478618857965794, + "deflection": 0.008685783956802478, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_3222", + "improvement_over_parent": null + }, + "node_3224": { + "node_id": "node_3224", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 276.68 kg\n Factor of Safety: 0.53\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.6845530043644, + "fos_buckling": 0.5320402196120929, + "fos_yielding": 1.8475173040266502, + "deflection": 0.006690169943407437, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_3223", + "improvement_over_parent": null + }, + "node_3225": { + "node_id": "node_3225", + "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 277.64 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.6394131556894, + "fos_buckling": 0.5319661551898074, + "fos_yielding": 1.8474586511069298, + "deflection": 0.006703489176003385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.227)" + }, + "parent_node_id": "node_3224", + "improvement_over_parent": null + }, + "node_3226": { + "node_id": "node_3226", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.43004069810337, + "fos_buckling": 1.5141363968323351, + "fos_yielding": 2.1870520611131634, + "deflection": 0.005154479679068883, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_3225", + "improvement_over_parent": null + }, + "node_3227": { + "node_id": "node_3227", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3226", + "improvement_over_parent": null + }, + "node_3228": { + "node_id": "node_3228", + "content": "INITIAL DESIGN (Trace 462)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 123.89 kg\n Factor of Safety: 0.66\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.88694617390044, + "fos_buckling": 0.6592579283148154, + "fos_yielding": 0.9519009796501986, + "deflection": 0.013074988184819822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3229": { + "node_id": "node_3229", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 147.89 kg\n Factor of Safety: 0.78\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.89162530358587, + "fos_buckling": 0.7772659627875202, + "fos_yielding": 1.1354276495474867, + "deflection": 0.010968808906786417, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_3228", + "improvement_over_parent": null + }, + "node_3230": { + "node_id": "node_3230", + "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 149.90 kg\n Factor of Safety: 0.83\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.89677668287658, + "fos_buckling": 0.8301864738614047, + "fos_yielding": 1.126753356384304, + "deflection": 0.010899566159015169, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.466)" + }, + "parent_node_id": "node_3229", + "improvement_over_parent": null + }, + "node_3231": { + "node_id": "node_3231", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 185.43 kg\n Factor of Safety: 1.00\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.42721528127555, + "fos_buckling": 1.0033707193260006, + "fos_yielding": 1.392322421479721, + "deflection": 0.008829269245951132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_3230", + "improvement_over_parent": null + }, + "node_3232": { + "node_id": "node_3232", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 241.68 kg\n Factor of Safety: 1.26\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.6752930440704, + "fos_buckling": 1.2595025762150842, + "fos_yielding": 1.8115206405241846, + "deflection": 0.006796066114630796, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_3231", + "improvement_over_parent": null + }, + "node_3233": { + "node_id": "node_3233", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 292.86 kg\n Factor of Safety: 1.47\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.85971652508715, + "fos_buckling": 1.4736491199219677, + "fos_yielding": 2.1916453186526677, + "deflection": 0.0056242458953965355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_3232", + "improvement_over_parent": null + }, + "node_3234": { + "node_id": "node_3234", + "content": "MODIFICATION: Increase 1 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.02 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.02262420458146, + "fos_buckling": 1.5124147898510316, + "fos_yielding": 2.183923983550791, + "deflection": 0.005161064133366269, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.653)" + }, + "parent_node_id": "node_3233", + "improvement_over_parent": null + }, + "node_3235": { + "node_id": "node_3235", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3234", + "improvement_over_parent": null + }, + "node_3236": { + "node_id": "node_3236", + "content": "INITIAL DESIGN (Trace 463)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n\nPerformance:\n Mass: 178.81 kg\n Factor of Safety: 0.59\n Max Deflection: 1.16e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.81050349875372, + "fos_buckling": 0.5940463454123951, + "fos_yielding": 1.8357013452632842, + "deflection": 11591792972986.568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3237": { + "node_id": "node_3237", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 196.81 kg\n Factor of Safety: 0.55\n Max Deflection: 8.54e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.80661584629473, + "fos_buckling": 0.5534539778357952, + "fos_yielding": 1.856895489422622, + "deflection": 8541487612863.0, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003632)" + }, + "parent_node_id": "node_3236", + "improvement_over_parent": null + }, + "node_3238": { + "node_id": "node_3238", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 216.79 kg\n Factor of Safety: 0.74\n Max Deflection: 9.09e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.78898006891848, + "fos_buckling": 0.7370938962397344, + "fos_yielding": 1.7157476022668927, + "deflection": 0.009092287861295206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003827)" + }, + "parent_node_id": "node_3237", + "improvement_over_parent": null + }, + "node_3239": { + "node_id": "node_3239", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 279.79 kg\n Factor of Safety: 0.91\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.7934656013641, + "fos_buckling": 0.914583595843025, + "fos_yielding": 2.2073160989473672, + "deflection": 0.007073415116158756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_3238", + "improvement_over_parent": null + }, + "node_3240": { + "node_id": "node_3240", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 297.83 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.82523228659386, + "fos_buckling": 0.889426574309659, + "fos_yielding": 2.1590637587558836, + "deflection": 0.006518818832327283, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_3239", + "improvement_over_parent": null + }, + "node_3241": { + "node_id": "node_3241", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3994319515701, + "fos_buckling": 1.513996725873763, + "fos_yielding": 2.1867909812444126, + "deflection": 0.005155024360345794, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_3240", + "improvement_over_parent": null + }, + "node_3242": { + "node_id": "node_3242", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3241", + "improvement_over_parent": null + }, + "node_3243": { + "node_id": "node_3243", + "content": "INITIAL DESIGN (Trace 464)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 173.51 kg\n Factor of Safety: 0.79\n Max Deflection: 9.90e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.51099650263922, + "fos_buckling": 0.7896137593172349, + "fos_yielding": 1.512264098361547, + "deflection": 0.0099003711245314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3244": { + "node_id": "node_3244", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 212.32 kg\n Factor of Safety: 0.94\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.3179318001782, + "fos_buckling": 0.9386730458950163, + "fos_yielding": 1.848752427176928, + "deflection": 0.008111980546829987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_3243", + "improvement_over_parent": null + }, + "node_3245": { + "node_id": "node_3245", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n\nPerformance:\n Mass: 232.50 kg\n Factor of Safety: 0.97\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.50472567719746, + "fos_buckling": 0.9698897001721546, + "fos_yielding": 1.8484877199415166, + "deflection": 0.007239251018992193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004000)" + }, + "parent_node_id": "node_3244", + "improvement_over_parent": null + }, + "node_3246": { + "node_id": "node_3246", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 251.76 kg\n Factor of Safety: 1.30\n Max Deflection: 6.19e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.76457587061583, + "fos_buckling": 1.2991664121063378, + "fos_yielding": 1.8169995109688137, + "deflection": 0.00618760307451538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003907)" + }, + "parent_node_id": "node_3245", + "improvement_over_parent": null + }, + "node_3247": { + "node_id": "node_3247", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.34779247904044, + "fos_buckling": 1.5138120994390283, + "fos_yielding": 2.186700976840174, + "deflection": 0.005155626271418702, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_3246", + "improvement_over_parent": null + }, + "node_3248": { + "node_id": "node_3248", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3247", + "improvement_over_parent": null + }, + "node_3249": { + "node_id": "node_3249", + "content": "INITIAL DESIGN (Trace 465)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 288.76 kg\n Factor of Safety: 1.21\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.7561356420438, + "fos_buckling": 1.2061972037260469, + "fos_yielding": 2.117266188834108, + "deflection": 0.005343929201179408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3250": { + "node_id": "node_3250", + "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.97 kg\n Factor of Safety: 1.28\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.9722513910531, + "fos_buckling": 1.283321840483771, + "fos_yielding": 2.1320354456540485, + "deflection": 0.005267300869117299, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.572)" + }, + "parent_node_id": "node_3249", + "improvement_over_parent": null + }, + "node_3251": { + "node_id": "node_3251", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 297.78 kg\n Factor of Safety: 1.36\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.7765073701936, + "fos_buckling": 1.358925940580617, + "fos_yielding": 2.1900552129246758, + "deflection": 0.005219752122800982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_3250", + "improvement_over_parent": null + }, + "node_3252": { + "node_id": "node_3252", + "content": "MODIFICATION: Increase 13 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0057)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.33 kg\n Factor of Safety: 1.35\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.3283682509406, + "fos_buckling": 1.352377639922298, + "fos_yielding": 2.175873816232981, + "deflection": 0.005191238646798965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.351)" + }, + "parent_node_id": "node_3251", + "improvement_over_parent": null + }, + "node_3253": { + "node_id": "node_3253", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3252", + "improvement_over_parent": null + }, + "node_3254": { + "node_id": "node_3254", + "content": "INITIAL DESIGN (Trace 466)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3255": { + "node_id": "node_3255", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 200.71 kg\n Factor of Safety: 0.25\n Max Deflection: 3.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.71466929323378, + "fos_buckling": 0.24856820733219126, + "fos_yielding": 0.7198299264979967, + "deflection": 0.03150379965181505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003732)" + }, + "parent_node_id": "node_3254", + "improvement_over_parent": null + }, + "node_3256": { + "node_id": "node_3256", + "content": "MODIFICATION: Increase 3 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 205.91 kg\n Factor of Safety: 0.25\n Max Deflection: 2.99e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.9062138582202, + "fos_buckling": 0.2484708669871546, + "fos_yielding": 0.7195598818264085, + "deflection": 0.029867998973245956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.661)" + }, + "parent_node_id": "node_3255", + "improvement_over_parent": null + }, + "node_3257": { + "node_id": "node_3257", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 259.21 kg\n Factor of Safety: 0.30\n Max Deflection: 2.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.21343219920794, + "fos_buckling": 0.3012558808097604, + "fos_yielding": 0.9045051409431583, + "deflection": 0.023782329335743427, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_3256", + "improvement_over_parent": null + }, + "node_3258": { + "node_id": "node_3258", + "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 261.57 kg\n Factor of Safety: 0.30\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.5674229721931, + "fos_buckling": 0.3012558808097602, + "fos_yielding": 0.9154476749459559, + "deflection": 0.02372053074520002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.250)" + }, + "parent_node_id": "node_3257", + "improvement_over_parent": null + }, + "node_3259": { + "node_id": "node_3259", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 267.14 kg\n Factor of Safety: 0.49\n Max Deflection: 9.48e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.14162263716935, + "fos_buckling": 0.49347530301954945, + "fos_yielding": 1.676695091188618, + "deflection": 0.009482091780187218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_3258", + "improvement_over_parent": null + }, + "node_3260": { + "node_id": "node_3260", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.52 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.52402009264847, + "fos_buckling": 1.5142552106511806, + "fos_yielding": 2.1877645157177805, + "deflection": 0.005153070141123607, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_3259", + "improvement_over_parent": null + }, + "node_3261": { + "node_id": "node_3261", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3260", + "improvement_over_parent": null + }, + "node_3262": { + "node_id": "node_3262", + "content": "INITIAL DESIGN (Trace 467)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 227.16 kg\n Factor of Safety: 0.94\n Max Deflection: 7.26e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.15706065281037, + "fos_buckling": 0.938808095873805, + "fos_yielding": 1.8240911090610719, + "deflection": 0.007256700124015595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3263": { + "node_id": "node_3263", + "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 228.50 kg\n Factor of Safety: 0.94\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.5035399281329, + "fos_buckling": 0.9386198224496765, + "fos_yielding": 1.824691202716816, + "deflection": 0.007238596690346426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.441)" + }, + "parent_node_id": "node_3262", + "improvement_over_parent": null + }, + "node_3264": { + "node_id": "node_3264", + "content": "MODIFICATION: Increase 12 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 232.07 kg\n Factor of Safety: 0.94\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.07023357451573, + "fos_buckling": 0.9382460077988752, + "fos_yielding": 1.8229484368165347, + "deflection": 0.007190433251027625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.244)" + }, + "parent_node_id": "node_3263", + "improvement_over_parent": null + }, + "node_3265": { + "node_id": "node_3265", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n\nPerformance:\n Mass: 248.57 kg\n Factor of Safety: 1.27\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.5661500300347, + "fos_buckling": 1.2709995051042222, + "fos_yielding": 1.8208378578942384, + "deflection": 0.0062371594325025615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003223)" + }, + "parent_node_id": "node_3264", + "improvement_over_parent": null + }, + "node_3266": { + "node_id": "node_3266", + "content": "MODIFICATION: Increase 11 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0046)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n\nPerformance:\n Mass: 252.33 kg\n Factor of Safety: 1.27\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.32778906546764, + "fos_buckling": 1.2690275536295372, + "fos_yielding": 1.8220028775639634, + "deflection": 0.0062078008624395055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.245)" + }, + "parent_node_id": "node_3265", + "improvement_over_parent": null + }, + "node_3267": { + "node_id": "node_3267", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0056)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n\nPerformance:\n Mass: 303.30 kg\n Factor of Safety: 1.48\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.2951241035456, + "fos_buckling": 1.476459487267906, + "fos_yielding": 2.1877297003056557, + "deflection": 0.005183908481342819, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_3266", + "improvement_over_parent": null + }, + "node_3268": { + "node_id": "node_3268", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3267", + "improvement_over_parent": null + }, + "node_3269": { + "node_id": "node_3269", + "content": "INITIAL DESIGN (Trace 468)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 201.25 kg\n Factor of Safety: 0.85\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.25172727222457, + "fos_buckling": 0.8486640006014293, + "fos_yielding": 1.6013688682725415, + "deflection": 0.0081874925118841, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3270": { + "node_id": "node_3270", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n\nPerformance:\n Mass: 219.23 kg\n Factor of Safety: 1.01\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.22874953422652, + "fos_buckling": 1.0103148904744763, + "fos_yielding": 1.5995012838439129, + "deflection": 0.007044805518020132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003532)" + }, + "parent_node_id": "node_3269", + "improvement_over_parent": null + }, + "node_3271": { + "node_id": "node_3271", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n\nPerformance:\n Mass: 265.76 kg\n Factor of Safety: 1.20\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.763013620763, + "fos_buckling": 1.197158775044985, + "fos_yielding": 1.9366616796435854, + "deflection": 0.005832472661106188, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_3270", + "improvement_over_parent": null + }, + "node_3272": { + "node_id": "node_3272", + "content": "MODIFICATION: Increase 15 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0059)]\n\nPerformance:\n Mass: 272.87 kg\n Factor of Safety: 1.20\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.868910372043, + "fos_buckling": 1.197166152148372, + "fos_yielding": 1.9363917398906436, + "deflection": 0.005761022915922643, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.366)" + }, + "parent_node_id": "node_3271", + "improvement_over_parent": null + }, + "node_3273": { + "node_id": "node_3273", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0067)]\n\nPerformance:\n Mass: 304.82 kg\n Factor of Safety: 1.32\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 304.82150925668293, + "fos_buckling": 1.3172647630283538, + "fos_yielding": 2.1623388096809375, + "deflection": 0.005168481185847556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_3272", + "improvement_over_parent": null + }, + "node_3274": { + "node_id": "node_3274", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3273", + "improvement_over_parent": null + }, + "node_3275": { + "node_id": "node_3275", + "content": "INITIAL DESIGN (Trace 469)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 0.97\n Max Deflection: 6.90e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.59217576201843, + "fos_buckling": 0.9721451025245074, + "fos_yielding": 1.2262888590393768, + "deflection": 0.006896770819166426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3276": { + "node_id": "node_3276", + "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 231.38 kg\n Factor of Safety: 0.97\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.37591159936417, + "fos_buckling": 0.9709672279844769, + "fos_yielding": 1.2248030577716087, + "deflection": 0.006662685453673501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.230)" + }, + "parent_node_id": "node_3275", + "improvement_over_parent": null + }, + "node_3277": { + "node_id": "node_3277", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.13 kg\n Factor of Safety: 1.21\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.1254569384696, + "fos_buckling": 1.2080427094037833, + "fos_yielding": 1.56415128372045, + "deflection": 0.005266138577941249, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_3276", + "improvement_over_parent": null + }, + "node_3278": { + "node_id": "node_3278", + "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.24 kg\n Factor of Safety: 1.21\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.24229605960727, + "fos_buckling": 1.2096246676115263, + "fos_yielding": 1.5661995738530519, + "deflection": 0.005216612610861671, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.473)" + }, + "parent_node_id": "node_3277", + "improvement_over_parent": null + }, + "node_3279": { + "node_id": "node_3279", + "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.33696703629465, + "fos_buckling": 1.5138448672361122, + "fos_yielding": 2.1857270831229423, + "deflection": 0.005156032737184376, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.453)" + }, + "parent_node_id": "node_3278", + "improvement_over_parent": null + }, + "node_3280": { + "node_id": "node_3280", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3279", + "improvement_over_parent": null + }, + "node_3281": { + "node_id": "node_3281", + "content": "INITIAL DESIGN (Trace 470)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 187.36 kg\n Factor of Safety: 0.40\n Max Deflection: 9.67e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.3618268837837, + "fos_buckling": 0.3998706577943416, + "fos_yielding": 1.165681699791004, + "deflection": 0.009670544708883486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3282": { + "node_id": "node_3282", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 222.03 kg\n Factor of Safety: 0.46\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.0346971512969, + "fos_buckling": 0.46086064473271876, + "fos_yielding": 1.3852936142014705, + "deflection": 0.008193129776169313, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_3281", + "improvement_over_parent": null + }, + "node_3283": { + "node_id": "node_3283", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 243.60 kg\n Factor of Safety: 0.99\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.60429717356274, + "fos_buckling": 0.9871195145211908, + "fos_yielding": 1.3879902546592247, + "deflection": 0.006585121487819605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004155)" + }, + "parent_node_id": "node_3282", + "improvement_over_parent": null + }, + "node_3284": { + "node_id": "node_3284", + "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 251.03 kg\n Factor of Safety: 1.02\n Max Deflection: 6.26e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.03025834379835, + "fos_buckling": 1.0165974872349255, + "fos_yielding": 1.4294392770439361, + "deflection": 0.0062619445481228555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.348)" + }, + "parent_node_id": "node_3283", + "improvement_over_parent": null + }, + "node_3285": { + "node_id": "node_3285", + "content": "MODIFICATION: Increase 6 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 253.63 kg\n Factor of Safety: 1.31\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.63268193348793, + "fos_buckling": 1.3075994942568334, + "fos_yielding": 1.8300251208605334, + "deflection": 0.006143155959781551, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.524)" + }, + "parent_node_id": "node_3284", + "improvement_over_parent": null + }, + "node_3286": { + "node_id": "node_3286", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.28727020269434, + "fos_buckling": 1.5139570805467666, + "fos_yielding": 2.1858245292002234, + "deflection": 0.005156839456071734, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_3285", + "improvement_over_parent": null + }, + "node_3287": { + "node_id": "node_3287", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3286", + "improvement_over_parent": null + }, + "node_3288": { + "node_id": "node_3288", + "content": "INITIAL DESIGN (Trace 471)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0020)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 139.69 kg\n Factor of Safety: 0.64\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.6921246165582, + "fos_buckling": 0.6360008463463755, + "fos_yielding": 1.087149695710844, + "deflection": 0.011637874074624632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3289": { + "node_id": "node_3289", + "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 145.01 kg\n Factor of Safety: 0.65\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.01036913452438, + "fos_buckling": 0.6469869543659073, + "fos_yielding": 1.087310734556911, + "deflection": 0.010961153737935443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.435)" + }, + "parent_node_id": "node_3288", + "improvement_over_parent": null + }, + "node_3290": { + "node_id": "node_3290", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 184.49 kg\n Factor of Safety: 0.81\n Max Deflection: 8.64e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.49156557582668, + "fos_buckling": 0.8098793869716994, + "fos_yielding": 1.3816273246847661, + "deflection": 0.008638198035293738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_3289", + "improvement_over_parent": null + }, + "node_3291": { + "node_id": "node_3291", + "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 189.70 kg\n Factor of Safety: 1.01\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.7011997435156, + "fos_buckling": 1.0080684284493473, + "fos_yielding": 1.3848133915676395, + "deflection": 0.00815651924670019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.488)" + }, + "parent_node_id": "node_3290", + "improvement_over_parent": null + }, + "node_3292": { + "node_id": "node_3292", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 231.36 kg\n Factor of Safety: 1.20\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.35958250607644, + "fos_buckling": 1.197575391062594, + "fos_yielding": 1.6871066703021753, + "deflection": 0.006709339952386547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_3291", + "improvement_over_parent": null + }, + "node_3293": { + "node_id": "node_3293", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.56 kg\n Factor of Safety: 1.49\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.5580544919195, + "fos_buckling": 1.487514027950006, + "fos_yielding": 2.1877813645993704, + "deflection": 0.005192095668896126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_3292", + "improvement_over_parent": null + }, + "node_3294": { + "node_id": "node_3294", + "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5140580546183, + "fos_buckling": 1.514289754697239, + "fos_yielding": 2.1876153179030244, + "deflection": 0.005153146752887986, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.229)" + }, + "parent_node_id": "node_3293", + "improvement_over_parent": null + }, + "node_3295": { + "node_id": "node_3295", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3294", + "improvement_over_parent": null + }, + "node_3296": { + "node_id": "node_3296", + "content": "INITIAL DESIGN (Trace 472)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n Mass: 129.64 kg\n Factor of Safety: 0.03\n Max Deflection: 9.25e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.63905156289437, + "fos_buckling": 0.030701333740152364, + "fos_yielding": 0.14860709519394188, + "deflection": 92477878974503.17, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3297": { + "node_id": "node_3297", + "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n Mass: 131.87 kg\n Factor of Safety: 0.49\n Max Deflection: 1.82e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.87315081690974, + "fos_buckling": 0.48820675166188543, + "fos_yielding": 0.5944283807757675, + "deflection": 18232998012771.09, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.185)" + }, + "parent_node_id": "node_3296", + "improvement_over_parent": null + }, + "node_3298": { + "node_id": "node_3298", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 161.97 kg\n Factor of Safety: 1.13\n Max Deflection: 1.77e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.97399293862134, + "fos_buckling": 1.1285216285775954, + "fos_yielding": 1.4829815506090547, + "deflection": 17676654868017.887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_3297", + "improvement_over_parent": null + }, + "node_3299": { + "node_id": "node_3299", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 190.85 kg\n Factor of Safety: 0.81\n Max Deflection: 8.20e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.85145192729703, + "fos_buckling": 0.8087970181194665, + "fos_yielding": 1.68046932754213, + "deflection": 8196810216250.267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004665)" + }, + "parent_node_id": "node_3298", + "improvement_over_parent": null + }, + "node_3300": { + "node_id": "node_3300", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 211.32 kg\n Factor of Safety: 0.89\n Max Deflection: 8.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.32467805244733, + "fos_buckling": 0.8942611365492803, + "fos_yielding": 1.9003004068410545, + "deflection": 0.008047100120908094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003928)" + }, + "parent_node_id": "node_3299", + "improvement_over_parent": null + }, + "node_3301": { + "node_id": "node_3301", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 266.19 kg\n Factor of Safety: 1.08\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.18977147467535, + "fos_buckling": 1.077647070787379, + "fos_yielding": 2.3927666197227278, + "deflection": 0.006419531867082059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_3300", + "improvement_over_parent": null + }, + "node_3302": { + "node_id": "node_3302", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 290.53 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.53089948005226, + "fos_buckling": 1.075738549208025, + "fos_yielding": 2.3927666197227264, + "deflection": 0.005584071625878569, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_3301", + "improvement_over_parent": null + }, + "node_3303": { + "node_id": "node_3303", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.22 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.21927073854084, + "fos_buckling": 1.5137777395170169, + "fos_yielding": 2.18486289174949, + "deflection": 0.0051582989162945354, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_3302", + "improvement_over_parent": null + }, + "node_3304": { + "node_id": "node_3304", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3303", + "improvement_over_parent": null + }, + "node_3305": { + "node_id": "node_3305", + "content": "INITIAL DESIGN (Trace 473)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 227.08 kg\n Factor of Safety: 1.03\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.07998891970064, + "fos_buckling": 1.032240821672905, + "fos_yielding": 1.7072604196465806, + "deflection": 0.006858857806905584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3306": { + "node_id": "node_3306", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.62 kg\n Factor of Safety: 1.26\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.6203020150276, + "fos_buckling": 1.2585893288047412, + "fos_yielding": 2.127301926393089, + "deflection": 0.00551309012250111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_3305", + "improvement_over_parent": null + }, + "node_3307": { + "node_id": "node_3307", + "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 286.46 kg\n Factor of Safety: 1.22\n Max Deflection: 5.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.4588931125609, + "fos_buckling": 1.22360388364185, + "fos_yielding": 2.1202715081210224, + "deflection": 0.005480968754880368, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.199)" + }, + "parent_node_id": "node_3306", + "improvement_over_parent": null + }, + "node_3308": { + "node_id": "node_3308", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 289.26 kg\n Factor of Safety: 1.34\n Max Deflection: 5.43e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 289.2631490917014, + "fos_buckling": 1.3354301196494074, + "fos_yielding": 2.177011016874866, + "deflection": 0.0054305385719800965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_3307", + "improvement_over_parent": null + }, + "node_3309": { + "node_id": "node_3309", + "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0058)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.33\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.21658328412695, + "fos_buckling": 1.330766745089109, + "fos_yielding": 2.1768309482524164, + "deflection": 0.0053925393587763, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.182)" + }, + "parent_node_id": "node_3308", + "improvement_over_parent": null + }, + "node_3310": { + "node_id": "node_3310", + "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0058)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0055)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 298.09 kg\n Factor of Safety: 1.33\n Max Deflection: 5.36e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.0936208554548, + "fos_buckling": 1.3250449695935764, + "fos_yielding": 2.163817146367151, + "deflection": 0.005363802340612224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.307)" + }, + "parent_node_id": "node_3309", + "improvement_over_parent": null + }, + "node_3311": { + "node_id": "node_3311", + "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0058)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0055)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 300.87 kg\n Factor of Safety: 1.33\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.87372178892736, + "fos_buckling": 1.3313796451625193, + "fos_yielding": 2.1752787612354676, + "deflection": 0.005331081404847609, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.199)" + }, + "parent_node_id": "node_3310", + "improvement_over_parent": null + }, + "node_3312": { + "node_id": "node_3312", + "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0058)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0055)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 301.89 kg\n Factor of Safety: 1.36\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.8898458838745, + "fos_buckling": 1.3644700565834498, + "fos_yielding": 2.176136345801155, + "deflection": 0.005283496995206556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.245)" + }, + "parent_node_id": "node_3311", + "improvement_over_parent": null + }, + "node_3313": { + "node_id": "node_3313", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3312", + "improvement_over_parent": null + }, + "node_3314": { + "node_id": "node_3314", + "content": "INITIAL DESIGN (Trace 474)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 136.52 kg\n Factor of Safety: 0.24\n Max Deflection: 7.01e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.51579208965816, + "fos_buckling": 0.2442095972357298, + "fos_yielding": 0.9510854092412279, + "deflection": 7007470780168.567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3315": { + "node_id": "node_3315", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 154.04 kg\n Factor of Safety: 0.32\n Max Deflection: 2.21e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.03553776189744, + "fos_buckling": 0.3227348977863786, + "fos_yielding": 0.7433732470290004, + "deflection": 0.0221073714845685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003326)" + }, + "parent_node_id": "node_3314", + "improvement_over_parent": null + }, + "node_3316": { + "node_id": "node_3316", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 191.73 kg\n Factor of Safety: 0.39\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.7302728750911, + "fos_buckling": 0.38925700571918576, + "fos_yielding": 0.921230912615235, + "deflection": 0.017817361622292756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_3315", + "improvement_over_parent": null + }, + "node_3317": { + "node_id": "node_3317", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n\nPerformance:\n Mass: 213.80 kg\n Factor of Safety: 0.43\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.79800374192632, + "fos_buckling": 0.4300799305344222, + "fos_yielding": 1.1713972830040535, + "deflection": 0.012134196998401937, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004543)" + }, + "parent_node_id": "node_3316", + "improvement_over_parent": null + }, + "node_3318": { + "node_id": "node_3318", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n\nPerformance:\n Mass: 224.53 kg\n Factor of Safety: 0.43\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.53079281901228, + "fos_buckling": 0.42990800995652895, + "fos_yielding": 1.1937638351551028, + "deflection": 0.01159088996754561, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003168)" + }, + "parent_node_id": "node_3317", + "improvement_over_parent": null + }, + "node_3319": { + "node_id": "node_3319", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 265.44 kg\n Factor of Safety: 0.49\n Max Deflection: 9.83e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.43599410610756, + "fos_buckling": 0.4929907161495085, + "fos_yielding": 1.4155582918937983, + "deflection": 0.00982734492157348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_3318", + "improvement_over_parent": null + }, + "node_3320": { + "node_id": "node_3320", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 301.82 kg\n Factor of Safety: 1.40\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.8183915615867, + "fos_buckling": 1.4045633295843143, + "fos_yielding": 2.1846492095521284, + "deflection": 0.005219481899889601, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_3319", + "improvement_over_parent": null + }, + "node_3321": { + "node_id": "node_3321", + "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0064)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 305.52 kg\n Factor of Safety: 1.41\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.52417896579226, + "fos_buckling": 1.4097777236944862, + "fos_yielding": 2.5022592367465855, + "deflection": 0.0051804281905520715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.401)" + }, + "parent_node_id": "node_3320", + "improvement_over_parent": null + }, + "node_3322": { + "node_id": "node_3322", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3321", + "improvement_over_parent": null + }, + "node_3323": { + "node_id": "node_3323", + "content": "INITIAL DESIGN (Trace 475)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 192.24 kg\n Factor of Safety: 0.33\n Max Deflection: 2.44e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.2435900196651, + "fos_buckling": 0.3286169489798682, + "fos_yielding": 1.17757146539954, + "deflection": 24436487800252.902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3324": { + "node_id": "node_3324", + "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 193.02 kg\n Factor of Safety: 0.01\n Max Deflection: 6.05e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.0188675154067, + "fos_buckling": 0.01451016577986348, + "fos_yielding": 0.04246387292605867, + "deflection": 605382263429943.6, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.488)" + }, + "parent_node_id": "node_3323", + "improvement_over_parent": null + }, + "node_3325": { + "node_id": "node_3325", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 215.98 kg\n Factor of Safety: 0.79\n Max Deflection: 1.30e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.97532699548864, + "fos_buckling": 0.7860291898469941, + "fos_yielding": 1.17757146539954, + "deflection": 13000747245939.629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004445)" + }, + "parent_node_id": "node_3324", + "improvement_over_parent": null + }, + "node_3326": { + "node_id": "node_3326", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 242.57 kg\n Factor of Safety: 0.15\n Max Deflection: 4.60e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.57138633657075, + "fos_buckling": 0.1530830440590455, + "fos_yielding": 0.6950460944621221, + "deflection": 46041874077726.77, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_3325", + "improvement_over_parent": null + }, + "node_3327": { + "node_id": "node_3327", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 278.95 kg\n Factor of Safety: 1.09\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.9537837920499, + "fos_buckling": 1.091606292053471, + "fos_yielding": 2.1923991796470332, + "deflection": 0.0060819222699402264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" + }, + "parent_node_id": "node_3326", + "improvement_over_parent": null + }, + "node_3328": { + "node_id": "node_3328", + "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 286.63 kg\n Factor of Safety: 1.09\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.63339705872767, + "fos_buckling": 1.0912953475574139, + "fos_yielding": 2.1742761610699333, + "deflection": 0.0060467486491521975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.493)" + }, + "parent_node_id": "node_3327", + "improvement_over_parent": null + }, + "node_3329": { + "node_id": "node_3329", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.75 kg\n Factor of Safety: 1.28\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.7513522903021, + "fos_buckling": 1.2824889171143408, + "fos_yielding": 2.17164132788324, + "deflection": 0.005209404606044488, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" + }, + "parent_node_id": "node_3328", + "improvement_over_parent": null + }, + "node_3330": { + "node_id": "node_3330", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3329", + "improvement_over_parent": null + }, + "node_3331": { + "node_id": "node_3331", + "content": "INITIAL DESIGN (Trace 476)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 210.78 kg\n Factor of Safety: 0.74\n Max Deflection: 8.32e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.77739400233153, + "fos_buckling": 0.7362191327917649, + "fos_yielding": 1.5280942987096853, + "deflection": 0.008318776079752201, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3332": { + "node_id": "node_3332", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n\nPerformance:\n Mass: 226.64 kg\n Factor of Safety: 0.74\n Max Deflection: 8.33e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.63957110436178, + "fos_buckling": 0.7447551006812897, + "fos_yielding": 1.532956571828755, + "deflection": 0.00833187003005805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003425)" + }, + "parent_node_id": "node_3331", + "improvement_over_parent": null + }, + "node_3333": { + "node_id": "node_3333", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 230.99 kg\n Factor of Safety: 0.93\n Max Deflection: 6.78e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.99112621551012, + "fos_buckling": 0.9303431637409061, + "fos_yielding": 1.2950335015129242, + "deflection": 0.006777109571755069, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002542)" + }, + "parent_node_id": "node_3332", + "improvement_over_parent": null + }, + "node_3334": { + "node_id": "node_3334", + "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 233.65 kg\n Factor of Safety: 1.20\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.65158835010072, + "fos_buckling": 1.201579939001805, + "fos_yielding": 1.7102652695361336, + "deflection": 0.006643737161505831, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.597)" + }, + "parent_node_id": "node_3333", + "improvement_over_parent": null + }, + "node_3335": { + "node_id": "node_3335", + "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 236.90 kg\n Factor of Safety: 1.23\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.8993116257358, + "fos_buckling": 1.234092977246212, + "fos_yielding": 1.7100876835393526, + "deflection": 0.006568733153303581, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.344)" + }, + "parent_node_id": "node_3334", + "improvement_over_parent": null + }, + "node_3336": { + "node_id": "node_3336", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.58 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.5820790512068, + "fos_buckling": 1.5147405865953845, + "fos_yielding": 2.1881171777545974, + "deflection": 0.005151983144751472, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_3335", + "improvement_over_parent": null + }, + "node_3337": { + "node_id": "node_3337", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3336", + "improvement_over_parent": null + }, + "node_3338": { + "node_id": "node_3338", + "content": "INITIAL DESIGN (Trace 477)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 217.70 kg\n Factor of Safety: 0.92\n Max Deflection: 7.95e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.70001944131735, + "fos_buckling": 0.9170095067417449, + "fos_yielding": 1.5195633986499324, + "deflection": 0.00794925107419253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3339": { + "node_id": "node_3339", + "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 219.80 kg\n Factor of Safety: 0.92\n Max Deflection: 7.87e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.80148297424412, + "fos_buckling": 0.9170095067417451, + "fos_yielding": 1.921362327691568, + "deflection": 0.007868511742245064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.406)" + }, + "parent_node_id": "node_3338", + "improvement_over_parent": null + }, + "node_3340": { + "node_id": "node_3340", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 246.13 kg\n Factor of Safety: 1.01\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.13020661094794, + "fos_buckling": 1.0074000356802224, + "fos_yielding": 2.1498508118759228, + "deflection": 0.0070382169621169685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_3339", + "improvement_over_parent": null + }, + "node_3341": { + "node_id": "node_3341", + "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 250.04 kg\n Factor of Safety: 1.01\n Max Deflection: 6.98e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.03644065751485, + "fos_buckling": 1.0071078909132052, + "fos_yielding": 2.1498508118759228, + "deflection": 0.006980357813689175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.368)" + }, + "parent_node_id": "node_3340", + "improvement_over_parent": null + }, + "node_3342": { + "node_id": "node_3342", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.04\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.56435233888064, + "fos_buckling": 1.0405999983579461, + "fos_yielding": 2.0069884330197314, + "deflection": 0.006672839567248748, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002106)" + }, + "parent_node_id": "node_3341", + "improvement_over_parent": null + }, + "node_3343": { + "node_id": "node_3343", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 273.50 kg\n Factor of Safety: 1.39\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.4980450765699, + "fos_buckling": 1.3916528345965677, + "fos_yielding": 1.9727171178938427, + "deflection": 0.005705568122764502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004276)" + }, + "parent_node_id": "node_3342", + "improvement_over_parent": null + }, + "node_3344": { + "node_id": "node_3344", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3635790352479, + "fos_buckling": 1.5138244152272171, + "fos_yielding": 2.186644916706418, + "deflection": 0.005155561670589288, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_3343", + "improvement_over_parent": null + }, + "node_3345": { + "node_id": "node_3345", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3344", + "improvement_over_parent": null + }, + "node_3346": { + "node_id": "node_3346", + "content": "INITIAL DESIGN (Trace 478)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 179.58 kg\n Factor of Safety: 0.91\n Max Deflection: 8.70e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.5831889807018, + "fos_buckling": 0.9102951767972677, + "fos_yielding": 1.3416401709575645, + "deflection": 0.008697962050594353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3347": { + "node_id": "node_3347", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 223.82 kg\n Factor of Safety: 1.11\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.82224157938157, + "fos_buckling": 1.1075325029326095, + "fos_yielding": 1.669877131505929, + "deflection": 0.007001477163023886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_3346", + "improvement_over_parent": null + }, + "node_3348": { + "node_id": "node_3348", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 252.66 kg\n Factor of Safety: 1.23\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.65922197408807, + "fos_buckling": 1.230535634612321, + "fos_yielding": 1.8833326354721327, + "deflection": 0.0062154408328379505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_3347", + "improvement_over_parent": null + }, + "node_3349": { + "node_id": "node_3349", + "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 256.65 kg\n Factor of Safety: 1.23\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.6453003077492, + "fos_buckling": 1.231463003344103, + "fos_yielding": 1.8834460597607572, + "deflection": 0.006044482895018808, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.241)" + }, + "parent_node_id": "node_3348", + "improvement_over_parent": null + }, + "node_3350": { + "node_id": "node_3350", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.14 kg\n Factor of Safety: 1.41\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.14251279140456, + "fos_buckling": 1.406392930786162, + "fos_yielding": 2.20012899940933, + "deflection": 0.005186028201693426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_3349", + "improvement_over_parent": null + }, + "node_3351": { + "node_id": "node_3351", + "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.31576196630374, + "fos_buckling": 1.5136690617211137, + "fos_yielding": 2.186206373275664, + "deflection": 0.005156408269981396, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.366)" + }, + "parent_node_id": "node_3350", + "improvement_over_parent": null + }, + "node_3352": { + "node_id": "node_3352", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3351", + "improvement_over_parent": null + }, + "node_3353": { + "node_id": "node_3353", + "content": "INITIAL DESIGN (Trace 479)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 209.89 kg\n Factor of Safety: 1.13\n Max Deflection: 7.38e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.88939579889254, + "fos_buckling": 1.1272593970823983, + "fos_yielding": 1.5249080452224228, + "deflection": 0.007379700002468005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3354": { + "node_id": "node_3354", + "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 213.09 kg\n Factor of Safety: 1.13\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.09299310518705, + "fos_buckling": 1.1268587340317284, + "fos_yielding": 1.5390581980918114, + "deflection": 0.00728937182704686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.357)" + }, + "parent_node_id": "node_3353", + "improvement_over_parent": null + }, + "node_3355": { + "node_id": "node_3355", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 238.12 kg\n Factor of Safety: 1.24\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.11919063058897, + "fos_buckling": 1.239447064470371, + "fos_yielding": 1.7188276096980992, + "deflection": 0.006535747129821481, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_3354", + "improvement_over_parent": null + }, + "node_3356": { + "node_id": "node_3356", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.20 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.19954782203837, + "fos_buckling": 1.5131677725094614, + "fos_yielding": 2.185356799316278, + "deflection": 0.005158376478545153, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_3355", + "improvement_over_parent": null + }, + "node_3357": { + "node_id": "node_3357", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3356", + "improvement_over_parent": null + }, + "node_3358": { + "node_id": "node_3358", + "content": "INITIAL DESIGN (Trace 480)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 225.09 kg\n Factor of Safety: 0.97\n Max Deflection: 7.30e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.08965182900567, + "fos_buckling": 0.967685700111784, + "fos_yielding": 1.6794140063866771, + "deflection": 0.0072966907295264494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3359": { + "node_id": "node_3359", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 228.74 kg\n Factor of Safety: 1.02\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.73818340815384, + "fos_buckling": 1.0163402291719095, + "fos_yielding": 1.6889686689564758, + "deflection": 0.0070816349958039695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.229)" + }, + "parent_node_id": "node_3358", + "improvement_over_parent": null + }, + "node_3360": { + "node_id": "node_3360", + "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 231.46 kg\n Factor of Safety: 1.01\n Max Deflection: 7.01e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.46228943533825, + "fos_buckling": 1.013927001062772, + "fos_yielding": 1.6885139270614553, + "deflection": 0.007014200439216338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.176)" + }, + "parent_node_id": "node_3359", + "improvement_over_parent": null + }, + "node_3361": { + "node_id": "node_3361", + "content": "MODIFICATION: Increase 0 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 239.10 kg\n Factor of Safety: 1.02\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.10445449178076, + "fos_buckling": 1.0233356030012877, + "fos_yielding": 1.6902761010107064, + "deflection": 0.006539381955371931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.645)" + }, + "parent_node_id": "node_3360", + "improvement_over_parent": null + }, + "node_3362": { + "node_id": "node_3362", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 241.33 kg\n Factor of Safety: 1.25\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.33436970683175, + "fos_buckling": 1.2533375149398984, + "fos_yielding": 1.7419036098494594, + "deflection": 0.00644962923846619, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001839)" + }, + "parent_node_id": "node_3361", + "improvement_over_parent": null + }, + "node_3363": { + "node_id": "node_3363", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.33 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.32709701933595, + "fos_buckling": 1.5133484193688, + "fos_yielding": 2.186263981212769, + "deflection": 0.005155768170599477, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_3362", + "improvement_over_parent": null + }, + "node_3364": { + "node_id": "node_3364", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3363", + "improvement_over_parent": null + }, + "node_3365": { + "node_id": "node_3365", + "content": "INITIAL DESIGN (Trace 481)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 225.90 kg\n Factor of Safety: 0.47\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.901870171935, + "fos_buckling": 0.4683411328308864, + "fos_yielding": 1.5769823938559346, + "deflection": 0.008033556926756289, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3366": { + "node_id": "node_3366", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 265.11 kg\n Factor of Safety: 0.53\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.1100842346269, + "fos_buckling": 0.5322408400524891, + "fos_yielding": 1.8469339826099802, + "deflection": 0.006876422146191287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_3365", + "improvement_over_parent": null + }, + "node_3367": { + "node_id": "node_3367", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 290.90 kg\n Factor of Safety: 1.17\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.9007117770409, + "fos_buckling": 1.1671467202647898, + "fos_yielding": 2.185673268051257, + "deflection": 0.005552345307796771, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_3366", + "improvement_over_parent": null + }, + "node_3368": { + "node_id": "node_3368", + "content": "MODIFICATION: Increase 10 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.30 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.29704069273157, + "fos_buckling": 1.5136436684136934, + "fos_yielding": 2.186017196897963, + "deflection": 0.005156750445777666, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.567)" + }, + "parent_node_id": "node_3367", + "improvement_over_parent": null + }, + "node_3369": { + "node_id": "node_3369", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3368", + "improvement_over_parent": null + }, + "node_3370": { + "node_id": "node_3370", + "content": "INITIAL DESIGN (Trace 482)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 209.84 kg\n Factor of Safety: 0.93\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.83868483111976, + "fos_buckling": 0.9307661070422587, + "fos_yielding": 1.5305732400805507, + "deflection": 0.007432799497772185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3371": { + "node_id": "node_3371", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 238.18 kg\n Factor of Safety: 1.04\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.1800217822132, + "fos_buckling": 1.043175545702369, + "fos_yielding": 1.7377122067716606, + "deflection": 0.006561912940531195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_3370", + "improvement_over_parent": null + }, + "node_3372": { + "node_id": "node_3372", + "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 239.31 kg\n Factor of Safety: 1.04\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.31099249534523, + "fos_buckling": 1.0424374546648707, + "fos_yielding": 1.782132707365523, + "deflection": 0.006519887534316079, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.186)" + }, + "parent_node_id": "node_3371", + "improvement_over_parent": null + }, + "node_3373": { + "node_id": "node_3373", + "content": "MODIFICATION: Increase 5 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 243.16 kg\n Factor of Safety: 1.14\n Max Deflection: 6.46e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.15665810818712, + "fos_buckling": 1.1354083648076259, + "fos_yielding": 1.7631012701292832, + "deflection": 0.006456298493230658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.647)" + }, + "parent_node_id": "node_3372", + "improvement_over_parent": null + }, + "node_3374": { + "node_id": "node_3374", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.65 kg\n Factor of Safety: 1.38\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.6510247051625, + "fos_buckling": 1.3828215162604418, + "fos_yielding": 2.1841783445746437, + "deflection": 0.005226121402328683, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_3373", + "improvement_over_parent": null + }, + "node_3375": { + "node_id": "node_3375", + "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.22744607948124, + "fos_buckling": 1.5132785901734633, + "fos_yielding": 2.1855527536209984, + "deflection": 0.0051579187860369, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.433)" + }, + "parent_node_id": "node_3374", + "improvement_over_parent": null + }, + "node_3376": { + "node_id": "node_3376", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3375", + "improvement_over_parent": null + }, + "node_3377": { + "node_id": "node_3377", + "content": "INITIAL DESIGN (Trace 483)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 172.91 kg\n Factor of Safety: 0.81\n Max Deflection: 9.01e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.91400798384652, + "fos_buckling": 0.8051370562507651, + "fos_yielding": 1.0317719701715953, + "deflection": 0.009008144343626847, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3378": { + "node_id": "node_3378", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n\nPerformance:\n Mass: 174.54 kg\n Factor of Safety: 0.85\n Max Deflection: 8.87e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.53657387469755, + "fos_buckling": 0.8547109195733544, + "fos_yielding": 1.0657180810329236, + "deflection": 0.00887313551909602, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001312)" + }, + "parent_node_id": "node_3377", + "improvement_over_parent": null + }, + "node_3379": { + "node_id": "node_3379", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n\nPerformance:\n Mass: 210.99 kg\n Factor of Safety: 1.02\n Max Deflection: 7.36e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.99475570028778, + "fos_buckling": 1.016877241397013, + "fos_yielding": 1.2896173010513616, + "deflection": 0.007360413862203981, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_3378", + "improvement_over_parent": null + }, + "node_3380": { + "node_id": "node_3380", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 234.03 kg\n Factor of Safety: 1.12\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.03453034964386, + "fos_buckling": 1.1164254237017848, + "fos_yielding": 1.4313999963758377, + "deflection": 0.0066474797412621545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_3379", + "improvement_over_parent": null + }, + "node_3381": { + "node_id": "node_3381", + "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0055)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 239.43 kg\n Factor of Safety: 1.12\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.42572587802246, + "fos_buckling": 1.1164777413504121, + "fos_yielding": 1.431467074284013, + "deflection": 0.0064687311124780695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.208)" + }, + "parent_node_id": "node_3380", + "improvement_over_parent": null + }, + "node_3382": { + "node_id": "node_3382", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0072)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 308.18 kg\n Factor of Safety: 1.39\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 308.1829194640833, + "fos_buckling": 1.3946677295443068, + "fos_yielding": 1.8478080279905857, + "deflection": 0.005052164134674156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_3381", + "improvement_over_parent": null + }, + "node_3383": { + "node_id": "node_3383", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3382", + "improvement_over_parent": null + }, + "node_3384": { + "node_id": "node_3384", + "content": "INITIAL DESIGN (Trace 484)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 220.88 kg\n Factor of Safety: 0.87\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.88321528437294, + "fos_buckling": 0.8654036504679151, + "fos_yielding": 1.1973791520678034, + "deflection": 0.007068257005558362, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3385": { + "node_id": "node_3385", + "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 222.97 kg\n Factor of Safety: 0.87\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.96523819650994, + "fos_buckling": 0.8653306696315809, + "fos_yielding": 1.1972781752208952, + "deflection": 0.0070350982150335275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.299)" + }, + "parent_node_id": "node_3384", + "improvement_over_parent": null + }, + "node_3386": { + "node_id": "node_3386", + "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 225.68 kg\n Factor of Safety: 1.18\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.6836605471149, + "fos_buckling": 1.1750161944252542, + "fos_yielding": 1.6430044826773167, + "deflection": 0.006876462483776839, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.656)" + }, + "parent_node_id": "node_3385", + "improvement_over_parent": null + }, + "node_3387": { + "node_id": "node_3387", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 253.09 kg\n Factor of Safety: 1.29\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.0927208554181, + "fos_buckling": 1.294835211215914, + "fos_yielding": 1.8412637529519462, + "deflection": 0.006144691298424974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_3386", + "improvement_over_parent": null + }, + "node_3388": { + "node_id": "node_3388", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.06 kg\n Factor of Safety: 1.49\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.06006120090774, + "fos_buckling": 1.4928367834416265, + "fos_yielding": 2.18755176723963, + "deflection": 0.005184690827075043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_3387", + "improvement_over_parent": null + }, + "node_3389": { + "node_id": "node_3389", + "content": "MODIFICATION: Increase 3 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4932069575691, + "fos_buckling": 1.514399124026482, + "fos_yielding": 2.187417392577845, + "deflection": 0.0051534500193429, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.182)" + }, + "parent_node_id": "node_3388", + "improvement_over_parent": null + }, + "node_3390": { + "node_id": "node_3390", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3389", + "improvement_over_parent": null + }, + "node_3391": { + "node_id": "node_3391", + "content": "INITIAL DESIGN (Trace 485)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3392": { + "node_id": "node_3392", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 256.49 kg\n Factor of Safety: 0.45\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.4949463112445, + "fos_buckling": 0.4455978505642825, + "fos_yielding": 1.084826808996006, + "deflection": 0.012564503984688856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" + }, + "parent_node_id": "node_3391", + "improvement_over_parent": null + }, + "node_3393": { + "node_id": "node_3393", + "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 259.29 kg\n Factor of Safety: 0.45\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.2874539438349, + "fos_buckling": 0.4455516138959849, + "fos_yielding": 1.0843801038494243, + "deflection": 0.01238201832540454, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.200)" + }, + "parent_node_id": "node_3392", + "improvement_over_parent": null + }, + "node_3394": { + "node_id": "node_3394", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.32 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.31922062906466, + "fos_buckling": 0.4452532855718618, + "fos_yielding": 1.4209774714123582, + "deflection": 0.010714661981581775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" + }, + "parent_node_id": "node_3393", + "improvement_over_parent": null + }, + "node_3395": { + "node_id": "node_3395", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4070129118408, + "fos_buckling": 1.5140717507378578, + "fos_yielding": 2.186915807389298, + "deflection": 0.005154796798396654, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" + }, + "parent_node_id": "node_3394", + "improvement_over_parent": null + }, + "node_3396": { + "node_id": "node_3396", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3395", + "improvement_over_parent": null + }, + "node_3397": { + "node_id": "node_3397", + "content": "INITIAL DESIGN (Trace 486)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 154.19 kg\n Factor of Safety: 0.56\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.19225537548465, + "fos_buckling": 0.5606092157868371, + "fos_yielding": 1.0153656299709692, + "deflection": 0.012337201617273327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3398": { + "node_id": "node_3398", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 197.67 kg\n Factor of Safety: 0.70\n Max Deflection: 9.64e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.66939672607552, + "fos_buckling": 0.7016382948391496, + "fos_yielding": 1.3034438295696171, + "deflection": 0.009642009858110484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_3397", + "improvement_over_parent": null + }, + "node_3399": { + "node_id": "node_3399", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 224.70 kg\n Factor of Safety: 0.79\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.6952305414764, + "fos_buckling": 0.7854678451856159, + "fos_yielding": 1.483011654226126, + "deflection": 0.008492144449759896, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_3398", + "improvement_over_parent": null + }, + "node_3400": { + "node_id": "node_3400", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 229.29 kg\n Factor of Safety: 0.93\n Max Deflection: 7.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.2882297654581, + "fos_buckling": 0.9310653004639087, + "fos_yielding": 1.5022954917358717, + "deflection": 0.00784672119359495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002694)" + }, + "parent_node_id": "node_3399", + "improvement_over_parent": null + }, + "node_3401": { + "node_id": "node_3401", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 243.40 kg\n Factor of Safety: 1.16\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.39704379992628, + "fos_buckling": 1.1639446025831024, + "fos_yielding": 1.500269957841238, + "deflection": 0.006518679431433606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003578)" + }, + "parent_node_id": "node_3400", + "improvement_over_parent": null + }, + "node_3402": { + "node_id": "node_3402", + "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 247.55 kg\n Factor of Safety: 1.16\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.54593666513182, + "fos_buckling": 1.1638347614565463, + "fos_yielding": 1.500128377784986, + "deflection": 0.006453445488958657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.227)" + }, + "parent_node_id": "node_3401", + "improvement_over_parent": null + }, + "node_3403": { + "node_id": "node_3403", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 300.51 kg\n Factor of Safety: 1.38\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 300.51266654257967, + "fos_buckling": 1.3799410604018039, + "fos_yielding": 1.8248902990509095, + "deflection": 0.005334217892363927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_3402", + "improvement_over_parent": null + }, + "node_3404": { + "node_id": "node_3404", + "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 306.61 kg\n Factor of Safety: 1.38\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 306.61306252192657, + "fos_buckling": 1.3800637562206266, + "fos_yielding": 1.8250525570023024, + "deflection": 0.00514102013965988, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.344)" + }, + "parent_node_id": "node_3403", + "improvement_over_parent": null + }, + "node_3405": { + "node_id": "node_3405", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3404", + "improvement_over_parent": null + }, + "node_3406": { + "node_id": "node_3406", + "content": "INITIAL DESIGN (Trace 487)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 256.98 kg\n Factor of Safety: 0.91\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.9755526497391, + "fos_buckling": 0.9076592901312166, + "fos_yielding": 2.1616280684944855, + "deflection": 0.006548151245110514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3407": { + "node_id": "node_3407", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 281.32 kg\n Factor of Safety: 0.91\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.316680655116, + "fos_buckling": 0.9059899762483802, + "fos_yielding": 2.16115254372556, + "deflection": 0.005630581338525547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" + }, + "parent_node_id": "node_3406", + "improvement_over_parent": null + }, + "node_3408": { + "node_id": "node_3408", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 301.63 kg\n Factor of Safety: 1.33\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.6300155371428, + "fos_buckling": 1.333537065382724, + "fos_yielding": 2.1853131050750205, + "deflection": 0.005235252514497943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" + }, + "parent_node_id": "node_3407", + "improvement_over_parent": null + }, + "node_3409": { + "node_id": "node_3409", + "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4102475086801, + "fos_buckling": 1.5140225595413783, + "fos_yielding": 2.1869367096121954, + "deflection": 0.005154852475022608, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.515)" + }, + "parent_node_id": "node_3408", + "improvement_over_parent": null + }, + "node_3410": { + "node_id": "node_3410", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3409", + "improvement_over_parent": null + }, + "node_3411": { + "node_id": "node_3411", + "content": "INITIAL DESIGN (Trace 488)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n Mass: 267.10 kg\n Factor of Safety: 0.53\n Max Deflection: 7.76e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.09963774304697, + "fos_buckling": 0.5329094181936883, + "fos_yielding": 1.8487403822854955, + "deflection": 0.0077574342441654185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3412": { + "node_id": "node_3412", + "content": "MODIFICATION: Increase 13 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n Mass: 270.93 kg\n Factor of Safety: 0.53\n Max Deflection: 7.78e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.9331637220376, + "fos_buckling": 0.5324622273920913, + "fos_yielding": 1.8483867361119273, + "deflection": 0.0077787011519734215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.217)" + }, + "parent_node_id": "node_3411", + "improvement_over_parent": null + }, + "node_3413": { + "node_id": "node_3413", + "content": "MODIFICATION: Increase 14 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.62 kg\n Factor of Safety: 0.53\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.6207090000046, + "fos_buckling": 0.5319430907255188, + "fos_yielding": 1.8473592842639626, + "deflection": 0.006705352277813851, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.647)" + }, + "parent_node_id": "node_3412", + "improvement_over_parent": null + }, + "node_3414": { + "node_id": "node_3414", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41133654241855, + "fos_buckling": 1.5140758394055842, + "fos_yielding": 2.1869788937473396, + "deflection": 0.005154730594333827, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_3413", + "improvement_over_parent": null + }, + "node_3415": { + "node_id": "node_3415", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3414", + "improvement_over_parent": null + }, + "node_3416": { + "node_id": "node_3416", + "content": "INITIAL DESIGN (Trace 489)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 291.79 kg\n Factor of Safety: 1.40\n Max Deflection: 5.48e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.78680463436274, + "fos_buckling": 1.4041336368901305, + "fos_yielding": 2.191884722477289, + "deflection": 0.005481566751059072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3417": { + "node_id": "node_3417", + "content": "MODIFICATION: Increase 8 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 292.64 kg\n Factor of Safety: 1.45\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.6364263484966, + "fos_buckling": 1.4504181785775137, + "fos_yielding": 2.1977930353545263, + "deflection": 0.005474195379989817, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.477)" + }, + "parent_node_id": "node_3416", + "improvement_over_parent": null + }, + "node_3418": { + "node_id": "node_3418", + "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.28 kg\n Factor of Safety: 1.49\n Max Deflection: 5.45e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 295.2824169044043, + "fos_buckling": 1.4921364408036273, + "fos_yielding": 2.1866209445995177, + "deflection": 0.005450449658806318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.289)" + }, + "parent_node_id": "node_3417", + "improvement_over_parent": null + }, + "node_3419": { + "node_id": "node_3419", + "content": "MODIFICATION: Increase 0 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4332045546738, + "fos_buckling": 1.5139701864923218, + "fos_yielding": 2.1869052134146654, + "deflection": 0.005154393940840132, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.513)" + }, + "parent_node_id": "node_3418", + "improvement_over_parent": null + }, + "node_3420": { + "node_id": "node_3420", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3419", + "improvement_over_parent": null + }, + "node_3421": { + "node_id": "node_3421", + "content": "INITIAL DESIGN (Trace 490)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 136.20 kg\n Factor of Safety: 0.62\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.19974760037852, + "fos_buckling": 0.6209392307572644, + "fos_yielding": 1.2456531403185818, + "deflection": 0.012047098910139479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3422": { + "node_id": "node_3422", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 166.88 kg\n Factor of Safety: 0.74\n Max Deflection: 9.85e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.88211089220275, + "fos_buckling": 0.7430688204023307, + "fos_yielding": 1.5259981648684786, + "deflection": 0.009853679915370386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_3421", + "improvement_over_parent": null + }, + "node_3423": { + "node_id": "node_3423", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n Mass: 178.36 kg\n Factor of Safety: 0.77\n Max Deflection: 9.41e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.36431919015513, + "fos_buckling": 0.7685378019429543, + "fos_yielding": 1.4196785013720976, + "deflection": 0.009405060725789413, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002597)" + }, + "parent_node_id": "node_3422", + "improvement_over_parent": null + }, + "node_3424": { + "node_id": "node_3424", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n\nPerformance:\n Mass: 193.15 kg\n Factor of Safety: 1.03\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.15207247882077, + "fos_buckling": 1.034214778839551, + "fos_yielding": 1.3956344582642, + "deflection": 0.008029709745776093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002947)" + }, + "parent_node_id": "node_3423", + "improvement_over_parent": null + }, + "node_3425": { + "node_id": "node_3425", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 241.19 kg\n Factor of Safety: 1.25\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.19362743400478, + "fos_buckling": 1.2529989698948918, + "fos_yielding": 1.740853279226926, + "deflection": 0.006453992116445349, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_3424", + "improvement_over_parent": null + }, + "node_3426": { + "node_id": "node_3426", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.15 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.1542682978303, + "fos_buckling": 1.5129897356749473, + "fos_yielding": 2.1849774361948824, + "deflection": 0.005159161443713714, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_3425", + "improvement_over_parent": null + }, + "node_3427": { + "node_id": "node_3427", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3426", + "improvement_over_parent": null + }, + "node_3428": { + "node_id": "node_3428", + "content": "INITIAL DESIGN (Trace 491)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 221.28 kg\n Factor of Safety: 0.30\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.2809550042967, + "fos_buckling": 0.30489887202359167, + "fos_yielding": 1.1862723409522464, + "deflection": 0.013979865187614016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3429": { + "node_id": "node_3429", + "content": "MODIFICATION: Increase 13 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 226.38 kg\n Factor of Safety: 0.30\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.38415591102495, + "fos_buckling": 0.30484086539306154, + "fos_yielding": 1.230220142699249, + "deflection": 0.01386176110774834, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.529)" + }, + "parent_node_id": "node_3428", + "improvement_over_parent": null + }, + "node_3430": { + "node_id": "node_3430", + "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 229.66 kg\n Factor of Safety: 0.30\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.6558025524615, + "fos_buckling": 0.304766521927777, + "fos_yielding": 1.2299418154057358, + "deflection": 0.0137735732316354, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.200)" + }, + "parent_node_id": "node_3429", + "improvement_over_parent": null + }, + "node_3431": { + "node_id": "node_3431", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n\nPerformance:\n Mass: 252.12 kg\n Factor of Safety: 1.10\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.12295985260113, + "fos_buckling": 1.102449262556158, + "fos_yielding": 1.8865169150655594, + "deflection": 0.00609959588415881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004632)" + }, + "parent_node_id": "node_3430", + "improvement_over_parent": null + }, + "node_3432": { + "node_id": "node_3432", + "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n\nPerformance:\n Mass: 256.65 kg\n Factor of Safety: 1.29\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.64922181750484, + "fos_buckling": 1.2938075462341232, + "fos_yielding": 1.8840016729444398, + "deflection": 0.006015968455966269, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.328)" + }, + "parent_node_id": "node_3431", + "improvement_over_parent": null + }, + "node_3433": { + "node_id": "node_3433", + "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0049)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n\nPerformance:\n Mass: 261.85 kg\n Factor of Safety: 1.29\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.8474059787858, + "fos_buckling": 1.287912060889005, + "fos_yielding": 1.870840778631346, + "deflection": 0.005978843384099116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.374)" + }, + "parent_node_id": "node_3432", + "improvement_over_parent": null + }, + "node_3434": { + "node_id": "node_3434", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0046)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0058)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 303.73 kg\n Factor of Safety: 1.46\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 303.7334367196408, + "fos_buckling": 1.460750389602055, + "fos_yielding": 2.1686504004689615, + "deflection": 0.005169105279663405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_3433", + "improvement_over_parent": null + }, + "node_3435": { + "node_id": "node_3435", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3434", + "improvement_over_parent": null + }, + "node_3436": { + "node_id": "node_3436", + "content": "INITIAL DESIGN (Trace 492)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 251.45 kg\n Factor of Safety: 0.53\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.4454057154872, + "fos_buckling": 0.5344784087997891, + "fos_yielding": 1.461878128593767, + "deflection": 0.01043483210878997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3437": { + "node_id": "node_3437", + "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 253.66 kg\n Factor of Safety: 0.53\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.65760392005933, + "fos_buckling": 0.5344784087997891, + "fos_yielding": 1.8478855126585085, + "deflection": 0.010213635891678384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.290)" + }, + "parent_node_id": "node_3436", + "improvement_over_parent": null + }, + "node_3438": { + "node_id": "node_3438", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 258.48 kg\n Factor of Safety: 0.53\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.4788715138128, + "fos_buckling": 0.5342897403706757, + "fos_yielding": 1.8477372597308415, + "deflection": 0.010170759469477356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.255)" + }, + "parent_node_id": "node_3437", + "improvement_over_parent": null + }, + "node_3439": { + "node_id": "node_3439", + "content": "MODIFICATION: Increase 11 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 265.33 kg\n Factor of Safety: 0.53\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.33323519978956, + "fos_buckling": 0.5334865477634437, + "fos_yielding": 1.8471052161650534, + "deflection": 0.010175742240370338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.558)" + }, + "parent_node_id": "node_3438", + "improvement_over_parent": null + }, + "node_3440": { + "node_id": "node_3440", + "content": "MODIFICATION: Increase 1 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 274.83 kg\n Factor of Safety: 0.53\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.82871042729323, + "fos_buckling": 0.5323778519478369, + "fos_yielding": 1.8462303487426142, + "deflection": 0.008738057268930795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.587)" + }, + "parent_node_id": "node_3439", + "improvement_over_parent": null + }, + "node_3441": { + "node_id": "node_3441", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 277.63 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.63296640643375, + "fos_buckling": 0.5319425472538843, + "fos_yielding": 1.84588608190399, + "deflection": 0.006704824187415245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_3440", + "improvement_over_parent": null + }, + "node_3442": { + "node_id": "node_3442", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4235939488477, + "fos_buckling": 1.513901803106762, + "fos_yielding": 2.185257738428947, + "deflection": 0.0051546683939469665, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" + }, + "parent_node_id": "node_3441", + "improvement_over_parent": null + }, + "node_3443": { + "node_id": "node_3443", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3442", + "improvement_over_parent": null + }, + "node_3444": { + "node_id": "node_3444", + "content": "INITIAL DESIGN (Trace 493)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 184.60 kg\n Factor of Safety: 0.89\n Max Deflection: 8.46e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.60259461873844, + "fos_buckling": 0.8885439712252506, + "fos_yielding": 1.3401843395507442, + "deflection": 0.008463824871541814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3445": { + "node_id": "node_3445", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 224.89 kg\n Factor of Safety: 1.07\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.8857786309056, + "fos_buckling": 1.0688214203629047, + "fos_yielding": 1.6310657476340569, + "deflection": 0.00696796881849007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_3444", + "improvement_over_parent": null + }, + "node_3446": { + "node_id": "node_3446", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 256.33 kg\n Factor of Safety: 1.21\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.333390555458, + "fos_buckling": 1.206085978152596, + "fos_yielding": 1.857755347293009, + "deflection": 0.006126969909911053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_3445", + "improvement_over_parent": null + }, + "node_3447": { + "node_id": "node_3447", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.86 kg\n Factor of Safety: 1.40\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.8597972178034, + "fos_buckling": 1.3993446681794526, + "fos_yielding": 2.185323569279411, + "deflection": 0.005219901479342618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_3446", + "improvement_over_parent": null + }, + "node_3448": { + "node_id": "node_3448", + "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.37 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3703173671213, + "fos_buckling": 1.5138833359514732, + "fos_yielding": 2.1866221647249384, + "deflection": 0.005155497300854528, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.408)" + }, + "parent_node_id": "node_3447", + "improvement_over_parent": null + }, + "node_3449": { + "node_id": "node_3449", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3448", + "improvement_over_parent": null + }, + "node_3450": { + "node_id": "node_3450", + "content": "INITIAL DESIGN (Trace 494)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 226.96 kg\n Factor of Safety: 1.03\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.95645952261805, + "fos_buckling": 1.0253606058375817, + "fos_yielding": 1.4441129858245896, + "deflection": 0.006887046187727193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3451": { + "node_id": "node_3451", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 255.55 kg\n Factor of Safety: 1.14\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.54587724446014, + "fos_buckling": 1.1417965439208633, + "fos_yielding": 1.628141948418022, + "deflection": 0.006129500589914452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_3450", + "improvement_over_parent": null + }, + "node_3452": { + "node_id": "node_3452", + "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 257.48 kg\n Factor of Safety: 1.32\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.4809600932404, + "fos_buckling": 1.3237937502582904, + "fos_yielding": 1.8577962008358524, + "deflection": 0.0060531394903329296, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.340)" + }, + "parent_node_id": "node_3451", + "improvement_over_parent": null + }, + "node_3453": { + "node_id": "node_3453", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.4265368547118, + "fos_buckling": 1.5141220400763975, + "fos_yielding": 2.1870148222492056, + "deflection": 0.005154546557572786, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_3452", + "improvement_over_parent": null + }, + "node_3454": { + "node_id": "node_3454", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3453", + "improvement_over_parent": null + }, + "node_3455": { + "node_id": "node_3455", + "content": "INITIAL DESIGN (Trace 495)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.96 kg\n Factor of Safety: 0.68\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.95951047883966, + "fos_buckling": 0.677241208687654, + "fos_yielding": 1.9423942124133637, + "deflection": 0.008490617240746078, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3456": { + "node_id": "node_3456", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 283.76 kg\n Factor of Safety: 0.85\n Max Deflection: 7.56e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.7637664579802, + "fos_buckling": 0.8515083384320573, + "fos_yielding": 2.1568577615849494, + "deflection": 0.007555049425241501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" + }, + "parent_node_id": "node_3455", + "improvement_over_parent": null + }, + "node_3457": { + "node_id": "node_3457", + "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 288.95 kg\n Factor of Safety: 0.82\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.94501180973197, + "fos_buckling": 0.8249364216887816, + "fos_yielding": 2.1544530532095223, + "deflection": 0.007204932760847398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.258)" + }, + "parent_node_id": "node_3456", + "improvement_over_parent": null + }, + "node_3458": { + "node_id": "node_3458", + "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 297.84 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.8444854099686, + "fos_buckling": 0.8895330931129292, + "fos_yielding": 2.159219665867559, + "deflection": 0.006518298088997581, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.585)" + }, + "parent_node_id": "node_3457", + "improvement_over_parent": null + }, + "node_3459": { + "node_id": "node_3459", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41868507494485, + "fos_buckling": 1.5139322074565909, + "fos_yielding": 2.186944905164162, + "deflection": 0.005154690640355602, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" + }, + "parent_node_id": "node_3458", + "improvement_over_parent": null + }, + "node_3460": { + "node_id": "node_3460", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3459", + "improvement_over_parent": null + }, + "node_3461": { + "node_id": "node_3461", + "content": "INITIAL DESIGN (Trace 496)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 186.17 kg\n Factor of Safety: 0.30\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.16767041934946, + "fos_buckling": 0.2957109729570927, + "fos_yielding": 1.1894551716670965, + "deflection": 0.014185951946479772, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3462": { + "node_id": "node_3462", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 205.63 kg\n Factor of Safety: 0.32\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.626368067067, + "fos_buckling": 0.32346960379217454, + "fos_yielding": 1.3125878439920105, + "deflection": 0.012856593830573994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_3461", + "improvement_over_parent": null + }, + "node_3463": { + "node_id": "node_3463", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n Mass: 234.03 kg\n Factor of Safety: 1.21\n Max Deflection: 6.63e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.03080386877997, + "fos_buckling": 1.2054173871054796, + "fos_yielding": 1.7107115500230967, + "deflection": 0.006633251711848147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004583)" + }, + "parent_node_id": "node_3462", + "improvement_over_parent": null + }, + "node_3464": { + "node_id": "node_3464", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 299.97 kg\n Factor of Safety: 1.48\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.9741859422719, + "fos_buckling": 1.480317306780661, + "fos_yielding": 2.1889108258046046, + "deflection": 0.005201241931928749, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_3463", + "improvement_over_parent": null + }, + "node_3465": { + "node_id": "node_3465", + "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.65 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.65125332472724, + "fos_buckling": 1.5147606195625705, + "fos_yielding": 2.188698740159457, + "deflection": 0.005150887561861349, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.300)" + }, + "parent_node_id": "node_3464", + "improvement_over_parent": null + }, + "node_3466": { + "node_id": "node_3466", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3465", + "improvement_over_parent": null + }, + "node_3467": { + "node_id": "node_3467", + "content": "INITIAL DESIGN (Trace 497)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0020)]\n\nPerformance:\n Mass: 108.01 kg\n Factor of Safety: 0.21\n Max Deflection: 3.23e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.014450360605, + "fos_buckling": 0.21167196771954228, + "fos_yielding": 0.46893052354111286, + "deflection": 0.032283194796589094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3468": { + "node_id": "node_3468", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0020)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n\nPerformance:\n Mass: 110.39 kg\n Factor of Safety: 0.21\n Max Deflection: 2.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.38724940137367, + "fos_buckling": 0.2115965060656058, + "fos_yielding": 0.46876391919290716, + "deflection": 0.02863533346441962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001343)" + }, + "parent_node_id": "node_3467", + "improvement_over_parent": null + }, + "node_3469": { + "node_id": "node_3469", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n\nPerformance:\n Mass: 140.34 kg\n Factor of Safety: 0.26\n Max Deflection: 2.26e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.33542416124826, + "fos_buckling": 0.2633505211595395, + "fos_yielding": 0.5940960876401093, + "deflection": 0.022595406067972286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_3468", + "improvement_over_parent": null + }, + "node_3470": { + "node_id": "node_3470", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n\nPerformance:\n Mass: 150.09 kg\n Factor of Safety: 0.26\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.0873836841516, + "fos_buckling": 0.2632543020236178, + "fos_yielding": 0.7781958907313187, + "deflection": 0.019569619065761615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002187)" + }, + "parent_node_id": "node_3469", + "improvement_over_parent": null + }, + "node_3471": { + "node_id": "node_3471", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n\nPerformance:\n Mass: 164.20 kg\n Factor of Safety: 0.90\n Max Deflection: 9.42e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.19713644573648, + "fos_buckling": 0.8951396464533251, + "fos_yielding": 1.1873885477838173, + "deflection": 0.009424629961965731, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002825)" + }, + "parent_node_id": "node_3470", + "improvement_over_parent": null + }, + "node_3472": { + "node_id": "node_3472", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n\nPerformance:\n Mass: 191.87 kg\n Factor of Safety: 1.03\n Max Deflection: 8.08e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.86951066262498, + "fos_buckling": 1.0282867337205357, + "fos_yielding": 1.3866226993786737, + "deflection": 0.008082496018054993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_3471", + "improvement_over_parent": null + }, + "node_3473": { + "node_id": "node_3473", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n\nPerformance:\n Mass: 238.21 kg\n Factor of Safety: 1.24\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.20864172760557, + "fos_buckling": 1.2399825988409763, + "fos_yielding": 1.719688546188803, + "deflection": 0.006533303448518914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_3472", + "improvement_over_parent": null + }, + "node_3474": { + "node_id": "node_3474", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 303.31 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.3107168741814, + "fos_buckling": 1.5137707102256566, + "fos_yielding": 2.1864243060213466, + "deflection": 0.005156504278541058, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_3473", + "improvement_over_parent": null + }, + "node_3475": { + "node_id": "node_3475", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3474", + "improvement_over_parent": null + }, + "node_3476": { + "node_id": "node_3476", + "content": "INITIAL DESIGN (Trace 498)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 239.98 kg\n Factor of Safety: 0.94\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.98411900515663, + "fos_buckling": 0.9434407240835193, + "fos_yielding": 2.0315335121644127, + "deflection": 0.0065557103580328015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3477": { + "node_id": "node_3477", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 255.27 kg\n Factor of Safety: 1.30\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.26835749474708, + "fos_buckling": 1.2963768893011014, + "fos_yielding": 1.8634117524459688, + "deflection": 0.006083176365181353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003525)" + }, + "parent_node_id": "node_3476", + "improvement_over_parent": null + }, + "node_3478": { + "node_id": "node_3478", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 301.31 kg\n Factor of Safety: 1.49\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 301.3139575536346, + "fos_buckling": 1.4880233517977237, + "fos_yielding": 2.196948964238043, + "deflection": 0.005172001922661492, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_3477", + "improvement_over_parent": null + }, + "node_3479": { + "node_id": "node_3479", + "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.54 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.53526870801596, + "fos_buckling": 1.5145680693225114, + "fos_yielding": 2.187843857523191, + "deflection": 0.0051527054478498905, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.233)" + }, + "parent_node_id": "node_3478", + "improvement_over_parent": null + }, + "node_3480": { + "node_id": "node_3480", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 0.005154733818225317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3479", + "improvement_over_parent": null + }, + "node_3481": { + "node_id": "node_3481", + "content": "INITIAL DESIGN (Trace 499)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 216.24 kg\n Factor of Safety: 1.15\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.2395342259023, + "fos_buckling": 1.1479091669877977, + "fos_yielding": 1.6101094209810636, + "deflection": 0.007116335244215898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3482": { + "node_id": "node_3482", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 248.56 kg\n Factor of Safety: 1.29\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.55611565396902, + "fos_buckling": 1.2902181849516752, + "fos_yielding": 1.849064122024661, + "deflection": 0.006206977333558884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_3481", + "improvement_over_parent": null + }, + "node_3483": { + "node_id": "node_3483", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.29 kg\n Factor of Safety: 1.49\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.2901276074326, + "fos_buckling": 1.4909860551608283, + "fos_yielding": 2.208543890017506, + "deflection": 0.005209536064180878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_3482", + "improvement_over_parent": null + }, + "node_3484": { + "node_id": "node_3484", + "content": "MODIFICATION: Increase 14 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.11 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.1142116786668, + "fos_buckling": 1.5128782392350577, + "fos_yielding": 2.184807848226628, + "deflection": 0.005159713582618327, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.524)" + }, + "parent_node_id": "node_3483", + "improvement_over_parent": null + }, + "node_3485": { + "node_id": "node_3485", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.41541894468946, + "fos_buckling": 1.5140719461653287, + "fos_yielding": 2.1869389320876995, + "deflection": 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